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de Gosson, Maurice Alexis

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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 · IdRef
Documents Indexed: 126 Publications since 1980, including 9 Books
2 Contributions as Editor
Reviewing Activity: 8 Reviews
Co-Authors: 31 Co-Authors with 57 Joint Publications
632 Co-Co-Authors
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Serials

8 Physics Letters. A
7 Journal of Physics A: Mathematical and General
7 Foundations of Physics
7 Journal of Physics A: Mathematical and Theoretical
5 Letters in Mathematical Physics
5 Comptes Rendus de l’Académie des Sciences. Série I
4 Journal of Mathematical Physics
4 Reviews in Mathematical Physics
4 Journal of Geometry and Physics
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 Journal of Functional Analysis
3 Annals of Physics
3 Quanta
2 Annales de l’Institut Fourier
2 The Journal of Fourier Analysis and Applications
2 Mathematical Physics, Analysis and Geometry
2 Advances in Theoretical and Mathematical Physics
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 Annales Henri Poincaré
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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

Publications by Year

Citations contained in zbMATH Open

100 Publications have been cited 786 times in 358 Documents Cited by Year
Symplectic methods in harmonic analysis and in mathematical physics. Zbl 1247.81510
de Gosson, Maurice A.
98
2011
Symplectic geometry and quantum mechanics. Zbl 1098.81004
de Gosson, Maurice
98
2006
Discrete coherent states for higher Landau levels. Zbl 1360.81204
Abreu, L. D.; Balazs, P.; de Gosson, M.; Mouayn, Z.
28
2015
The Wigner transform. Zbl 1372.81009
de Gosson, Maurice
25
2017
Symplectic covariance properties for Shubin and Born-Jordan pseudo-differential operators. Zbl 1278.47050
De Gosson, Maurice A.
20
2013
The symplectic camel and the uncertainty principle: the tip of an iceberg? Zbl 1165.81030
de Gosson, Maurice A.
18
2009
The principles of Newtonian and quantum mechanics. The need for Planck’s constant, \(h\). Zbl 0991.70001
de Gosson, Maurice A.
17
2001
Preferred quantization rules: Born-Jordan versus Weyl. The pseudo-differential point of view. Zbl 1278.81121
De Gosson, Maurice; Luef, Franz
17
2011
On the invertibility of Born-Jordan quantization. Zbl 1338.47057
Cordero, Elena; de Gosson, Maurice; Nicola, Fabio
16
2016
Maslov indices on the metaplectic group \(Mp(n)\). Zbl 0705.22013
de Gosson, Maurice
15
1990
Born-Jordan quantization. Theory and applications. Zbl 1338.81014
de Gosson, Maurice A.
15
2016
Hamiltonian deformations of Gabor frames: first steps. Zbl 1306.81042
de Gosson, Maurice A.
15
2015
Maslov classes, metaplectic representation and Lagrangian quantization. Zbl 0872.58031
de Gosson, Maurice
14
1997
Spectral properties of a class of generalized Landau operators. Zbl 1159.35077
de Gosson, Maurice A.
14
2008
Quantum blobs. Zbl 1269.81073
de Gosson, Maurice A.
13
2013
Time-frequency analysis of Born-Jordan pseudodifferential operators. Zbl 1356.47055
Cordero, Elena; de Gosson, Maurice; Nicola, Fabio
13
2017
Quantum states and Hardy’s formulation of the uncertainty principle: a symplectic approach. Zbl 1113.81090
de Gosson, Maurice; Luef, Franz
13
2007
On the Weyl representation of metaplectic operators. Zbl 1115.81048
de Gosson, Maurice A.
13
2005
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
12
1990
Symplectically covariant Schrödinger equation in phase space. Zbl 1081.81072
de Gosson, Maurice A.
12
2005
Imprints of the quantum world in classical mechanics. Zbl 1235.81094
de Gosson, Maurice A.; Hiley, Basil J.
11
2011
The structure of \(q\)-symplectic geometry. Zbl 0829.58015
de Gosson, M.
