Quantum monodromy and Bohr-Sommerfeld rules

DOI10.1023/A:1010944312712zbMath0981.81043MaRDI QIDQ5944751

San Vũ Ngoc

Publication date: 2 April 2002

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

zbMATH Keywords

completely integrable systemssemiclassical quantizationBohr-Sommerfeld rulesjoint spectrum of commuting operators

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Geometry and quantization, symplectic methods (81S10) Pseudodifferential and Fourier integral operators on manifolds (58J40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Monodromy on manifolds (58K10)

Related Items (11)

Moment polytopes for symplectic manifolds with monodromy ⋮ Classical and quantum monodromy via action-angle variables ⋮ The geometry of the semiclassical wave front set for Schrödinger eigenfunctions on the torus ⋮ Hans Duistermaat's contributions to Poisson geometry ⋮ An affine model for the actions in an integrable system with monodromy ⋮ Spectral monodromy of non-self-adjoint operators ⋮ An exact version of the Egorov theorem for Schrödinger operators in \(L^2(\mathbb {T})\) ⋮ Hamiltonian monodromy via geometric quantization and theta functions ⋮ Exact Bohr-Sommerfeld conditions for the quantum periodic Benjamin-Ono equation ⋮ Schrödinger spectra and the effective Hamiltonian of weak KAM theory on the flat torus ⋮ Asymptotic lattices, good labellings, and the rotation number for quantum integrable systems

This page was built for publication: Quantum monodromy and Bohr-Sommerfeld rules