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

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

2003-04-04

arxiv.org/abs/cond-mat/0304114v2

Journal of Mathematical Physics, Vol. 45 (2004) 1859

Physics

Condensed Matter

19 pages, no figures; a more general treatment is presented, some references are added, title is slightly changed; submitted t

Scientific paper

The problem of an origin of the Solary-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.

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