de Gosson, Maurice A. Quantum harmonic analysis of the density matrix. (English) Zbl 1446.81006 Quanta 7, No. 1, 74-110 (2018). MSC: 81P05 PDF BibTeX XML Cite \textit{M. A. de Gosson}, Quanta 7, No. 1, 74--110 (2018; Zbl 1446.81006) Full Text: DOI arXiv OpenURL
Pravda-Starov, Karel Generalized Mehler formula for time-dependent non-selfadjoint quadratic operators and propagation of singularities. (English) Zbl 1405.35270 Math. Ann. 372, No. 3-4, 1335-1382 (2018). Reviewer: Luigi Rodino (Torino) MSC: 35S05 47D06 PDF BibTeX XML Cite \textit{K. Pravda-Starov}, Math. Ann. 372, No. 3--4, 1335--1382 (2018; Zbl 1405.35270) Full Text: DOI arXiv OpenURL
de Gosson, Maurice A.; Nicacio, Fernando Relative phase shifts for metaplectic isotopies acting on mixed Gaussian states. (English) Zbl 1390.81246 J. Math. Phys. 59, No. 5, 052106, 20 p. (2018). MSC: 81R30 81Q70 81P16 53D12 PDF BibTeX XML Cite \textit{M. A. de Gosson} and \textit{F. Nicacio}, J. Math. Phys. 59, No. 5, 052106, 20 p. (2018; Zbl 1390.81246) Full Text: DOI arXiv OpenURL
Chebotarev, A. M.; Tlyachev, T. V. Normal forms, inner products, and Maslov indices of general multimode squeezings. (English) Zbl 1312.81097 Math. Notes 95, No. 5, 721-737 (2014). MSC: 81R30 81T70 81Q20 81P15 53D12 PDF BibTeX XML Cite \textit{A. M. Chebotarev} and \textit{T. V. Tlyachev}, Math. Notes 95, No. 5, 721--737 (2014; Zbl 1312.81097) Full Text: DOI arXiv OpenURL
de Gosson, Maurice A.; Luef, Franz Metaplectic group, symplectic Cayley transform, and fractional Fourier transforms. (English) Zbl 1322.43003 J. Math. Anal. Appl. 416, No. 2, 947-968 (2014). Reviewer: Boris Rubin (Baton Rouge) MSC: 43A25 42C99 42C15 PDF BibTeX XML Cite \textit{M. A. de Gosson} and \textit{F. Luef}, J. Math. Anal. Appl. 416, No. 2, 947--968 (2014; Zbl 1322.43003) Full Text: DOI OpenURL
De Gosson, Maurice A. Symplectic covariance properties for Shubin and Born-Jordan pseudo-differential operators. (English) Zbl 1278.47050 Trans. Am. Math. Soc. 365, No. 6, 3287-3307 (2013). Reviewer: Ahmed Lesfari (El Jadida) MSC: 47G30 35Q40 65P10 35S05 42B10 PDF BibTeX XML Cite \textit{M. A. De Gosson}, Trans. Am. Math. Soc. 365, No. 6, 3287--3307 (2013; Zbl 1278.47050) Full Text: DOI arXiv OpenURL
Molahajloo, Shahla; Wong, M. W. The Schrödinger kernel of the twisted Laplacian and cyclic models. (English) Zbl 1208.47038 Arch. Math. 95, No. 6, 593-599 (2010). Reviewer: Miyeon Kwon (Platteville, WI) MSC: 47F05 47G30 81Q05 PDF BibTeX XML Cite \textit{S. Molahajloo} and \textit{M. W. Wong}, Arch. Math. 95, No. 6, 593--599 (2010; Zbl 1208.47038) Full Text: DOI OpenURL
De Gosson, Maurice; Luef, Franz Spectral and regularity properties of a pseudo-differential calculus related to Landau quantization. (English) Zbl 1200.81061 J. Pseudo-Differ. Oper. Appl. 1, No. 1, 3-34 (2010). MSC: 81Q10 81S30 35S05 81S05 PDF BibTeX XML Cite \textit{M. De Gosson} and \textit{F. Luef}, J. Pseudo-Differ. Oper. Appl. 1, No. 1, 3--34 (2010; Zbl 1200.81061) Full Text: DOI arXiv OpenURL
De Gosson, Maurice On the usefulness of an index due to Leray for studying the intersections of Lagrangian and symplectic paths. (English) Zbl 1179.53080 J. Math. Pures Appl. (9) 91, No. 6, 598-613 (2009). Reviewer: Luc Vrancken (Valenciennes) MSC: 53D12 53D35 PDF BibTeX XML Cite \textit{M. De Gosson}, J. Math. Pures Appl. (9) 91, No. 6, 598--613 (2009; Zbl 1179.53080) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. de Gosson} et al., Ann. Global Anal. Geom. 34, No. 2, 167--183 (2008; Zbl 1145.37013) Full Text: DOI arXiv OpenURL
de Gosson, Maurice Metaplectic representation, Conley-Zehnder index, and Weyl calculus on phase space. (English) Zbl 1156.81028 Rev. Math. Phys. 19, No. 10, 1149-1188 (2007). MSC: 81S30 43A65 43A32 81S10 81Q20 PDF BibTeX XML Cite \textit{M. de Gosson}, Rev. Math. Phys. 19, No. 10, 1149--1188 (2007; Zbl 1156.81028) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. de Gosson} and \textit{F. Luef}, Lett. Math. Phys. 80, No. 1, 69--82 (2007; Zbl 1113.81090) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL