Semiclassical expression of the spin propagator

Kee Su Park; Michael Stone; Anupam Garg

doi:10.1142/S0217979201007518

Semiclassical expression of the spin propagator

Kee Su Park^*, Michael Stone, Anupam Garg

^*Corresponding author for this work

Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	3220-3222
Number of pages	3
Journal	International Journal of Modern Physics B
Volume	15
Issue number	24-25
DOIs	https://doi.org/10.1142/S0217979201007518
State	Published - Oct 10 2001

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Condensed Matter Physics

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

author = "Park, {Kee Su} and Michael Stone and Anupam Garg",

note = "Funding Information: Work at Urbana and Evanston was supported by the National Science Foundation under grants DMR-98-17941 and DMR-9616749, respectively. MS would also like to thank the TCM at the Cavendish Laboratory, Cambridge, England, for hospitality, and the EPSRC for financial support under grant number GR/N00364.",

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AU - Park, Kee Su

AU - Stone, Michael

AU - Garg, Anupam

N1 - Funding Information: Work at Urbana and Evanston was supported by the National Science Foundation under grants DMR-98-17941 and DMR-9616749, respectively. MS would also like to thank the TCM at the Cavendish Laboratory, Cambridge, England, for hospitality, and the EPSRC for financial support under grant number GR/N00364.

PY - 2001/10/10

Y1 - 2001/10/10

N2 - We use a continuous-time path integral to obtain the semiclassical propagator for minimal-spread spin coherent states. We pay attention to the extra phase. This extra correction of phase is related to an anomaly in the fluctuation determinant. We show that if this extra factor is included, the semiclassical propagator has the correct short time behaviour to O(T2), and demonstrate its consistency under dissection of the path.

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

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