On the extra phase correction to the semiclassical spin coherent-state propagator

Pletyukhov, Mikhail (2004) On the extra phase correction to the semiclassical spin coherent-state propagator. JOURNAL OF MATHEMATICAL PHYSICS, 45 (5). pp. 1859-1872. ISSN 0022-2488, 1089-7658

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Abstract

The problem of an origin of the Solari-Kochetov extra-phase contribution to the naive semiclassical form of a generalized phase-space propagator is addressed with the special reference to the su(2) spin case which is the most important in applications. While the extra-phase correction to a flat phase-space propagator can straightforwardly be shown to appear as a difference between the principal and the Weyl symbols of a Hamiltonian in the next-to-leading order expansion in the semiclassical parameter, the same statement for the semiclassical spin coherent-state propagator holds provided the Holstein-Primakoff representation of the su(2) algebra generators is employed. (C) 2004 American Institute of Physics.

Item Type: Article
Uncontrolled Keywords: PATH-INTEGRALS; REPRESENTATION; APPROXIMATION; QUANTIZATION; INTERFERENCE; EXPANSIONS; PARTICLES; SYSTEMS; MODEL; SPACE;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 21 Jul 2021 04:55
Last Modified: 21 Jul 2021 04:55
URI: https://pred.uni-regensburg.de/id/eprint/37705

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