Edit Profile (opens in new tab) de Gosson, Maurice Alexis Co-Author Distance Author ID: de-gosson.maurice-a Published as: de Gosson, Maurice A.; de Gosson, Maurice; De Gosson, Maurice; De Gosson, Maurice A.; de Gosson, M.; Gosson, Maurice De; De Gosson, M. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 172 Publications since 1980, including 9 Books and 37 Additional arXiv Preprints 2 Contributions as Editor Reviewing Activity: 8 Reviews Co-Authors: 37 Co-Authors with 74 Joint Publications 830 Co-Co-Authors all top 5 Co-Authors 100 single-authored 14 Luef, Franz 13 Nicola, Fabio 11 Cordero, Elena 10 de Gosson, Serge M. 10 Dias, Nuno Costa 10 Hiley, Basil J. 10 Prata, João Nuno 8 de Gosson, Charlyne 4 Dennis, Glen 3 Dörfler, Monika 2 Isidro San Juan, José-Maria 1 Abreu, Luís Daniel 1 Balazs, Peter 1 Binz, Ernst 1 Boggiatto, Paolo 1 Cohen, Eliahu 1 Dragovich, Branko 1 Faulhuber, Markus 1 Feichtinger, Hans Georg 1 Glaser, Steffen J. 1 Gröchenig, Karlheinz 1 Khrennikov, Andreĭ Yur’evich 1 Koczor, Bálint 1 Mohageg, Makan 1 Mouayn, Zouhaïr 1 Neuhauser, Markus 1 Nicacio, Fernando 1 Nicola, Elena 1 Oliaro, Alessandro 1 Pauwels, Elmar 1 Piccione, Paolo 1 Romero, José Luis 1 Rottensteiner, David 1 Tabacco, Anita 1 Toft, Joachim 1 Vom Ende, Frederik 1 Zeier, Robert all top 5 Serials 8 Physics Letters. A 8 Foundations of Physics 8 Journal of Physics A: Mathematical and Theoretical 7 Journal of Physics A: Mathematical and General 5 Journal of Mathematical Physics 5 Letters in Mathematical Physics 5 Comptes Rendus de l’Académie des Sciences. Série I 4 Reviews in Mathematical Physics 4 Journal of Geometry and Physics 4 Journal of Functional Analysis 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Applied and Computational Harmonic Analysis 4 Bulletin des Sciences Mathématiques 4 Journal of Pseudo-Differential Operators and Applications 3 Annals of Physics 3 Advances in Theoretical and Mathematical Physics 3 Quanta 2 Annales de l’Institut Fourier 2 The Journal of Fourier Analysis and Applications 2 Mathematical Physics, Analysis and Geometry 2 Annales Henri Poincaré 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Modern Physics Letters A 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Physics Reports 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Integral Equations and Operator Theory 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Advances in Computational Mathematics 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Geometry and Symmetry in Physics 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Fundamental Theories of Physics 1 Mathematical Physics Studies 1 Pseudo-Differential Operators. Theory and Applications 1 Quantum Studies: Mathematics and Foundations 1 Transactions of the American Mathematical Society. Series B 1 Operator Theory: Advances and Applications 1 Applied and Numerical Harmonic Analysis 1 Advanced Textbooks in Mathematics 1 Advances in Analysis and Geometry 1 Mathematical Research all top 5 Fields 100 Quantum theory (81-XX) 44 Differential geometry (53-XX) 29 Partial differential equations (35-XX) 27 Operator theory (47-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 19 Dynamical systems and ergodic theory (37-XX) 15 Mechanics of particles and systems (70-XX) 10 Functional analysis (46-XX) 8 Topological groups, Lie groups (22-XX) 5 Abstract harmonic analysis (43-XX) 5 Geometry (51-XX) 5 Information and communication theory, circuits (94-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Convex and discrete geometry (52-XX) 4 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistics (62-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 117 Publications have been cited 1,138 times in 527 Documents Cited by ▼ Year ▼ Symplectic geometry and quantum mechanics. Zbl 1098.81004 de Gosson, Maurice 167 2006 Symplectic methods in harmonic analysis and in mathematical physics. Zbl 1247.81510 de Gosson, Maurice A. 147 2011 The Wigner transform. Zbl 1372.81009 de Gosson, Maurice 42 2017 Discrete coherent states for higher Landau levels. Zbl 1360.81204 Abreu, L. D.; Balazs, P.; de Gosson, M.; Mouayn, Z. 33 2015 Born-Jordan quantization. Theory and applications. Zbl 1338.81014 de Gosson, Maurice A. 25 2016 The symplectic camel and the uncertainty principle: the tip of an iceberg? Zbl 1165.81030 de Gosson, Maurice A. 24 2009 The principles of Newtonian and quantum mechanics. The need for Planck’s constant, \(h\). Zbl 0991.70001 de Gosson, Maurice A. 23 2001 Spectral properties of a class of generalized Landau operators. Zbl 1159.35077 de Gosson, Maurice A. 22 2008 Symplectic covariance properties for Shubin