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de Gosson, Maurice Alexis

Author ID: de-gosson.maurice-a Recent zbMATH articles by "de Gosson, Maurice Alexis"
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.
External Links: MGP · Wikidata · GND · IdRef
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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 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

99 Quantum theory (81-XX)
45 Differential geometry (53-XX)
30 Partial differential equations (35-XX)
27 Operator theory (47-XX)
25 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 Numerical analysis (65-XX)
3 General and overarching topics; collections (00-XX)
3 Convex and discrete geometry (52-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 Statistical mechanics, structure of matter (82-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 Integral transforms, operational calculus (44-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 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Systems theory; control (93-XX)

Publications by Year

Citations contained in zbMATH Open

112 Publications have been cited 1,089 times in 499 Documents Cited by Year
Symplectic geometry and quantum mechanics. Zbl 1098.81004
de Gosson, Maurice
160
2006
Symplectic methods in harmonic analysis and in mathematical physics. Zbl 1247.81510
de Gosson, Maurice A.
138
2011
The Wigner transform. Zbl 1372.81009
de Gosson, Maurice
37
2017
Discrete coherent states for higher Landau levels. Zbl 1360.81204
Abreu, L. D.; Balazs, P.; de Gosson, M.; Mouayn, Z.
32
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.
23
2009
The principles of Newtonian and quantum mechanics. The need for Planck’s constant, \(h\). Zbl 0991.70001
de Gosson, Maurice A.
22
2001
Spectral properties of a class of generalized Landau operators. Zbl 1159.35077
de Gosson, Maurice A.
21
2008
Symplectic covariance properties for Shubin and Born-Jordan pseudo-differential operators. Zbl 1278.47050
De Gosson, Maurice A.
21
2013
Symplectically covariant Schrödinger equation in phase space. Zbl 1081.81072
de Gosson, Maurice A.
20
2005
Quantum blobs. Zbl 1269.81073
de Gosson, Maurice A.
20
2013
Preferred quantization rules: Born-Jordan versus Weyl. The pseudo-differential point of view. Zbl 1278.81121
De Gosson, Maurice; Luef, Franz
20
2011
Hamiltonian deformations of Gabor frames: first steps. Zbl 1306.81042
de Gosson, Maurice A.
17
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
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
16
2014
Maslov indices on the metaplectic group \(Mp(n)\). Zbl 0705.22013
de Gosson, Maurice
15
1990
On the Weyl representation of metaplectic operators. Zbl 1115.81048
de Gosson, Maurice A.
15
2005
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
Imprints of the quantum world in classical mechanics. Zbl 1235.81094
de Gosson, Maurice A.; Hiley, Basil J.
14
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
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
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 symplectic camel and phase space quantization. Zbl 1008.53074
de Gosson, Maurice
11
2001
Spectral and regularity properties of a pseudo-differential calculus related to Landau quantization. Zbl 1200.81061
De Gosson, Maurice; Luef, Franz
10
2010
Quantum harmonic analysis of the density matrix. Zbl 1446.81006
de Gosson, Maurice A.
10
2018
The structure of \(q\)-symplectic geometry. Zbl 0829.58015
de Gosson, M.
10
1992
Born-Jordan quantization and the equivalence of the Schrödinger and Heisenberg pictures. Zbl 1302.81115
De Gosson, Maurice A.
10
2014
Bohm’s quantum potential as an internal energy. Zbl 1342.81165
Dennis, Glen; de Gosson, Maurice A.; Hiley, Basil J.
10
2015
On the reduction of the interferences in the Born-Jordan distribution. Zbl 1381.42017
Cordero, Elena; de Gosson, Maurice; Nicola, Fabio
10
2018
Remarks on the fact that the uncertainty principle does not determine the quantum state. Zbl 1203.81012
De Gosson, Maurice; Luef, Franz
9
2007
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
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
Quantum harmonic analysis. An introduction. Zbl 1476.81001
de Gosson, Maurice A.
7
2021
Phase-space Weyl calculus and global hypoellipticity of a class of degenerate elliptic partial differential operators. Zbl 1210.47070
de Gosson, Maurice
7
2007
Extended Weyl calculus and application to the phase-space Schrödinger equation. Zbl 1072.81041
de Gosson, Maurice A.
7
2005
