METAPLECTIC REPRESENTATION, CONLEY–ZEHNDER INDEX, AND WEYL CALCULUS ON PHASE SPACE

DOI10.1142/S0129055X07003152zbMath1156.81028OpenAlexW1963537014MaRDI QIDQ5386934

Maurice A. De Gosson

Publication date: 14 May 2008

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x07003152

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Other transforms and operators of Fourier type (43A32)

Related Items (5)

Gabor frame sets of invariance: a Hamiltonian approach to Gabor frame deformations ⋮ Relative phase shifts for metaplectic isotopies acting on mixed Gaussian states ⋮ Spectral and regularity properties of a pseudo-differential calculus related to Landau quantization ⋮ Quantum Harmonic Analysis of the Density Matrix ⋮ Symplectic covariance properties for Shubin and Born–Jordan pseudo-differential operators

Cites Work

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