and Born-Jordan pseudo-differential operators. Zbl 1278.47050 De Gosson, Maurice A. 21 2013 Preferred quantization rules: Born-Jordan versus Weyl. The pseudo-differential point of view. Zbl 1278.81121 De Gosson, Maurice; Luef, Franz 20 2011 Quantum blobs. Zbl 1269.81073 de Gosson, Maurice A. 20 2013 Symplectically covariant Schrödinger equation in phase space. Zbl 1081.81072 de Gosson, Maurice A. 19 2005 Hamiltonian deformations of Gabor frames: first steps. Zbl 1306.81042 de Gosson, Maurice A. 18 2015 On the invertibility of Born-Jordan quantization. Zbl 1338.47057 Cordero, Elena; de Gosson, Maurice; Nicola, Fabio 17 2016 Quantum states and Hardy’s formulation of the uncertainty principle: a symplectic approach. Zbl 1113.81090 de Gosson, Maurice; Luef, Franz 16 2007 On the Weyl representation of metaplectic operators. Zbl 1115.81048 de Gosson, Maurice A. 16 2005 Maslov classes, metaplectic representation and Lagrangian quantization. Zbl 0872.58031 de Gosson, Maurice 16 1997 Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms. Zbl 1322.43003 de Gosson, Maurice A.; Luef, Franz 15 2014 Maslov indices on the metaplectic group \(Mp(n)\). Zbl 0705.22013 de Gosson, Maurice 15 1990 Imprints of the quantum world in classical mechanics. Zbl 1235.81094 de Gosson, Maurice A.; Hiley, Basil J. 15 2011 Phase space quantization and the uncertainty principle. Zbl 1058.81045 de Gosson, Maurice A. 14 2003 A new approach to the \(*\)-genvalue equation. Zbl 1165.53059 Gosson, Maurice De; Luef, Franz 14 2008 A pseudo-differential calculus on non-standard symplectic space; spectral and regularity results in modulation spaces. Zbl 1232.53069 Dias, Nuno Costa; de Gosson, Maurice; Luef, Franz; Prata, João Nuno 13 2011 La définition de l’indice de Maslov sans hypothèse de transversalité. (The definition of the Maslov index without a transversality assumption). Zbl 0705.22012 de Gosson, Maurice 13 1990 Time-frequency analysis of Born-Jordan pseudodifferential operators. Zbl 1356.47055 Cordero, Elena; de Gosson, Maurice; Nicola, Fabio 13 2017 The symplectic camel and phase space quantization. Zbl 1008.53074 de Gosson, Maurice 12 2001 On a product formula for the Conley-Zehnder index of symplectic paths and its applications. Zbl 1145.37013 de Gosson, Maurice; de Gosson, Serge; Piccione, Paolo 11 2008 Semi-classical propagation of wavepackets for the phase space Schrödinger equation: Interpretation in terms of the Feichtinger algebra. Zbl 1137.81030 de Gosson, Maurice A. 11 2008 Bohm’s quantum potential as an internal energy. Zbl 1342.81165 Dennis, Glen; de Gosson, Maurice A.; Hiley, Basil J. 11 2015 Spectral and regularity properties of a pseudo-differential calculus related to Landau quantization. Zbl 1200.81061 De Gosson, Maurice; Luef, Franz 11 2010 The structure of \(q\)-symplectic geometry. Zbl 0829.58015 de Gosson, M. 10 1992 Quantum harmonic analysis of the density matrix. Zbl 1446.81006 de Gosson, Maurice A. 10 2018 On the reduction of the interferences in the Born-Jordan distribution. Zbl 1381.42017 Cordero, Elena; de Gosson, Maurice; Nicola, Fabio 10 2018 Quantum harmonic analysis. An introduction. Zbl 1476.81001 de Gosson, Maurice A. 10 2021 Born-Jordan quantization and the equivalence of the Schrödinger and Heisenberg pictures. Zbl 1302.81115 De Gosson, Maurice A. 10 2014 The ”symplectic camel principle” and semiclassical mechanics. Zbl 1039.53103 de Gosson, Maurice A. 9 2002 On the usefulness of an index due to Leray for studying the intersections of Lagrangian and symplectic paths. Zbl 1179.53080 De Gosson, Maurice 9 2009 Remarks on the fact that the uncertainty principle does not determine the quantum state. Zbl 1203.81012 De Gosson, Maurice; Luef, Franz 9 2007 A deformation quantization theory for noncommutative quantum mechanics. Zbl 1311.81158 Dias, Nuno Costa; de Gosson, Maurice; Luef, Franz; Prata, João Nuno 9 2010 Stability of Gabor frames under small time Hamiltonian evolutions. Zbl 1382.35247 de Gosson, Maurice A.; Gröchenig, Karlheinz; Romero, José Luis 8 2016 Extended Weyl calculus and application to the phase-space Schrödinger equation. Zbl 1072.81041 de Gosson, Maurice A. 7 2005 Quantum mechanics in phase space: the Schrödinger and the Moyal representations. Zbl 1261.81083 Dias, Nuno Costa; De Gosson, Maurice; Luef, Franz; Prata, João Nuno 7 2012 Born-Jordan pseudodifferential operators with symbols in the Shubin classes. Zbl 1387.35640 Cordero, Elena; de Gosson, Maurice; Nicola, Fabio 7 2017 Phase-space Weyl calculus and global hypoellipticity of a class of degenerate elliptic partial differential operators. Zbl 1210.47070 de Gosson, Maurice 7 