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On the quantum deformations of Hamiltonian systems (1996)

Lledó, M. A. ; García-Sucre, M.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 37 (1996), S. 160-173

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Details

ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: In this paper we analyze the relationship between operatorial quantization and deformation quantization for Hamiltonian systems on R2n. We define heuristically generalized symbols for the operators, which make this connection. We construct explicitly deformations which are not equivalent to the Moyal one and show that an infinitesimal, classical canonical transformation does not change the equivalence class of the deformation. The results are applied to the quantum integrability of some two dimensional Hamiltonian systems. © 1996 American Institute of Physics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.531381

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