10
1992
Spectral and regularity properties of a pseudo-differential calculus related to Landau quantization. Zbl 1200.81061
De Gosson, Maurice; Luef, Franz
10
2010
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
10
2011
Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms. Zbl 1322.43003
de Gosson, Maurice A.; Luef, Franz
10
2014
A new approach to the \(*\)-genvalue equation. Zbl 1165.53059
Gosson, Maurice De; Luef, Franz
10
2008
Phase space quantization and the uncertainty principle. Zbl 1058.81045
de Gosson, Maurice A.
9
2003
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.
9
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
9
2008
On the reduction of the interferences in the Born-Jordan distribution. Zbl 1381.42017
Cordero, Elena; de Gosson, Maurice; Nicola, Fabio
9
2018
Born-Jordan quantization and the equivalence of the Schrödinger and Heisenberg pictures. Zbl 1302.81115
De Gosson, Maurice A.
8
2014
Stability of Gabor frames under small time Hamiltonian evolutions. Zbl 1382.35247
de Gosson, Maurice A.; Gröchenig, Karlheinz; Romero, José Luis
8
2016
Born-Jordan pseudodifferential operators with symbols in the Shubin classes. Zbl 1387.35640
Cordero, Elena; de Gosson, Maurice; Nicola, Fabio
7
2017
On the usefulness of an index due to Leray for studying the intersections of Lagrangian and symplectic paths. Zbl 1179.53080
De Gosson, Maurice
7
2009
Remarks on the fact that the uncertainty principle does not determine the quantum state. Zbl 1203.81012
De Gosson, Maurice; Luef, Franz
7
2007
The ”symplectic camel principle” and semiclassical mechanics. Zbl 1039.53103
de Gosson, Maurice A.
7
2002
The symplectic camel and phase space quantization. Zbl 1008.53074
de Gosson, Maurice
7
2001
A deformation quantization theory for noncommutative quantum mechanics. Zbl 1311.81158
Dias, Nuno Costa; de Gosson, Maurice; Luef, Franz; Prata, João Nuno
7
2010
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
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
Phase-space Weyl calculus and global hypoellipticity of a class of degenerate elliptic partial differential operators. Zbl 1210.47070
de Gosson, Maurice
5
2007
Born-Jordan pseudodifferential calculus, Bopp operators and deformation quantization. Zbl 1394.47050
de Gosson, Maurice A.; Luef, Franz
4
2016
On the symplectic covariance and interferences of time-frequency distributions. Zbl 1388.42017
Cordero, Elena; de Gosson, Maurice; Dörfler, Monika; Nicola, Fabio
4
2018
Extended Weyl calculus and application to the phase-space Schrödinger equation. Zbl 1072.81041
de Gosson, Maurice A.
4
2005
On the usefulness of modulation spaces in deformation quantization. Zbl 1177.81074
de Gosson, Maurice; Luef, Franz
4
2009
Some \(p\)-adic differential equations. Zbl 1006.12006
de Gosson, Maurice; Dragovich, Branko; Khrennikov, Andrei
4
2001
Symplectic quantum cells and Husimi-Wigner functions. (Cellules quantiques symplectiques et fonctions de Husimi-Wigner.) Zbl 1074.81050
de Gosson, Maurice
4
2005
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
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
Paths of canonical transformations and their quantization. Zbl 1323.81048
de Gosson, Maurice A.
4
2015
Quantum harmonic analysis of the density matrix. Zbl 1446.81006
de Gosson, Maurice A.
4
2018
Mixed quantum states with variable Planck constant. Zbl 1375.83075
de Gosson, Maurice A.
3
2017
Bohm’s quantum potential as an internal energy. Zbl 1342.81165
Dennis, Glen; de Gosson, Maurice A.; Hiley, Basil J.
3
2015
Lagrangian path intersections and the Leray index. Zbl 0985.53038
de Gosson, Maurice
3
2000
The quantum motion of half-densities and the derivation of Schrödinger’s equation. Zbl 0961.81010
de Gosson, Maurice
3
1998
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
3
2012
The optimal pure Gaussian state canonically associated to a Gaussian quantum state. Zbl 1209.81026
de Gosson, Maurice
3
2004
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
3
1990
Fermi’s ansatz and Bohm’s quantum potential. Zbl 1303.81012
Dennis, Glen; de Gosson, Maurice A.; Hiley, Basil J.
