de Gosson, Maurice Emergence of the quantum from the classical. Mathematical aspects of quantum processes. (English) Zbl 1391.81003 Hackensack, NJ: World Scientific (ISBN 978-1-78634-414-4/hbk; 978-1-78634-416-8/ebook). xix, 285 p. (2018). Reviewer: Wolfgang G. Hollik (Hamburg) MSC: 81-01 81P05 37J05 70G45 53C23 70H05 81S10 81Q65 PDFBibTeX XMLCite \textit{M. de Gosson}, Emergence of the quantum from the classical. Mathematical aspects of quantum processes. Hackensack, NJ: World Scientific (2018; Zbl 1391.81003) Full Text: DOI
de Gosson, Maurice The Wigner transform. (English) Zbl 1372.81009 Advanced Textbooks in Mathematics. Hackensack, NJ: World Scientific (ISBN 978-1-78634-308-6/hbk; 978-1-78634-309-3/pbk). xx, 229 p. (2017). Reviewer: Dimitar A. Kolev (Sofia) MSC: 81-02 81S30 00A79 46L65 81S10 53D55 32W25 35S05 46F10 46N50 37N20 PDFBibTeX XMLCite \textit{M. de Gosson}, The Wigner transform. Hackensack, NJ: World Scientific (2017; Zbl 1372.81009) Full Text: DOI
de Gosson, Maurice; de Gosson, Serge; Piccione, Paolo On a product formula for the Conley-Zehnder index of symplectic paths and its applications. (English) Zbl 1145.37013 Ann. Global Anal. Geom. 34, No. 2, 167-183 (2008). MSC: 37B30 81S10 37J10 37J45 81S30 PDFBibTeX XMLCite \textit{M. de Gosson} et al., Ann. Global Anal. Geom. 34, No. 2, 167--183 (2008; Zbl 1145.37013) Full Text: DOI arXiv
de Gosson, Maurice; Luef, Franz Quantum states and Hardy’s formulation of the uncertainty principle: a symplectic approach. (English) Zbl 1113.81090 Lett. Math. Phys. 80, No. 1, 69-82 (2007). MSC: 81S30 81S10 37J05 81S05 PDFBibTeX XMLCite \textit{M. de Gosson} and \textit{F. Luef}, Lett. Math. Phys. 80, No. 1, 69--82 (2007; Zbl 1113.81090) Full Text: DOI arXiv
de Gosson, Maurice A.; de Gosson, Serge M. Extension of the Conley-Zehnder index, a product formula, and an application to the Weyl representation of metaplectic operators. (English) Zbl 1112.53065 J. Math. Phys. 47, No. 12, 123506, 15 p. (2006). MSC: 53D50 22E70 37J05 81Q20 81Q50 81S05 PDFBibTeX XMLCite \textit{M. A. de Gosson} and \textit{S. M. de Gosson}, J. Math. Phys. 47, No. 12, 123506, 15 p. (2006; Zbl 1112.53065) Full Text: DOI Link
de Gosson, Maurice A. The adiabatic limit for multidimensional Hamiltonian systems. (English) Zbl 1132.37318 J. Geom. Symmetry Phys. 4, 19-43 (2005). MSC: 37J99 70H11 70H12 37J45 PDFBibTeX XMLCite \textit{M. A. de Gosson}, J. Geom. Symmetry Phys. 4, 19--43 (2005; Zbl 1132.37318)
de Gosson, Maurice Symplectic quantum cells and Husimi-Wigner functions. (Cellules quantiques symplectiques et fonctions de Husimi-Wigner.) (French. English summary) Zbl 1074.81050 Bull. Sci. Math. 129, No. 3, 211-226 (2005). Reviewer: Marian Ioan Munteanu (Roma) MSC: 81S30 81S10 53D05 37J10 PDFBibTeX XMLCite \textit{M. de Gosson}, Bull. Sci. Math. 129, No. 3, 211--226 (2005; Zbl 1074.81050) Full Text: DOI
De Gosson, Maurice; De Gosson, Serge Extension of the Conley–Zehnder Index and Calculation of the Maslov-Type Index Intervening in Gutzwiller’s Trace Formula. arXiv:math-ph/0508051 Preprint, arXiv:math-ph/0508051 [math-ph] (2005). MSC: 37J05 53D12 53Z05 81S30 BibTeX Cite \textit{M. De Gosson} and \textit{S. De Gosson}, ``Extension of the Conley--Zehnder Index and Calculation of the Maslov-Type Index Intervening in Gutzwiller's Trace Formula'', Preprint, arXiv:math-ph/0508051 [math-ph] (2005) Full Text: arXiv
