Multiperiodic coherent states and the Wentzel–Kramers–Brillouin exactness. II. Noncompact case and classical theories revisited

DOI10.1063/1.532021zbMath0992.46065arXivquant-ph/9610002OpenAlexW1964208470MaRDI QIDQ4345141

Kazuyuki Fujii, Kunio Funahashi

Publication date: 20 November 1998

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9610002

zbMATH Keywords

Wentzel-Kramers-Brillouin approximationmultiperiodic coherent state

Mathematics Subject Classification ID

Coherent states (81R30) Applications of functional analysis in quantum physics (46N50) States of selfadjoint operator algebras (46L30)

Related Items (2)

Extension of the Barut–Girardello coherent state and path integral ⋮ Characteristic polynomials of random Hermitian matrices and Duistermaat-Heckman localisation on non-compact Kähler manifolds

Cites Work

• Addendum to ``On the variation in the cohomology of the symplectic form of the reduced phase space
• The Duistermaat–Heckman integration formula on flag manifolds
• 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
• 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
• Multi-periodic coherent states and the WKB exactness

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