From Weyl to Born-Jordan quantization: the Schrödinger representation revisited. Zbl 1357.81126
de Gosson, Maurice A.
7
2016
Born-Jordan pseudodifferential operators with symbols in the Shubin classes. Zbl 1387.35640
Cordero, Elena; de Gosson, Maurice; Nicola, Fabio
7
2017
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
Quantum polar duality and the symplectic camel: a new geometric approach to quantization. Zbl 1479.81037
de Gosson, Maurice A.
6
2021
Maximal covariance group of Wigner transforms and pseudo-differential operators. Zbl 1304.35795
Dias, Nuno Costa; De Gosson, Maurice A.; Prata, João Nuno
6
2014
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 representation, Conley-Zehnder index, and Weyl calculus on phase space. Zbl 1156.81028
de Gosson, Maurice
5
2007
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
5
2019
On the symplectic covariance and interferences of time-frequency distributions. Zbl 1388.42017
Cordero, Elena; de Gosson, Maurice; Dörfler, Monika; Nicola, Fabio
5
2018
On the positivity of trace class operators. Zbl 07432489
Cordero, Elena; de Gosson, Maurice; Nicola, Fabio
5
2020
Paths of canonical transformations and their quantization. Zbl 1323.81048
de Gosson, Maurice A.
5
2015
Born-Jordan pseudodifferential calculus, Bopp operators and deformation quantization. Zbl 1394.47050
de Gosson, Maurice A.; Luef, Franz
5
2016
Two geometric interpretations of the multidimensional Hardy uncertainty principle. Zbl 1353.53086
de Gosson, Maurice A.
5
2017
Metaplectic formulation of the Wigner transform and applications. Zbl 1282.35429
Dias, Nuno Costa; De Gosson, Maurice A.; Prata, João Nuno
5
2013
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 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
On the usefulness of modulation spaces in deformation quantization. Zbl 1177.81074
de Gosson, Maurice; Luef, Franz
4
2009
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
Some \(p\)-adic differential equations. Zbl 1006.12006
de Gosson, Maurice; Dragovich, Branko; Khrennikov, Andrei
4
2001
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
Quantum indeterminacy and polar duality. Zbl 1332.81111
de Gosson, Maurice A.
4
2015
Fermi’s ansatz and Bohm’s quantum potential. Zbl 1303.81012
Dennis, Glen; de Gosson, Maurice A.; Hiley, Basil J.
4
2014
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.
4
2017
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
Symplectic coarse-grained dynamics: chalkboard motion in classical and quantum mechanics. Zbl 07435489
de Gosson, Maurice A.
3
2020
Lagrangian path intersections and the Leray index. Zbl 0985.53038
de Gosson, Maurice
3
2000
Mixed quantum states with variable Planck constant. Zbl 1375.83075
de Gosson, Maurice A.
3
2017
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
Polar duality between pairs of transversal Lagrangian planes; applications to uncertainty principles. Zbl 1495.52004
de Gosson, Maurice A.
3
2022
Uncertainty principle, phase space ellipsoids and Weyl calculus. Zbl 1096.81010
de Gosson, Maurice
3
2006
Abelian gerbes as a gauge theory of quantum mechanics on phase space. Zbl 1119.81069
Isidro, José M.; de Gosson, Maurice A.
2
2007
On density operators with Gaussian Weyl symbols. Zbl 07218925
de Gosson, Maurice A.
2
2020
Generalized Born-Jordan distributions and applications. Zbl 1442.42029
Cordero, Elena; de Gosson, Maurice; Dörfler, Monika; Nicola, Fabio
2
2020
Résultats microlocaux en hypoellipticite partielle à la frontière pour les opérateurs pseudo-différentiels de transmission. Zbl 0469.35080
de Gosson, Maurice
2
1980
Demazure-Kashiwara cocycles and metaplectic geometry. (Cocycles de Demazure-Kashiwara et géométrie métaplectique.) Zbl 0776.53022
de Gosson, Maurice A.
2
1992
On the Leray-Maslov quantization of Lagrangian submanifolds. Zbl 0795.58022
de Gosson, Maurice A.
2
1994
On the notion of phase in mechanics. Zbl 1088.81069
de Gosson, Maurice A.
2
2004
On half-form quantization of Lagrangian manifolds and quantum mechanics in phase space. Zbl 0878.58023
de Gosson, Maurice
2
1997
Generalized anti-Wick quantum states. Zbl 1484.81012
de Gosson, Maurice
2
2020
Short-time quantum propagator and Bohmian trajectories. Zbl 1295.81082
de Gosson, Maurice; Hiley, Basil
2
2013
The angular momentum dilemma and Born-Jordan quantization. Zbl 1368.81108
de Gosson, Maurice A.
2
2017
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
Born-Jordan quantization and the uncertainty principle. Zbl 1276.81079
De Gosson, Maurice A.
2
2013