2007 From Weyl to Born-Jordan quantization: the Schrödinger representation revisited. Zbl 1357.81126 de Gosson, Maurice A. 7 2016 Maximal covariance group of Wigner transforms and pseudo-differential operators. Zbl 1304.35795 Dias, Nuno Costa; De Gosson, Maurice A.; Prata, João Nuno 7 2014 Quantum polar duality and the symplectic camel: a new geometric approach to quantization. Zbl 1479.81037 de Gosson, Maurice A. 6 2021 A refinement of the Robertson-Schrödinger uncertainty principle and a Hirschman-Shannon inequality for Wigner distributions. Zbl 1406.81051 Dias, Nuno Costa; de Gosson, Maurice A.; Prata, João Nuno 6 2019 The canonical group of transformations of a Weyl-Heisenberg frame; applications to Gaussian and Hermitian frames. Zbl 1357.81104 de Gosson, Maurice A. 6 2017 Metaplectic formulation of the Wigner transform and applications. Zbl 1282.35429 Dias, Nuno Costa; De Gosson, Maurice A.; Prata, João Nuno 5 2013 On the positivity of trace class operators. Zbl 07432489 Cordero, Elena; de Gosson, Maurice; Nicola, Fabio 5 2020 Weak values of a quantum observable and the cross-Wigner distribution. Zbl 1255.81024 De Gosson, Maurice A.; De Gosson, Serge M. 5 2012 Metaplectic representation, Conley-Zehnder index, and Weyl calculus on phase space. Zbl 1156.81028 de Gosson, Maurice 5 2007 Born-Jordan pseudodifferential calculus, Bopp operators and deformation quantization. Zbl 1394.47050 de Gosson, Maurice A.; Luef, Franz 5 2016 Paths of canonical transformations and their quantization. Zbl 1323.81048 de Gosson, Maurice A. 5 2015 Two geometric interpretations of the multidimensional Hardy uncertainty principle. Zbl 1353.53086 de Gosson, Maurice A. 5 2017 The principles of Newtonian and quantum mechanics. The need for Planck’s constant, \(h\). With a forword by Basil Hiley. 2nd edition. Zbl 1358.70001 de Gosson, Maurice A. 5 2017 The quantum motion of half-densities and the derivation of Schrödinger’s equation. Zbl 0961.81010 de Gosson, Maurice 4 1998 Symplectic quantum cells and Husimi-Wigner functions. (Cellules quantiques symplectiques et fonctions de Husimi-Wigner.) Zbl 1074.81050 de Gosson, Maurice 4 2005 Some \(p\)-adic differential equations. Zbl 1006.12006 de Gosson, Maurice; Dragovich, Branko; Khrennikov, Andrei 4 2001 The optimal pure Gaussian state canonically associated to a Gaussian quantum state. Zbl 1209.81026 de Gosson, Maurice 4 2004 The uncertainty principle and positivity of trace-class operators: applications to density operators. (Principe d’incertitude et positivité des opérateurs à trace; applications aux opérateurs densité.) Zbl 1140.81014 de Gosson, Maurice; Luef, Franz 4 2008 La relation entre \(Sp_{\infty}\), revêtement universel du groupe symplectique Sp, et Sp\(\times {\mathbb{Z}}\). (The relation between \(Sp_{\infty}\), the universal covering of the symplectic group Sp, and Sp\(\times {\mathbb{Z}})\). Zbl 0732.22001 de Gosson, Maurice 4 1990 On the usefulness of modulation spaces in deformation quantization. Zbl 1177.81074 de Gosson, Maurice; Luef, Franz 4 2009 Quantum indeterminacy and polar duality. Zbl 1332.81111 de Gosson, Maurice A. 4 2015 On the symplectic covariance and interferences of time-frequency distributions. Zbl 1388.42017 Cordero, Elena; de Gosson, Maurice; Dörfler, Monika; Nicola, Fabio 4 2018 Fermi’s ansatz and Bohm’s quantum potential. Zbl 1303.81012 Dennis, Glen; de Gosson, Maurice A.; Hiley, Basil J. 4 2014 Symplectic coarse-grained dynamics: chalkboard motion in classical and quantum mechanics. Zbl 07435489 de Gosson, Maurice A. 3 2020 Generalized anti-Wick quantum states. Zbl 1484.81012 de Gosson, Maurice 3 2020 A symplectic extension map and a new Shubin class of pseudo-differential operators. Zbl 1303.47066 Dias, Nuno Costa; de Gosson, Maurice A.; Prata, João Nuno 3 2014 Mixed quantum states with variable Planck constant. Zbl 1375.83075 de Gosson, Maurice A. 3 2017 Uncertainty principle, phase space ellipsoids and Weyl calculus. Zbl 1096.81010 de Gosson, Maurice 3 2006 Polar duality between pairs of transversal Lagrangian planes; applications to uncertainty principles. Zbl 1495.52004 de Gosson, Maurice A. 3 2022 Lagrangian path intersections and the Leray index. Zbl 0985.53038 de Gosson, Maurice 3 2000 Extension of the Conley-Zehnder index, a product formula, and an application to the Weyl representation of metaplectic operators. Zbl 1112.53065 de Gosson, Maurice A.; de Gosson, Serge M. 3 2006 On the notion of phase in mechanics. Zbl 1088.81069 de Gosson, Maurice A. 2 2004 On the Leray-Maslov quantization of Lagrangian submanifolds. Zbl 0795.58022 de Gosson, Maurice A. 2 1994 Abelian gerbes as a