On the path integral for diffusion in curved spaces

H. Dekker

Physica A: Statistical Mechanics and its Applications, 1980, vol. 103, issue 3, 586-596

Abstract: The Onsager-Machlup Lagrangian for diffusion processes in curved spaces is determined by evaluating the covariant path integral by means of a spectral analysis of smooth trajectories in Riemannian normal coordinates. The Lagrangian involves a novel curvature scalar potential term v=−(18)R. The present treatment replaces an earlier one.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:103:y:1980:i:3:p:586-596

DOI: 10.1016/0378-4371(80)90027-8

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