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Quantum Smoluchowski equation
Author(s) -
Pechukas Philip,
Ankerhold Joachim,
Grabert Hermann
Publication year - 2000
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/1521-3889(200010)9:9/10<794::aid-andp794>3.0.co;2-j
Subject(s) - smoluchowski coagulation equation , brownian motion , diagonal , physics , master equation , classical mechanics , limit (mathematics) , quantum , operator (biology) , classical limit , mathematical physics , quantum mechanics , mathematical analysis , mathematics , geometry , biochemistry , chemistry , repressor , transcription factor , gene
The strong friction limit of the Caldeira‐Leggett model for quantum Brownian motion is analyzed. In this Smoluchowski limit the density operator of the Brownian particle is essentially diagonal in coordinate, and the diagonal element satisfies the classical Smoluchowski equation. This result cannot be obtained from the master equations that have been proposed for quantum Brownian motion, whether or not these equations are of Lindblad form.