3
2014
From Weyl to Born-Jordan quantization: the Schrödinger representation revisited. Zbl 1357.81126
de Gosson, Maurice A.
3
2016
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
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 the Leray-Maslov quantization of Lagrangian submanifolds. Zbl 0795.58022
de Gosson, Maurice A.
2
1994
Demazure-Kashiwara cocycles and metaplectic geometry. (Cocycles de Demazure-Kashiwara et géométrie métaplectique.) Zbl 0776.53022
de Gosson, Maurice A.
2
1992
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
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
2
2019
Uncertainty principle, phase space ellipsoids and Weyl calculus. Zbl 1096.81010
de Gosson, Maurice
2
2006
Quantum indeterminacy and polar duality. Zbl 1332.81111
de Gosson, Maurice A.
2
2015
On half-form quantization of Lagrangian manifolds and quantum mechanics in phase space. Zbl 0878.58023
de Gosson, Maurice
2
1997
Two geometric interpretations of the multidimensional Hardy uncertainty principle. Zbl 1353.53086
de Gosson, Maurice A.
2
2017
Quantum polar duality and the symplectic camel: a new geometric approach to quantization. Zbl 1479.81037
de Gosson, Maurice A.
2
2021
Schrödinger equation in phase space, irreducible representations of the Heisenberg group, and deformation quantization. Zbl 1391.81110
de Gosson, Maurice A.
1
2005
A characterization of modulation spaces by symplectic rotations. Zbl 1434.42035
Cordero, Elena; de Gosson, Maurice; Nicola, Fabio
1
2020
Symplectic coarse-grained classical and semclassical evolution of subsystems: new theoretical approach. Zbl 1454.81088
de Gosson, Maurice A.
1
2020
Generalized Born-Jordan distributions and applications. Zbl 1442.42029
Cordero, Elena; de Gosson, Maurice; Dörfler, Monika; Nicola, Fabio
1
2020
On density operators with Gaussian Weyl symbols. Zbl 07218925
de Gosson, Maurice A.
1
2020
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 classical and quantum evolution of Lagrangian half-forms in phase space. Zbl 1049.53055
De Gosson, Maurice
1
1999
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
Résultats microlocaux en hypoellipticite partielle à la frontière pour les opérateurs pseudo-différentiels de transmission. Zbl 0469.35080
de Gosson, Maurice
1
1980
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
On the notion of phase in mechanics. Zbl 1088.81069
de Gosson, Maurice A.
1
2004
Short-time quantum propagator and Bohmian trajectories. Zbl 1295.81082
de Gosson, Maurice; Hiley, Basil
1
2013
The reconstruction problem and weak quantum values. Zbl 1245.81067
De Gosson, Maurice A.; De Gosson, Serge M.
1
2012
Clifford algebras in symplectic geometry and quantum mechanics. Zbl 1276.81065
Binz, Ernst; de Gosson, Maurice A.; Hiley, Basil J.
1
2013
A pseudodifferential calculus on non-standard symplectic space. Zbl 1228.35280
de Gosson, Maurice A.
1
2011
Metaplectic formulation of the Wigner transform and applications. Zbl 1282.35429
Dias, Nuno Costa; De Gosson, Maurice A.; Prata, João Nuno
1
2013
On the positivity of trace class operators. Zbl 07432489
Cordero, Elena; de Gosson, Maurice; Nicola, Fabio
1
2020
Symplectic coarse-grained dynamics: chalkboard motion in classical and quantum mechanics. Zbl 07435489
de Gosson, Maurice A.
1
2020
The phase space formulation of time-symmetric quantum mechanics. Zbl 1351.81067
de Gosson, Charlyne; de Gosson, Maurice A.