A transformation property of the Wigner distribution under Hamiltonian symplectomorphisms. Zbl 1278.46038
De Gosson, Maurice
2
2011
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
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
1
2020
A gauge theory of quantum mechanics. Zbl 1117.81088
Isidro, José M.; de Gosson, Maurice A.
1
2007
Symplectic coarse-grained classical and semclassical evolution of subsystems: new theoretical approach. Zbl 1454.81088
de Gosson, Maurice A.
1
2020
Paramètrix de transmission pour des opérateurs de type parabolique et application au problème de Cauchy microlocal. Zbl 0484.35046
de Gosson, Maurice
1
1981
Microlocal regularity at the boundary for pseudo-differential operators with the transmission property. I. Zbl 0488.35080
de Gosson, Maurice
1
1982
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
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.
1
2020
On the purity and entropy of mixed Gaussian states. Zbl 07096642
de Gosson, Maurice
1
2019
The cohomological meaning of Maslov’s Langrangian path intersection index. Zbl 1027.53099
De Gosson, M.; De Gosson, S.
1
2003
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
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
1
2022
Quantum harmonic analysis. An introduction. Zbl 1476.81001
de Gosson, Maurice A.
7
2021
Quantum polar duality and the symplectic camel: a new geometric approach to quantization. Zbl 1479.81037
de Gosson, Maurice A.
6
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
On density operators with Gaussian Weyl symbols. Zbl 07218925
de Gosson, Maurice A.
2
2020
Generalized Born-Jordan distributions and applications. Zbl 1442.42029
Cordero, Elena; de Gosson, Maurice; Dörfler, Monika; Nicola, Fabio
2
2020
Generalized anti-Wick quantum states. Zbl 1484.81012
de Gosson, Maurice
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
1
2020
Symplectic coarse-grained classical and semclassical evolution of subsystems: new theoretical approach. Zbl 1454.81088
de Gosson, Maurice A.
1
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.
1
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
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
5
2019
On the purity and entropy of mixed Gaussian states. Zbl 07096642
de Gosson, Maurice
1
2019
Quantum trajectories: Dirac, Moyal and Bohm. Zbl 1484.81014
Hiley, Basil J.; de Gosson, Maurice A.; Dennis, Glen
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
5
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
37
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.
4
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.
32
2015
Hamiltonian deformations of Gabor frames: first steps. Zbl 1306.81042
de Gosson, Maurice A.
17
2015
Bohm’s quantum potential as an internal energy. Zbl 1342.81165
Dennis, Glen; de Gosson, Maurice A.; Hiley, Basil J.
10
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
16
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
6
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
Short-time quantum propagator and Bohmian trajectories. Zbl 1295.81082
de Gosson, Maurice; Hiley, Basil
2
2013
Born-Jordan quantization and the uncertainty principle. Zbl 1276.81079
De Gosson, Maurice A.
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.
138
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.
14
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
10
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.
23
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.
21
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
160
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
Uncertainty principle, phase space ellipsoids and Weyl calculus. Zbl 1096.81010
de Gosson, Maurice
3
2006
Symplectically covariant Schrödinger equation in phase space. Zbl 1081.81072
de Gosson, Maurice A.
20
2005
On the Weyl representation of metaplectic operators. Zbl 1115.81048
de Gosson, Maurice A.
15
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
The principles of Newtonian and quantum mechanics. The need for Planck’s constant, \(h\). Zbl 0991.70001
de Gosson, Maurice A.
22
2001
The symplectic camel and phase space quantization. Zbl 1008.53074
de Gosson, Maurice
11
2001
Some \(p\)-adic differential equations. Zbl 1006.12006
de Gosson, Maurice; Dragovich, Branko; Khrennikov, Andrei
4
2001
Lagrangian path intersections and the Leray index. Zbl 0985.53038
de Gosson, Maurice
3
2000
On the classical and quantum evolution of Lagrangian half-forms in phase space. Zbl 1049.53055
De Gosson, Maurice
1
1999
...and 12 more Documents
all top 5