gauge theory of quantum mechanics on phase space. Zbl 1119.81069 Isidro, José M.; de Gosson, Maurice A. 2 2007 A transformation property of the Wigner distribution under Hamiltonian symplectomorphisms. Zbl 1278.46038 De Gosson, Maurice 2 2011 Born-Jordan quantization and the uncertainty principle. Zbl 1276.81079 De Gosson, Maurice A. 2 2013 Demazure-Kashiwara cocycles and metaplectic geometry. (Cocycles de Demazure-Kashiwara et géométrie métaplectique.) Zbl 0776.53022 de Gosson, Maurice A. 2 1992 The angular momentum dilemma and Born-Jordan quantization. Zbl 1368.81108 de Gosson, Maurice A. 2 2017 Partial traces and the geometry of entanglement: sufficient conditions for the separability of Gaussian states. Zbl 1492.81032 Dias, Nuno Costa; de Gosson, Maurice; Prata, João Nuno 2 2022 Generalized Born-Jordan distributions and applications. Zbl 1442.42029 Cordero, Elena; de Gosson, Maurice; Dörfler, Monika; Nicola, Fabio 2 2020 On density operators with Gaussian Weyl symbols. Zbl 07218925 de Gosson, Maurice A. 2 2020 Observing quantum trajectories: From Mott’s problem to quantum Zeno effect and back. Zbl 1377.81016 de Gosson, Maurice; Hiley, Basil; Cohen, Eliahu 2 2016 On half-form quantization of Lagrangian manifolds and quantum mechanics in phase space. Zbl 0878.58023 de Gosson, Maurice 2 1997 A characterization of modulation spaces by symplectic rotations. Zbl 1434.42035 Cordero, Elena; de Gosson, Maurice; Nicola, Fabio 2 2020 Gaussian distributions and phase space Weyl-Heisenberg frames. Zbl 1440.81058 Faulhuber, Markus; de Gosson, Maurice A.; Rottensteiner, David 2 2020 On the purity and entropy of mixed Gaussian states. Zbl 07096642 de Gosson, Maurice 2 2019 On the disentanglement of Gaussian quantum states by symplectic rotations. (Sur la désintrication des états quantiques gaussiens par des rotations symplectiques.) Zbl 1444.81009 de Gosson, Maurice A. 2 2020 Pointillisme à la Signac and construction of a quantum fiber bundle over convex bodies. Zbl 1528.81180 de Gosson, Maurice; de Gosson, Charlyne 2 2023 Short-time quantum propagator and Bohmian trajectories. Zbl 1295.81082 de Gosson, Maurice; Hiley, Basil 2 2013 A gauge theory of quantum mechanics. Zbl 1117.81088 Isidro, José M.; de Gosson, Maurice A. 1 2007 Semi-classical time-frequency analysis and applications. Zbl 1413.42046 Cordero, Elena; de Gosson, Maurice; Nicola, Fabio 1 2017 Quantum trajectories: Dirac, Moyal and Bohm. Zbl 1484.81014 Hiley, Basil J.; de Gosson, Maurice A.; Dennis, Glen 1 2019 Geometric quantum states and Lagrangian polar duality: quantum mechanics without wavefunctions. Zbl 1536.81095 de Gosson, Maurice A. 1 2023 A metaplectic perspective of uncertainty principles in the linear canonical transform domain. Zbl 1548.81142 Dias, Nuno Costa; de Gosson, Maurice; Prata, João Nuno 1 2024 The reconstruction problem and weak quantum values. Zbl 1245.81067 De Gosson, Maurice A.; De Gosson, Serge M. 1 2012 The cohomological meaning of Maslov’s Langrangian path intersection index. Zbl 1027.53099 De Gosson, M.; De Gosson, S. 1 2003 A metaplectic perspective of uncertainty principles in the linear canonical transform domain. Zbl 1548.81142 Dias, Nuno Costa; de Gosson, Maurice; Prata, João Nuno 1 2024 Pointillisme à la Signac and construction of a quantum fiber bundle over convex bodies. Zbl 1528.81180 de Gosson, Maurice; de Gosson, Charlyne 2 2023 Geometric quantum states and Lagrangian polar duality: quantum mechanics without wavefunctions. Zbl 1536.81095 de Gosson, Maurice A. 1 2023 Phase spaces, parity operators, and the Born-Jordan distribution. Zbl 1534.81078 Koczor, Bálint; vom Ende, Frederik; de Gosson, Maurice; Glaser, Steffen J.; Zeier, Robert 1 2023 Polar duality between pairs of transversal Lagrangian planes; applications to uncertainty principles. Zbl 1495.52004 de Gosson, Maurice A. 3 2022 Partial traces and the geometry of entanglement: sufficient conditions for the separability of Gaussian states. Zbl 1492.81032 Dias, Nuno Costa; de Gosson, Maurice; Prata, João Nuno 2 2022 Quantum harmonic analysis. An introduction. Zbl 1476.81001 de Gosson, Maurice A. 10 2021 Quantum polar duality and the symplectic camel: a new geometric approach to quantization. Zbl 1479.81037 de Gosson, Maurice A. 6 2021 Gaussian quantum states can be disentangled using symplectic rotations. Zbl 1467.81016 de Gosson, Maurice A. 1 2021 On the positivity of trace class operators. Zbl 07432489 Cordero, Elena; de Gosson, Maurice; Nicola, Fabio 5 2020 Symplectic coarse-grained dynamics: chalkboard motion in classical and quantum mechanics. Zbl 07435489 de Gosson, Maurice A. 3 2020 Generalized