Dirac's variational approach to semiclassical Kramers problem in Smoluchowski limit

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题名:	Dirac's variational approach to semiclassical Kramers problem in Smoluchowski limit
作者:	Ho, Choon-Lin
日期:	2025-07-14
上传时间:	2026-07-03 12:05:15 (UTC+8)
出版者:	IOP Publishing
摘要:	Kramers escape from a metastable state in the presence of both thermal and quantum fluctuations under strong damping is treated as a thermally activated process in a quantum modified semiclassical potential. Dirac’s time-dependent variational method together with the Jackiw-Kerman function is employed to derive the semiclassical potential. Quantum correction is incorporated in the drift potential, and is determined by quasi-stationary conditions and minimal uncertainty relation. The semiclassical rate obtained here is consistent in form with those from the quantum Smoluchowski equations deduced heuristically by modifying the diffusion coefficient using the path-integral method. Unlike approaches using the path-integral, which involves continuation into imaginary time, the approach here is simpler and more easily understood in terms of classical picture.
關聯:	Physica Scripta 100(7), 075267
DOI:	10.1088/1402-4896/adebbb
显示于类别:	[物理學系暨研究所] 期刊論文

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