The semiclassical propagator for spin coherent states

Michael Stone, Kee Su Park, Anupam Garg

Research output: Contribution to journalArticlepeer-review


We use a continuous-time path integral to obtain the semiclassical propagator for minimal-spread spin coherent states. We pay particular attention to the "extra phase" discovered by Solari and Kochetov, and show that this correction is related to an anomaly in the fluctuation determinant. We show that, once this extra factor is included, the semiclassical propagator has the correct short time behavior to O(T2), and demonstrate its consistency under dissection of the path.

Original languageEnglish (US)
Pages (from-to)8025-8049
Number of pages25
JournalJournal of Mathematical Physics
Issue number12
StatePublished - Dec 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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