anti-Wick quantum states. Zbl 1484.81012 de Gosson, Maurice 3 2020 Generalized Born-Jordan distributions and applications. Zbl 1442.42029 Cordero, Elena; de Gosson, Maurice; Dörfler, Monika; Nicola, Fabio 2 2020 On density operators with Gaussian Weyl symbols. Zbl 07218925 de Gosson, Maurice A. 2 2020 A characterization of modulation spaces by symplectic rotations. Zbl 1434.42035 Cordero, Elena; de Gosson, Maurice; Nicola, Fabio 2 2020 Gaussian distributions and phase space Weyl-Heisenberg frames. Zbl 1440.81058 Faulhuber, Markus; de Gosson, Maurice A.; Rottensteiner, David 2 2020 On the disentanglement of Gaussian quantum states by symplectic rotations. (Sur la désintrication des états quantiques gaussiens par des rotations symplectiques.) Zbl 1444.81009 de Gosson, Maurice A. 2 2020 Continuity properties for Born-Jordan operators with symbols in Hörmander classes and modulation spaces. Zbl 1499.47022 de Gosson, Maurice; Toft, Joachim 1 2020 Symplectic coarse-grained classical and semclassical evolution of subsystems: new theoretical approach. Zbl 1454.81088 de Gosson, Maurice A. 1 2020 A refinement of the Robertson-Schrödinger uncertainty principle and a Hirschman-Shannon inequality for Wigner distributions. Zbl 1406.81051 Dias, Nuno Costa; de Gosson, Maurice A.; Prata, João Nuno 6 2019 On the purity and entropy of mixed Gaussian states. Zbl 07096642 de Gosson, Maurice 2 2019 Quantum trajectories: Dirac, Moyal and Bohm. Zbl 1484.81014 Hiley, Basil J.; de Gosson, Maurice A.; Dennis, Glen 1 2019 Landscapes of time-frequency analysis. Based on talks given at the inaugural conference on aspects of time-frequency analysis, Turin, Italy, July 5–7, 2018. Zbl 1411.35009 1 2019 Quantum harmonic analysis of the density matrix. Zbl 1446.81006 de Gosson, Maurice A. 10 2018 On the reduction of the interferences in the Born-Jordan distribution. Zbl 1381.42017 Cordero, Elena; de Gosson, Maurice; Nicola, Fabio 10 2018 On the symplectic covariance and interferences of time-frequency distributions. Zbl 1388.42017 Cordero, Elena; de Gosson, Maurice; Dörfler, Monika; Nicola, Fabio 4 2018 Born-Jordan pseudodifferential operators and the Dirac correspondence: beyond the Groenewold-van Hove theorem. Zbl 1391.35443 de Gosson, Maurice A.; Nicola, Fabio 1 2018 Relative phase shifts for metaplectic isotopies acting on mixed Gaussian states. Zbl 1390.81246 de Gosson, Maurice A.; Nicacio, Fernando 1 2018 The Wigner transform. Zbl 1372.81009 de Gosson, Maurice 42 2017 Time-frequency analysis of Born-Jordan pseudodifferential operators. Zbl 1356.47055 Cordero, Elena; de Gosson, Maurice; Nicola, Fabio 13 2017 Born-Jordan pseudodifferential operators with symbols in the Shubin classes. Zbl 1387.35640 Cordero, Elena; de Gosson, Maurice; Nicola, Fabio 7 2017 The canonical group of transformations of a Weyl-Heisenberg frame; applications to Gaussian and Hermitian frames. Zbl 1357.81104 de Gosson, Maurice A. 6 2017 Two geometric interpretations of the multidimensional Hardy uncertainty principle. Zbl 1353.53086 de Gosson, Maurice A. 5 2017 The principles of Newtonian and quantum mechanics. The need for Planck’s constant, \(h\). With a forword by Basil Hiley. 2nd edition. Zbl 1358.70001 de Gosson, Maurice A. 5 2017 Mixed quantum states with variable Planck constant. Zbl 1375.83075 de Gosson, Maurice A. 3 2017 The angular momentum dilemma and Born-Jordan quantization. Zbl 1368.81108 de Gosson, Maurice A. 2 2017 Semi-classical time-frequency analysis and applications. Zbl 1413.42046 Cordero, Elena; de Gosson, Maurice; Nicola, Fabio 1 2017 Quantum harmonic analysis and the positivity of trace class operators; applications to quantum mechanics. Zbl 1428.81086 Nicola, Elena; de Gosson, Maurice; Nicola, Fabio 1 2017 Born-Jordan quantization. Theory and applications. Zbl 1338.81014 de Gosson, Maurice A. 25 2016 On the invertibility of Born-Jordan quantization. Zbl 1338.47057 Cordero, Elena; de Gosson, Maurice; Nicola, Fabio 17 2016 Stability of Gabor frames under small time Hamiltonian evolutions. Zbl 1382.35247 de Gosson, Maurice A.; Gröchenig, Karlheinz; Romero, José Luis 8 2016 From Weyl to Born-Jordan quantization: the Schrödinger representation revisited. Zbl 1357.81126 de Gosson, Maurice A. 7 2016 Born-Jordan pseudodifferential calculus, Bopp operators and deformation quantization. Zbl 1394.47050 de Gosson, Maurice A.; Luef, Franz 5 2016 Observing quantum trajectories: From Mott’s problem to quantum Zeno effect and back. Zbl 1377.81016 de Gosson, Maurice; Hiley, Basil; Cohen, Eliahu 2 2016 Discrete coherent states for higher Landau levels. Zbl 1360.81204 Abreu, L. D.; Balazs, P.; de