de Gosson, Maurice; de Gosson, Serge The Maslov indices of Hamiltonian periodic orbits. (English) Zbl 1047.37038 J. Phys. A, Math. Gen. 36, No. 48, L615-L622 (2003). MSC: 37J05 81Q20 81Q10 PDFBibTeX XMLCite \textit{M. de Gosson} and \textit{S. de Gosson}, J. Phys. A, Math. Gen. 36, No. 48, L615--L622 (2003; Zbl 1047.37038) Full Text: DOI arXiv
De Gosson, M.; De Gosson, S. The cohomological meaning of Maslov’s Langrangian path intersection index. (English) Zbl 1027.53099 de Gosson, Maurice (ed.), Jean Leray ’99 conference proceedings. The Karlskrona conference, Sweden, August 1999 in honor of Jean Leray. Dordrecht: Kluwer Academic Publishers. Math. Phys. Stud. 24, 143-162 (2003). Reviewer: Mircea Puta (Timişoara) MSC: 53D12 37J05 57R17 PDFBibTeX XMLCite \textit{M. De Gosson} and \textit{S. De Gosson}, Math. Phys. Stud. 24, 143--162 (2003; Zbl 1027.53099)
de Gosson, Maurice A. The ”symplectic camel principle” and semiclassical mechanics. (English) Zbl 1039.53103 J. Phys. A, Math. Gen. 35, No. 32, 6825-6851 (2002). MSC: 53D50 37J99 37N20 70H05 81Q20 PDFBibTeX XMLCite \textit{M. A. de Gosson}, J. Phys. A, Math. Gen. 35, No. 32, 6825--6851 (2002; Zbl 1039.53103) Full Text: DOI arXiv
de Gosson, Maurice The symplectic camel and phase space quantization. (English) Zbl 1008.53074 J. Phys. A, Math. Gen. 34, No. 47, 10085-10096 (2001). Reviewer: Andrew Bucki (Oklahoma City) MSC: 53D50 37J05 53D35 81S10 PDFBibTeX XMLCite \textit{M. de Gosson}, J. Phys. A, Math. Gen. 34, No. 47, 10085--10096 (2001; Zbl 1008.53074) Full Text: DOI
De Gosson, Maurice On the classical and quantum evolution of Lagrangian half-forms in phase space. (English) Zbl 1049.53055 Ann. Inst. Henri Poincaré, Phys. Théor. 70, No. 6, 547-573 (1999). Reviewer: Ivailo Mladenov (Sofia) MSC: 53D12 37J05 37N20 53D50 81S30 PDFBibTeX XMLCite \textit{M. De Gosson}, Ann. Inst. Henri Poincaré, Phys. Théor. 70, No. 6, 547--573 (1999; Zbl 1049.53055) Full Text: Numdam EuDML
de Gosson, Maurice On half-form quantization of Lagrangian manifolds and quantum mechanics in phase space. (English) Zbl 0878.58023 Bull. Sci. Math. 121, No. 4, 301-322 (1997). Reviewer: M.Crasmareanu (Iaşi) MSC: 37J99 53D50 81Q20 70G10 81S10 PDFBibTeX XMLCite \textit{M. de Gosson}, Bull. Sci. Math. 121, No. 4, 301--322 (1997; Zbl 0878.58023)
de Gosson, Maurice Maslov classes, metaplectic representation and Lagrangian quantization. (English) Zbl 0872.58031 Mathematical Research. 95. Berlin: Akademie Verlag. 186 p. (1997). Reviewer: M.Puta (Timişoara) MSC: 53D50 37-02 37J99 81S10 53C15 PDFBibTeX XMLCite \textit{M. de Gosson}, Maslov classes, metaplectic representation and Lagrangian quantization. Berlin: Akademie Verlag (1997; Zbl 0872.58031)
de Gosson, M. The structure of \(q\)-symplectic geometry. (English) Zbl 0829.58015 J. Math. Pures Appl., IX. Sér. 71, No. 5, 429-453 (1992). Reviewer: M.de Gosson (Sens, France) MSC: 37J99 57S05 PDFBibTeX XMLCite \textit{M. de Gosson}, J. Math. Pures Appl. (9) 71, No. 5, 429--453 (1992; Zbl 0829.58015)
de Gosson, Maurice A. Demazure-Kashiwara cocycles and metaplectic geometry. (Cocycles de Demazure-Kashiwara et géométrie métaplectique.) (French) Zbl 0776.53022 J. Geom. Phys. 9, No. 3, 255-280 (1992). Reviewer: C.Günther (Libby) MSC: 53C15 37J99 PDFBibTeX XMLCite \textit{M. A. de Gosson}, J. Geom. Phys. 9, No. 3, 255--280 (1992; Zbl 0776.53022) Full Text: DOI
de Gosson, Maurice Maslov indices on the metaplectic group \(Mp(n)\). (English) Zbl 0705.22013 Ann. Inst. Fourier 40, No. 3, 537-555 (1990). Reviewer: M.de Gosson MSC: 22E47 37J99 53C15 53D50 PDFBibTeX XMLCite \textit{M. de Gosson}, Ann. Inst. Fourier 40, No. 3, 537--555 (1990; Zbl 0705.22013) Full Text: DOI Numdam EuDML