On the Weyl representation of metaplectic operators

DOI10.1007/s11005-005-4391-yzbMath1115.81048arXivmath/0503708OpenAlexW1976680520MaRDI QIDQ2571654

Maurice A. De Gosson

Publication date: 14 November 2005

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

Full work available at URL: https://arxiv.org/abs/math/0503708

zbMATH Keywords

Weyl symbolmetaplectic operatorsGutzwiller formulaMaslov and Conley-Zehnder index

Mathematics Subject Classification ID

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)

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Cites Work

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• Chaos in classical and quantum mechanics
• Weyl transforms
• Weyl quantization and star products
• Path integration over closed loops and Gutzwiller's trace formula
• Characters and contact transformations
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations

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