Gosson, M.; Mouayn, Z. 33 2015 Hamiltonian deformations of Gabor frames: first steps. Zbl 1306.81042 de Gosson, Maurice A. 18 2015 Bohm’s quantum potential as an internal energy. Zbl 1342.81165 Dennis, Glen; de Gosson, Maurice A.; Hiley, Basil J. 11 2015 Paths of canonical transformations and their quantization. Zbl 1323.81048 de Gosson, Maurice A. 5 2015 Quantum indeterminacy and polar duality. Zbl 1332.81111 de Gosson, Maurice A. 4 2015 The phase space formulation of time-symmetric quantum mechanics. Zbl 1351.81067 de Gosson, Charlyne; de Gosson, Maurice A. 1 2015 Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms. Zbl 1322.43003 de Gosson, Maurice A.; Luef, Franz 15 2014 Born-Jordan quantization and the equivalence of the Schrödinger and Heisenberg pictures. Zbl 1302.81115 De Gosson, Maurice A. 10 2014 Maximal covariance group of Wigner transforms and pseudo-differential operators. Zbl 1304.35795 Dias, Nuno Costa; De Gosson, Maurice A.; Prata, João Nuno 7 2014 Fermi’s ansatz and Bohm’s quantum potential. Zbl 1303.81012 Dennis, Glen; de Gosson, Maurice A.; Hiley, Basil J. 4 2014 A symplectic extension map and a new Shubin class of pseudo-differential operators. Zbl 1303.47066 Dias, Nuno Costa; de Gosson, Maurice A.; Prata, João Nuno 3 2014 On the prolate spheroidal wave functions and Hardy’s uncertainty principle. Zbl 1361.42010 Pauwels, Elmar; de Gosson, Maurice 1 2014 Symplectic covariance properties for Shubin and Born-Jordan pseudo-differential operators. Zbl 1278.47050 De Gosson, Maurice A. 21 2013 Quantum blobs. Zbl 1269.81073 de Gosson, Maurice A. 20 2013 Metaplectic formulation of the Wigner transform and applications. Zbl 1282.35429 Dias, Nuno Costa; De Gosson, Maurice A.; Prata, João Nuno 5 2013 Born-Jordan quantization and the uncertainty principle. Zbl 1276.81079 De Gosson, Maurice A. 2 2013 Short-time quantum propagator and Bohmian trajectories. Zbl 1295.81082 de Gosson, Maurice; Hiley, Basil 2 2013 Clifford algebras in symplectic geometry and quantum mechanics. Zbl 1276.81065 Binz, Ernst; de Gosson, Maurice A.; Hiley, Basil J. 1 2013 Quantum mechanics in phase space: the Schrödinger and the Moyal representations. Zbl 1261.81083 Dias, Nuno Costa; De Gosson, Maurice; Luef, Franz; Prata, João Nuno 7 2012 Weak values of a quantum observable and the cross-Wigner distribution. Zbl 1255.81024 De Gosson, Maurice A.; De Gosson, Serge M. 5 2012 The reconstruction problem and weak quantum values. Zbl 1245.81067 De Gosson, Maurice A.; De Gosson, Serge M. 1 2012 Symplectic methods in harmonic analysis and in mathematical physics. Zbl 1247.81510 de Gosson, Maurice A. 147 2011 Preferred quantization rules: Born-Jordan versus Weyl. The pseudo-differential point of view. Zbl 1278.81121 De Gosson, Maurice; Luef, Franz 20 2011 Imprints of the quantum world in classical mechanics. Zbl 1235.81094 de Gosson, Maurice A.; Hiley, Basil J. 15 2011 A pseudo-differential calculus on non-standard symplectic space; spectral and regularity results in modulation spaces. Zbl 1232.53069 Dias, Nuno Costa; de Gosson, Maurice; Luef, Franz; Prata, João Nuno 13 2011 A transformation property of the Wigner distribution under Hamiltonian symplectomorphisms. Zbl 1278.46038 De Gosson, Maurice 2 2011 A pseudodifferential calculus on non-standard symplectic space. Zbl 1228.35280 de Gosson, Maurice A. 1 2011 Spectral and regularity properties of a pseudo-differential calculus related to Landau quantization. Zbl 1200.81061 De Gosson, Maurice; Luef, Franz 11 2010 A deformation quantization theory for noncommutative quantum mechanics. Zbl 1311.81158 Dias, Nuno Costa; de Gosson, Maurice; Luef, Franz; Prata, João Nuno 9 2010 The symplectic camel and the uncertainty principle: the tip of an iceberg? Zbl 1165.81030 de Gosson, Maurice A. 24 2009 On the usefulness of an index due to Leray for studying the intersections of Lagrangian and symplectic paths. Zbl 1179.53080 De Gosson, Maurice 9 2009 On the usefulness of modulation spaces in deformation quantization. Zbl 1177.81074 de Gosson, Maurice; Luef, Franz 4 2009 Spectral properties of a class of generalized Landau operators. Zbl 1159.35077 de Gosson, Maurice A. 22 2008 A new approach to the \(*\)-genvalue equation. Zbl 1165.53059 Gosson, Maurice De; Luef, Franz 14 2008 On a product formula for the Conley-Zehnder index of symplectic paths and its applications. Zbl 1145.37013 de Gosson, Maurice; de Gosson, Serge; Piccione, Paolo 11 2008 Semi-classical propagation of wavepackets for the phase space Schrödinger equation: Interpretation in terms of the Feichtinger algebra. Zbl 1137.81030 de Gosson, Maurice A. 11 2008 The uncertainty principle