On the Geometry of Slow-Fast Phase Spaces and the Semiclassical Quantization
In the context of the averaging method for Poisson and symplectic structures and the theory of Hannay–Berry connections, we discuss some aspects of the semiclassical quantization for a class of slow-fast Hamiltonian systems with two degrees of freedom. For a pseudodifferential Weyl operator with two...
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| Veröffentlicht in: | Russian journal of mathematical physics 2021, Vol.28 (1), p.8-21 |
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| container_title | Russian journal of mathematical physics |
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| creator | Avendano-Camacho, M. Mamani-Alegria, N. Vorobiev, Y. M. |
| description | In the context of the averaging method for Poisson and symplectic structures and the theory of Hannay–Berry connections, we discuss some aspects of the semiclassical quantization for a class of slow-fast Hamiltonian systems with two degrees of freedom. For a pseudodifferential Weyl operator with two small parameters corresponding to the semiclassical and adiabatic limits, we show how to construct some series of quasimodes associated to a family of Lagrangian 2-tori which are almost invariant with respect to the classical dynamics. |
| doi_str_mv | 10.1134/S1061920821010039 |
| format | Article |
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| subjects | 14/34 639/766/189 639/766/530 639/766/747 Hamiltonian functions Mathematical and Computational Physics Measurement Physical Sciences Physics Physics and Astronomy Physics, Mathematical Science & Technology Theoretical Toruses |
| title | On the Geometry of Slow-Fast Phase Spaces and the Semiclassical Quantization |
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