Exactness in the Wentzel–Kramers–Brillouin approximation for some homogeneous spaces

DOI10.1063/1.530910zbMath0847.46044arXivhep-th/9501145OpenAlexW1512041886MaRDI QIDQ4873342

Kazuyuki Fujii, Seiji Sakoda, Kunio Funahashi, Taro Kashiwa

Publication date: 19 May 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9501145

zbMATH Keywords

trace formulacoherent statesexactnessWKB analysisWentzel-Kramers-Brillouin approximation\(SU(1,1)\)\(CP^ N\) system\(SU(2)\)-spin system

Mathematics Subject Classification ID

Quantum optics (81V80) 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 (10)

Multi-periodic coherent states and the WKB exactness ⋮ On localization and regularization ⋮ Concurrence for a two-qubits mixed state consisting of three pure states in the framework of SU(2) coherent states ⋮ Multiperiodic coherent states and the Wentzel–Kramers–Brillouin exactness. II. Noncompact case and classical theories revisited ⋮ EXTENDED FEYNMAN FORMULA FOR THE HARMONIC OSCILLATOR BY THE DISCRETE TIME METHOD ⋮ Two-mode bosonic squeezing and symmetry breaking ⋮ Extension of the Barut–Girardello coherent state and path integral ⋮ Information geometry and the quantum estimation problem ⋮ Localization of Equivariant Cohomology for Compact and Non-Compact Group Actions ⋮ Representations of quantum superalgebra U q[gl(2|1) in a coherent state basis and generalization]

Cites Work

• Morse functions for which the stationary phase approximation is exact
• The Duistermaat–Heckman integration formula on flag manifolds
• Symplectic manifolds, coherent states, and semiclassical approximation

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