and positivity of trace-class operators: applications to density operators. (Principe d’incertitude et positivité des opérateurs à trace; applications aux opérateurs densité.) Zbl 1140.81014 de Gosson, Maurice; Luef, Franz 4 2008 Quantum states and Hardy’s formulation of the uncertainty principle: a symplectic approach. Zbl 1113.81090 de Gosson, Maurice; Luef, Franz 16 2007 Remarks on the fact that the uncertainty principle does not determine the quantum state. Zbl 1203.81012 De Gosson, Maurice; Luef, Franz 9 2007 Phase-space Weyl calculus and global hypoellipticity of a class of degenerate elliptic partial differential operators. Zbl 1210.47070 de Gosson, Maurice 7 2007 Metaplectic representation, Conley-Zehnder index, and Weyl calculus on phase space. Zbl 1156.81028 de Gosson, Maurice 5 2007 Abelian gerbes as a gauge theory of quantum mechanics on phase space. Zbl 1119.81069 Isidro, José M.; de Gosson, Maurice A. 2 2007 A gauge theory of quantum mechanics. Zbl 1117.81088 Isidro, José M.; de Gosson, Maurice A. 1 2007 Symplectic geometry and quantum mechanics. Zbl 1098.81004 de Gosson, Maurice 167 2006 Uncertainty principle, phase space ellipsoids and Weyl calculus. Zbl 1096.81010 de Gosson, Maurice 3 2006 Extension of the Conley-Zehnder index, a product formula, and an application to the Weyl representation of metaplectic operators. Zbl 1112.53065 de Gosson, Maurice A.; de Gosson, Serge M. 3 2006 Symplectically covariant Schrödinger equation in phase space. Zbl 1081.81072 de Gosson, Maurice A. 19 2005 On the Weyl representation of metaplectic operators. Zbl 1115.81048 de Gosson, Maurice A. 16 2005 Extended Weyl calculus and application to the phase-space Schrödinger equation. Zbl 1072.81041 de Gosson, Maurice A. 7 2005 Symplectic quantum cells and Husimi-Wigner functions. (Cellules quantiques symplectiques et fonctions de Husimi-Wigner.) Zbl 1074.81050 de Gosson, Maurice 4 2005 Schrödinger equation in phase space, irreducible representations of the Heisenberg group, and deformation quantization. Zbl 1391.81110 de Gosson, Maurice A. 1 2005 The optimal pure Gaussian state canonically associated to a Gaussian quantum state. Zbl 1209.81026 de Gosson, Maurice 4 2004 On the notion of phase in mechanics. Zbl 1088.81069 de Gosson, Maurice A. 2 2004 Phase space quantization and the uncertainty principle. Zbl 1058.81045 de Gosson, Maurice A. 14 2003 The cohomological meaning of Maslov’s Langrangian path intersection index. Zbl 1027.53099 De Gosson, M.; De Gosson, S. 1 2003 The ”symplectic camel principle” and semiclassical mechanics. Zbl 1039.53103 de Gosson, Maurice A. 9 2002 ...and 17 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 580 Authors 84 de Gosson, Maurice Alexis 34 Cordero, Elena 27 Nicola, Fabio 16 Dias, Nuno Costa 16 Luef, Franz 16 Prata, João Nuno 15 Trapasso, Salvatore Ivan 9 Faulhuber, Markus 9 Giacchi, Gianluca 9 Gröchenig, Karlheinz 9 Hiley, Basil J. 8 Abreu, Luís Daniel 8 Mouayn, Zouhaïr 8 Rodino, Luigi 8 Romero, José Luis 8 Toft, Joachim 7 Skrettingland, Eirik 7 Tronci, Cesare 6 Amorim, Ronni G. G. 6 Jain, Tanvi 6 Petersen, Ian Richard 6 Teofanov, Nenad 5 Gazeau, Jean-Pierre 5 Vladimirov, Igor G. 5 Wong, Man Wah 4 Balazs, Peter 4 Bhatia, Rajendra 4 Boggiatto, Paolo 4 Cappiello, Marco 4 Dennis, Glen 4 Domański, Ziemowit 4 Dragovich, Branko 4 Ghanmi, Allal 4 Isidro San Juan, José-Maria 4 Kalogeropoulos, Nikolaos 4 Keller, Johannes 4 Kisil, Vladimir V. 4 Maslov, Viktor Pavlovich 4 Mishra, Hemant Kumar 4 Molahajloo, Shahla 4 Ohsawa, Tomoki 4 Oliaro, Alessandro 4 Ruzhansky, Michael V. 4 Solov’ev, Mikhaĭl Aleksandrovich 4 Tokmagambetov, Niyaz Esenzholovich 4 Vashisht, Lalit Kumar 4 Vianna, J. David M. 4 Wahlberg, Patrik 4 Zhang, Zhichao 3 Abreu-Blaya, Ricardo 3 Agrachev, Andreĭ Aleksandrovich 3 Bastianoni, Federico 3 Beschastnyi, Ivan Yu. 3 Błaszak, Maciej 3 Bory Reyes, Juan 3 Carypis, Evanthia 3 Cohen, Eliahu 3 de Gosson, Charlyne 3 de Gosson, Serge M. 3 De la Cruz-Toranzo, Lianet 3 D’Elia, Lorenza 3 Dörfler, Monika 3 El Moize, Othmane 3 Farashahi, Arash Ghaani 3 Feichtinger, Hans Georg 3 Fernandes, Marco C. B. 3 Furutani, Kenro 3 Gay-Balmaz, François 3 Hussin, Véronique 3 Jaming, Philippe 3 Jin, Pengzhan 3 Khanna, Faqir Chand 3 Lasser, Caroline 3 Latushkin, Yuri 3 Nicacio, Fernando 3 Piccione, Paolo 3 Santana, Ademir E. 3 Savin, Anton Yur’evich 3 Schrohe, Elmar 3 Schulz, René M. 3 Son, Nguyen Thanh 3 Speckbacher, Michael 3 Stykel, Tatjana 3 Tonni, Erik 3 Zeier, Robert 3 Zelaya, Kevin 3 Zhu, Chaofeng 2 Abdul-Rahman, Houssam M. 2 Absil, Pierre-Antoine 2 Afkham, Babak Maboudi 2 Arroyo-Neri, Jorge Luis 2 Bais, Shubham R. 2 Baraviera, Alexandre Tavares 2 Beck, Margaret 2 Benahmadi, Abdelhadi 2 Booss-Bavnbek, Bernhelm 2 Braunss, Günter 2 Cauli, Alessandra 2 Clerc, Jean-Louis 2 Cohen, Leon ...and 480 more Authors all top 5 Cited in 174 Serials 38 Journal of Mathematical Physics 27 The Journal of Fourier Analysis and Applications 21 Journal of Physics A: Mathematical and Theoretical 19 Journal of Pseudo-Differential Operators and Applications 17 Journal of Mathematical Analysis and Applications 17 Physics Letters. 