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

Abstract

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.

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

References in corpus (3)

• Semiclassical theory of spin-orbit interaction in the extended phase space
• Bohr-Sommerfeld quantization of spin Hamiltonians
• Instanton picture of the spin tunneling in the Lipkin model

Cited by in corpus (8)

• Semiclassical coherent state propagator for systems with spin
• Breakdown of the coherent state path integral: two simple examples
• The semiclassical propagator in fermionic Fock space
• The semiclassical propagator in Fock space: dynamical echo and many-body interference
• Real trajectories in the semiclassical coherent state propagator
• Semiclassical Husimi functions for spin systems
• The Semiclassical Coherent State Propagator in the Weyl Representation
• Semiclassical propagation of spin coherent states