Cited by 544 Authors

83 de Gosson, Maurice Alexis
32 Cordero, Elena
27 Nicola, Fabio
16 Dias, Nuno Costa
16 Luef, Franz
16 Prata, João Nuno
14 Trapasso, Salvatore Ivan
9 Faulhuber, Markus
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 Giacchi, Gianluca
6 Petersen, Ian Richard
5 Jain, Tanvi
5 Teofanov, Nenad
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 Gazeau, Jean-Pierre
4 Ghanmi, Allal
4 Isidro San Juan, José-Maria
4 Kalogeropoulos, Nikolaos
4 Keller, Johannes
4 Kisil, Vladimir V.
4 Maslov, Viktor Pavlovich
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 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 Mishra, Hemant Kumar
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 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
2 Costa, Caroline
2 Deepshikha
...and 444 more Authors
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Cited in 168 Serials

36 Journal of Mathematical Physics
25 The Journal of Fourier Analysis and Applications
20 Journal of Physics A: Mathematical and Theoretical
18 Journal of Pseudo-Differential Operators and Applications
16 Physics Letters. A
15 Journal of Mathematical Analysis and Applications
14 Applied and Computational Harmonic Analysis
13 Annals of Physics
13 Foundations of Physics
12 Journal of Geometry and Physics
12 Journal of Functional Analysis
8 Letters in Mathematical Physics
7 Advances in Mathematics
7 Linear Algebra and its Applications
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Communications in Mathematical Physics
5 Reviews in Mathematical Physics
5 SIAM Journal on Mathematical Analysis
5 Bulletin des Sciences Mathématiques
5 Comptes Rendus. Mathématique. 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
4 Physica A
4 Reports on Mathematical Physics
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 Transactions of the American Mathematical Society
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. Series A: Theory and Methods
2 Proceedings of the American Mathematical Society
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 SIAM Journal on Control and Optimization
2 Physica D
2 Constructive Approximation
2 SIAM Journal on Matrix Analysis and Applications
2 The Journal of Geometric Analysis
2 Communications in Partial Differential Equations
2 Expositiones Mathematicae
2 Calculus of Variations and Partial Differential Equations
2 Journal of Mathematical Sciences (New York)
2 ELA. 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 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 \(p\)-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 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
1 Journal of Differential Equations
1 Journal of the Mathematical Society of Japan
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
...and 68 more Serials
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Cited in 58 Fields

242 Quantum theory (81-XX)
124 Harmonic analysis on Euclidean spaces (42-XX)
102 Partial differential equations (35-XX)
98 Differential geometry (53-XX)
91 Operator theory (47-XX)
59 Functional analysis (46-XX)
38 Information and communication theory, circuits (94-XX)
33 Linear and multilinear algebra; matrix theory (15-XX)
33 Topological groups, Lie groups (22-XX)
31 Dynamical systems and ergodic theory (37-XX)
29 Mechanics of particles and systems (70-XX)
25 Functions of a complex variable (30-XX)
22 Statistical mechanics, structure of matter (82-XX)
19 Abstract harmonic analysis (43-XX)
19 Integral transforms, operational calculus (44-XX)
19 Global analysis, analysis on manifolds (58-XX)
15 Special functions (33-XX)
15 Ordinary differential equations (34-XX)
14 Numerical analysis (65-XX)
13 Relativity and gravitational theory (83-XX)
12 Real functions (26-XX)
11 Number theory (11-XX)
11 Several complex variables and analytic spaces (32-XX)
9 Algebraic geometry (14-XX)
9 Probability theory and stochastic processes (60-XX)
9 Statistics (62-XX)
7 Nonassociative rings and algebras (17-XX)
7 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 Sequences, series, summability (40-XX)
3 Potential theory (31-XX)
3 Convex and discrete geometry (52-XX)
3 Manifolds and cell complexes (57-XX)
2 History and biography (01-XX)
2 Combinatorics (05-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 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)
1 Mathematics education (97-XX)

Citations by Year

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