Symplectic spectral geometry of semiclassical operators

zbMath1278.81088arXiv1303.2570MaRDI QIDQ372700

Álvaro Pelayo

Publication date: 21 October 2013

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2570

zbMATH Keywords

integrable systemssymplectic manifoldsmomentum mapsmutually commuting self-adjoint operatorssemiclassical operators

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Geometry and quantization, symplectic methods (81S10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Momentum maps; symplectic reduction (53D20) Deformation quantization, star products (53D55)

Related Items (3)

Spectral asymptotics of semiclassical unitary operators ⋮ Symplectic invariants of semitoric systems and the inverse problem for quantum systems ⋮ Open problems, questions and challenges in finite- dimensional integrable systems

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