Multi-periodic coherent states and the WKB exactness

DOI10.1063/1.531760zbMath0883.46048arXivhep-th/9605002OpenAlexW3099054292MaRDI QIDQ5284670

Kunio Funahashi, Kazuyuki Fujii

Publication date: 22 January 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9605002

zbMATH Keywords

path integralHamiltoniansquantum mechanicsspinharmonic oscillatortrace formulasLagrangiansgeneralized coherent statesWKB exactnessinfinite-dimensional stationary phase methodWKB expansions in the semiclassical parameter

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Coherent states (81R30) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Applications of functional analysis in quantum physics (46N50)

Related Items (2)

Multiperiodic coherent states and the Wentzel–Kramers–Brillouin exactness. II. Noncompact case and classical theories revisited ⋮ Extension of the Barut–Girardello coherent state and path integral

Cites Work

• Quantization of symplectic orbits of compact Lie groups by means of the functional integral
• Addendum to ``On the variation in the cohomology of the symplectic form of the reduced phase space
• Two dimensional gauge theories revisited
• The propagator for quantum mechanics on a group manifold from an infinite-dimensional analogue of the Duistermaat-Heckman integration formula
• CHERN-SIMONS QUANTUM MECHANICS, SUPERSYMMETRY, AND SYMPLECTIC INVARIANTS
• Symplectic manifolds, coherent states, and semiclassical approximation
• Localization and diagonalization: A review of functional integral techniques for low-dimensional gauge theories and topological field theories
• Exactness in the Wentzel–Kramers–Brillouin approximation for some homogeneous spaces
• Coherent states, path integral, and semiclassical approximation
• Coherent states over Grassmann manifolds and the WKB exactness in path integral

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