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Académie des Sciences, Paris 5 Analysis and Applications (Singapore) 5 International Journal of Wavelets, Multiresolution and Information Processing 5 International Journal of Geometric Methods in Modern Physics 5 Quantum Studies: Mathematics and Foundations 4 Physica A 4 Reports on Mathematical Physics 4 Transactions of the American Mathematical Society 4 Russian Journal of Mathematical Physics 4 Advances in Applied Clifford Algebras 4 Quanta 3 Integral Equations and Operator Theory 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Results in Mathematics 3 Annals of Global Analysis and Geometry 3 Journal of High Energy Physics 3 Advances in High Energy Physics 2 International Journal of Modern Physics A 2 Classical and Quantum Gravity 2 Journal d’Analyse Mathématique 2 Journal of Statistical Physics 2 Mathematical Notes 2 Nonlinearity 2 Chaos, Solitons and Fractals 2 Annales de l’Institut Fourier 2 Canadian Mathematical Bulletin 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. 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The Electronic Journal of Linear Algebra 2 Journal of Mathematical Chemistry 2 Mathematical Physics, Analysis and Geometry 2 Geometry & Topology 2 Annales Henri Poincaré 2 Mediterranean Journal of Mathematics 2 Journal of Statistical Mechanics: Theory and Experiment 2 Complex Variables and Elliptic Equations 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Fixed Point Theory and Applications 2 Complex Analysis and Operator Theory 2 Frontiers of Mathematics in China 2 Journal of Modern Dynamics 2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Analysis and Mathematical Physics 1 Modern Physics Letters A 1 Analysis Mathematica 1 Applicable Analysis 1 Archive for History of Exact Sciences 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 European Journal of Physics 1 General Relativity and Gravitation 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Nuclear Physics. B 1 Physics Reports 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Fortschritte der Physik 1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 1 Acta Scientiarum Mathematicarum 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Automatica 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Inventiones Mathematicae ...and 74 more Serials all top 5 Cited in 59 Fields 256 Quantum theory (81-XX) 131 Harmonic analysis on Euclidean spaces (42-XX) 106 Partial differential equations (35-XX) 99 Differential geometry (53-XX) 97 Operator theory (47-XX) 65 Functional analysis (46-XX) 39 Information and communication theory, circuits (94-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 33 Topological groups, Lie groups (22-XX) 32 Dynamical systems and ergodic theory (37-XX) 29 Mechanics of particles and systems (70-XX) 26 Functions of a complex variable (30-XX) 23 Integral transforms, operational calculus (44-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Abstract harmonic analysis (43-XX) 20 Global analysis, analysis on manifolds (58-XX) 16 Special functions (33-XX) 15 Ordinary differential equations (34-XX) 15 Numerical analysis (65-XX) 13 Relativity and gravitational theory (83-XX) 12 Number theory (11-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Real functions (26-XX) 10 Algebraic geometry (14-XX) 10 Probability theory and stochastic processes (60-XX) 10 Statistics (62-XX) 8 Nonassociative rings and algebras (17-XX) 8 Group theory and generalizations (20-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Optics, electromagnetic theory (78-XX) 6 Associative rings and algebras (16-XX) 6 Geometry (51-XX) 6 Systems theory; control (93-XX) 5 Approximations and expansions (41-XX) 5 Fluid mechanics (76-XX) 4 Combinatorics (05-XX) 4 Sequences, series, summability (40-XX) 4 Convex and discrete geometry (52-XX) 3 History and biography (01-XX) 3 Potential theory (31-XX) 3 Manifolds and cell complexes (57-XX) 2 Commutative algebra (13-XX) 2 Measure and integration (28-XX) 2 Algebraic topology (55-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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