1
2015
On the prolate spheroidal wave functions and Hardy’s uncertainty principle. Zbl 1361.42010
Pauwels, Elmar; de Gosson, Maurice
1
2014
Abelian gerbes as a gauge theory of quantum mechanics on phase space. Zbl 1119.81069
Isidro, José M.; de Gosson, Maurice A.
1
2007
The angular momentum dilemma and Born-Jordan quantization. Zbl 1368.81108
de Gosson, Maurice A.
1
2017
Quantum polar duality and the symplectic camel: a new geometric approach to quantization. Zbl 1479.81037
de Gosson, Maurice A.
2
2021
A characterization of modulation spaces by symplectic rotations. Zbl 1434.42035
Cordero, Elena; de Gosson, Maurice; Nicola, Fabio
1
2020
Symplectic coarse-grained classical and semclassical evolution of subsystems: new theoretical approach. Zbl 1454.81088
de Gosson, Maurice A.
1
2020
Generalized Born-Jordan distributions and applications. Zbl 1442.42029
Cordero, Elena; de Gosson, Maurice; Dörfler, Monika; Nicola, Fabio
1
2020
On density operators with Gaussian Weyl symbols. Zbl 07218925
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
On the positivity of trace class operators. Zbl 07432489
Cordero, Elena; de Gosson, Maurice; Nicola, Fabio
1
2020
Symplectic coarse-grained dynamics: chalkboard motion in classical and quantum mechanics. Zbl 07435489
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
2
2019
On the purity and entropy of mixed Gaussian states. Zbl 07096642
de Gosson, Maurice
1
2019
On the reduction of the interferences in the Born-Jordan distribution. Zbl 1381.42017
Cordero, Elena; de Gosson, Maurice; Nicola, Fabio
9
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
Quantum harmonic analysis of the density matrix. Zbl 1446.81006
de Gosson, Maurice A.
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
25
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
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
Two geometric interpretations of the multidimensional Hardy uncertainty principle. Zbl 1353.53086
de Gosson, Maurice A.
2
2017
The angular momentum dilemma and Born-Jordan quantization. Zbl 1368.81108
de Gosson, Maurice A.
1
2017
On the invertibility of Born-Jordan quantization. Zbl 1338.47057
Cordero, Elena; de Gosson, Maurice; Nicola, Fabio
16
2016
Born-Jordan quantization. Theory and applications. Zbl 1338.81014
de Gosson, Maurice A.
15
2016
Stability of Gabor frames under small time Hamiltonian evolutions. Zbl 1382.35247
de Gosson, Maurice A.; Gröchenig, Karlheinz; Romero, José Luis
8
2016
Born-Jordan pseudodifferential calculus, Bopp operators and deformation quantization. Zbl 1394.47050
de Gosson, Maurice A.; Luef, Franz
4
2016
From Weyl to Born-Jordan quantization: the Schrödinger representation revisited. Zbl 1357.81126
de Gosson, Maurice A.
3
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.
28
2015
Hamiltonian deformations of Gabor frames: first steps. Zbl 1306.81042
de Gosson, Maurice A.
15
2015
Paths of canonical transformations and their quantization. Zbl 1323.81048
de Gosson, Maurice A.
4
2015
Bohm’s quantum potential as an internal energy. Zbl 1342.81165
Dennis, Glen; de Gosson, Maurice A.; Hiley, Basil J.
3
2015
Quantum indeterminacy and polar duality. Zbl 1332.81111
de Gosson, Maurice A.
2
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
10
2014
Born-Jordan quantization and the equivalence of the Schrödinger and Heisenberg pictures. Zbl 1302.81115
De Gosson, Maurice A.
8
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.
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.
20
2013
Quantum blobs. Zbl 1269.81073
de Gosson, Maurice A.
13
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
1
2013
Clifford algebras in symplectic geometry and quantum mechanics. Zbl 1276.81065
Binz, Ernst; de Gosson, Maurice A.; Hiley, Basil J.
1
2013
Metaplectic formulation of the Wigner transform and applications. Zbl 1282.35429
Dias, Nuno Costa; De Gosson, Maurice A.; Prata, João Nuno
1
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
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
3
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.
