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- W2941769614 abstract "For a two degree of freedom quantum integrable system, a new spectral quantity is defined, the quantum rotation number. In the semiclassical limit, the quantum rotation number can be detected on a joint spectrum and is shown to converge to the well-known classical rotation number. The proof requires not only semiclassical analysis (including Bohr-Sommerfeld quantization rules) but also a detailed study on how quantum labels can be assigned to the joint spectrum in a smooth way. This leads to the definition and analysis of asymptotic lattices. The general results are applied to the semitoric case where formulas become particularly natural." @default.
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- W2941769614 date "2019-05-23" @default.
- W2941769614 modified "2023-10-05" @default.
- W2941769614 title "The Rotation Number for Quantum Integrable Systems" @default.
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