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2001•International Journal of Modern Physics BRequires access

SEMICLASSICAL EXPRESSION OF THE SPIN PROPAGATOR

Kee-Su Park, Michael Stone, Anupam Garg

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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.

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What this paper is about

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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Available 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.

Key concepts: Semiclassical physics, Propagator, Path integral formulation, Physics, Consistency (knowledge bases), Spin (aerodynamics), Path (computing), Anomaly (physics)

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