98
2011
Preferred quantization rules: Born-Jordan versus Weyl. The pseudo-differential point of view. Zbl 1278.81121
De Gosson, Maurice; Luef, Franz
17
2011
Imprints of the quantum world in classical mechanics. Zbl 1235.81094
de Gosson, Maurice A.; Hiley, Basil J.
11
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
10
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
7
2010
The symplectic camel and the uncertainty principle: the tip of an iceberg? Zbl 1165.81030
de Gosson, Maurice A.
18
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
7
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.
14
2008
A new approach to the \(*\)-genvalue equation. Zbl 1165.53059
Gosson, Maurice De; Luef, Franz
10
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.
9
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
9
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
13
2007
Remarks on the fact that the uncertainty principle does not determine the quantum state. Zbl 1203.81012
De Gosson, Maurice; Luef, Franz
7
2007
Metaplectic representation, Conley-Zehnder index, and Weyl calculus on phase space. Zbl 1156.81028
de Gosson, Maurice
5
2007
Phase-space Weyl calculus and global hypoellipticity of a class of degenerate elliptic partial differential operators. Zbl 1210.47070
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.
1
2007
Symplectic geometry and quantum mechanics. Zbl 1098.81004
de Gosson, Maurice
98
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
2
2006
On the Weyl representation of metaplectic operators. Zbl 1115.81048
de Gosson, Maurice A.
13
2005
Symplectically covariant Schrödinger equation in phase space. Zbl 1081.81072
de Gosson, Maurice A.
12
2005
Extended Weyl calculus and application to the phase-space Schrödinger equation. Zbl 1072.81041
de Gosson, Maurice A.
4
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
3
2004
On the notion of phase in mechanics. Zbl 1088.81069
de Gosson, Maurice A.
1
2004
Phase space quantization and the uncertainty principle. Zbl 1058.81045
de Gosson, Maurice A.
9
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.
7
2002
The principles of Newtonian and quantum mechanics. The need for Planck’s constant, \(h\). Zbl 0991.70001
de Gosson, Maurice A.
17
2001
The symplectic camel and phase space quantization. Zbl 1008.53074
de Gosson, Maurice
7
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
The quantum motion of half-densities and the derivation of Schrödinger’s equation. Zbl 0961.81010
de Gosson, Maurice
3
1998
Maslov classes, metaplectic representation and Lagrangian quantization. Zbl 0872.58031
de Gosson, Maurice
14
1997
On half-form quantization of Lagrangian manifolds and quantum mechanics in phase space. Zbl 0878.58023
de Gosson, Maurice
2
1997
On the Leray-Maslov quantization of Lagrangian submanifolds. Zbl 0795.58022
de Gosson, Maurice A.
2
1994
The structure of \(q\)-symplectic geometry. Zbl 0829.58015
de Gosson, M.
10
1992
Demazure-Kashiwara cocycles and metaplectic geometry. (Cocycles de Demazure-Kashiwara et géométrie métaplectique.) Zbl 0776.53022
de Gosson, Maurice A.
2
1992
Maslov indices on the metaplectic group \(Mp(n)\). Zbl 0705.22013
de Gosson, Maurice
15
1990
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
12
1990
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
3
1990
Microlocal regularity at the boundary for pseudo-differential operators with the transmission property. I. Zbl 0488.35080
de Gosson, Maurice
1
1982
Paramètrix de transmission pour des opérateurs de type parabolique et application au problème de Cauchy microlocal. Zbl 0484.35046
de Gosson, Maurice
1
1981
Résultats microlocaux en hypoellipticite partielle à la frontière pour les opérateurs pseudo-différentiels de transmission. Zbl 0469.35080
de Gosson, Maurice
1
1980
all top 5

Cited by 391 Authors

