Symplectic manifolds, coherent states, and semiclassical approximation

DOI10.1063/1.530550zbMath0805.58025arXivhep-th/9310138OpenAlexW1997675199MaRDI QIDQ4314211

S. Kalyana Rama, Siddhartha Sen, Sarada G. Rajeev

Publication date: 20 November 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9310138

zbMATH Keywords

path integralsGrassmannian manifoldsHamiltonian dynamicssymplectic structurecoherent statesemiclassical methodsdisctwo- dimensional sphere

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Multi-periodic coherent states and the WKB exactness, A geometrical approach to quantum holonomic computing algorithms, Solutions of A∞ Toda equations based on noncompact group SU(1,1) and infinite-dimensional Grassmann manifolds, Lax-type flows on Grassmann manifolds and dual momentum mappings, 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, Multiperiodic coherent states and the Wentzel–Kramers–Brillouin exactness. II. Noncompact case and classical theories revisited

Cites Work

• Coadjoint orbits of the Virasoro group
• Addendum to ``On the variation in the cohomology of the symplectic form of the reduced phase space
• Two dimensional gauge theories revisited
• CHERN-SIMONS QUANTUM MECHANICS, SUPERSYMMETRY, AND SYMPLECTIC INVARIANTS