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

2004/04/16 by Mikhail Pletyukhov · 2 citations
Physics and Astronomy · Chemistry · #Quantum chaos and dynamical systems #Molecular spectroscopy and chirality #Laser-Matter Interactions and Applications

paper · doi:10.1063/1.1695599

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.

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