69 de Gosson, Maurice Alexis
23 Cordero, Elena
23 Nicola, Fabio
15 Luef, Franz
12 Dias, Nuno Costa
12 Prata, João Nuno
11 Trapasso, Salvatore Ivan
8 Gröchenig, Karlheinz
8 Hiley, Basil J.
7 Faulhuber, Markus
7 Mouayn, Zouhaïr
7 Romero, José Luis
7 Skrettingland, Eirik
5 Abreu, Luís Daniel
5 Amorim, Ronni G. G.
5 Jain, Tanvi
5 Petersen, Ian Richard
5 Toft, Joachim
5 Tronci, Cesare
4 Bhatia, Rajendra
4 Boggiatto, Paolo
4 Dennis, Glen
4 Dragovich, Branko
4 Isidro San Juan, José-Maria
4 Keller, Johannes
4 Maslov, Viktor Pavlovich
4 Ohsawa, Tomoki
4 Ruzhansky, Michael V.
4 Tokmagambetov, Niyaz Esenzholovich
4 Vashisht, Lalit Kumar
4 Vladimirov, Igor G.
4 Wong, Man Wah
3 Abreu-Blaya, Ricardo
3 Bory Reyes, Juan
3 Carypis, Evanthia
3 de Gosson, Serge M.
3 De la Cruz-Toranzo, Lianet
3 D’Elia, Lorenza
3 Dörfler, Monika
3 El Moize, Othmane
3 Furutani, Kenro
3 Gay-Balmaz, François
3 Gazeau, Jean-Pierre
3 Ghanmi, Allal
3 Kalogeropoulos, Nikolaos
3 Kisil, Vladimir V.
3 Latushkin, Yuri
3 Molahajloo, Shahla
3 Oliaro, Alessandro
3 Rodino, Luigi
3 Santana, Ademir E.
3 Solov’ev, Mikhaĭl Aleksandrovich
3 Speckbacher, Michael
3 Zhu, Chaofeng
2 Absil, Pierre-Antoine
2 Afkham, Babak Maboudi
2 Bastianoni, Federico
2 Beck, Margaret
2 Benahmadi, Abdelhadi
2 Booss-Bavnbek, Bernhelm
2 Braunss, Günter
2 Cappiello, Marco
2 Cauli, Alessandra
2 Clerc, Jean-Louis
2 Cohen, Leon W.
2 Costa, Caroline
2 Deepshikha
2 Domański, Ziemowit
2 Esmeral, Kevin
2 Farashahi, Arash Ghaani
2 Fernandes, Marco C. B.
2 Fernández de Córdoba, Pedro
2 Fiori, Simone
2 Galapon, Eric A.
2 Gao, Bin
2 Hesthaven, Jan S.
2 Howard, Peter
2 Hussin, Véronique
2 Jakobsen, Mads Sielemann
2 James, Matthew R.
2 Jaming, Philippe
2 Kassogué, Hamidou
2 Khanna, Faqir C.
2 Khrennikov, Andreĭ Yur’evich
2 Kikodio, Patrick Kayupe
2 König, Robert
2 Lasser, Caroline
2 Lone, Waseem Z.
2 Malhotra, Hari Krishan
2 Mishra, Hemant Kumar
2 Mišić, Nataša Ž.
2 Nicacio, Fernando
2 Nunes, João Pedro Vidal
2 Ortega-Cerdà, Joaquim
2 Paiva, R. A. S.
2 Pessoa, Luís V.
2 Piccione, Paolo
2 Polterovich, Leonid Viktorovich
2 Rottensteiner, David
2 Santander, J. L. G.
...and 291 more Authors
all top 5

Cited in 132 Serials

31 Journal of Mathematical Physics
23 The Journal of Fourier Analysis and Applications
13 Journal of Mathematical Analysis and Applications
13 Journal of Pseudo-Differential Operators and Applications
11 Foundations of Physics
10 Physics Letters. A
10 Journal of Geometry and Physics
10 Applied and Computational Harmonic Analysis
8 Letters in Mathematical Physics
8 Journal of Functional Analysis
6 Advances in Mathematics
6 Linear Algebra and its Applications
5 Annals of Physics
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 International Journal of Wavelets, Multiresolution and Information Processing
5 Journal of Physics A: Mathematical and Theoretical
4 Reports on Mathematical Physics
4 Reviews in Mathematical Physics
4 SIAM Journal on Mathematical Analysis
4 Russian Journal of Mathematical Physics
4 Advances in Applied Clifford Algebras
4 Bulletin des Sciences Mathématiques
3 Communications in Mathematical Physics
3 Physica A
3 Integral Equations and Operator Theory
3 Results in Mathematics
3 Annals of Global Analysis and Geometry
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Analysis and Applications (Singapore)
3 International Journal of Geometric Methods in Modern Physics
3 Advances in High Energy Physics
3 Quanta
2 Journal of Statistical Physics
2 Mathematical Notes
2 Annales de l’Institut Fourier
2 Mathematische Annalen
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 Transactions of the American Mathematical Society
2 Physica D
2 Constructive Approximation
2 SIAM Journal on Matrix Analysis and Applications
2 Expositiones Mathematicae
2 Calculus of Variations and Partial Differential Equations
2 Journal of Mathematical Sciences (New York)
2 Journal of Mathematical Chemistry
2 Mathematical Physics, Analysis and Geometry
2 Journal of High Energy Physics
2 Mediterranean Journal of Mathematics
2 Proceedings of the Steklov Institute of Mathematics
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Analysis and Mathematical Physics
1 Modern Physics Letters A
1 International Journal of Modern Physics A
1 Analysis Mathematica
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Classical and Quantum Gravity
1 General Relativity and Gravitation
1 International Journal of Theoretical Physics
1 Journal d’Analyse Mathématique
1 Linear and Multilinear Algebra
1 Nonlinearity
1 Physics Reports
1 Studia Mathematica
1 Theoretical and Mathematical Physics
1 Chaos, Solitons and Fractals
1 Fortschritte der Physik
1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Automatica
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Differential Equations
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Acta Applicandae Mathematicae
1 Revista Matemática Iberoamericana
1 MCSS. Mathematics of Control, Signals, and Systems
1 Journal of Scientific Computing
1 International Journal of Mathematics
1 The Journal of Geometric Analysis
1 Geometric and Functional Analysis. GAFA
1 Communications in Partial Differential Equations
1 Bulletin of the American Mathematical Society. New Series
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 SIAM Journal on Optimization
1 SIAM Journal on Scientific Computing
1 Filomat
1 Journal of Inverse and Ill-Posed Problems
...and 32 more Serials
all top 5

Cited in 55 Fields

170 Quantum theory (81-XX)
83 Harmonic analysis on Euclidean spaces (42-XX)
73 Partial differential equations (35-XX)
73 Differential geometry (53-XX)
64 Operator theory (47-XX)
40 Functional analysis (46-XX)
27 Information and communication theory, circuits (94-XX)
24 Linear and multilinear algebra; matrix theory (15-XX)
23 Topological groups, Lie groups (22-XX)
21 Mechanics of particles and systems (70-XX)
18 Dynamical systems and ergodic theory (37-XX)
17 Statistical mechanics, structure of matter (82-XX)
15 Functions of a complex variable (30-XX)
14 Abstract harmonic analysis (43-XX)
14 Global analysis, analysis on manifolds (58-XX)
13 Special functions (33-XX)
10 Numerical analysis (65-XX)
9 Ordinary differential equations (34-XX)
9 Integral transforms, operational calculus (44-XX)
9 Relativity and gravitational theory (83-XX)
8 Number theory (11-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Probability theory and stochastic processes (60-XX)
7 Algebraic geometry (14-XX)
7 Real functions (26-XX)
6 Statistics (62-XX)
5 Nonassociative rings and algebras (17-XX)
5 Group theory and generalizations (20-XX)
5 Approximations and expansions (41-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Geometry (51-XX)
5 Systems theory; control (93-XX)
4 Sequences, series, summability (40-XX)
4 Fluid mechanics (76-XX)
4 Optics, electromagnetic theory (78-XX)
3 Potential theory (31-XX)
2 Associative rings and algebras (16-XX)
2 Measure and integration (28-XX)
2 Manifolds and cell complexes (57-XX)
2 Astronomy and astrophysics (85-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-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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