Open AccessA general treatment of relaxation phenomena
Author(s) -
S. H. Lin,
Henry Eyring
Publication year - 1977
Publication title -
proceedings of the national academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.74.9.3623
Subject(s) - diagonal , reciprocal , density matrix , relaxation (psychology) , master equation , perturbation (astronomy) , physics , perturbation theory (quantum mechanics) , diagonal matrix , quantum , range (aeronautics) , matrix (chemical analysis) , classical mechanics , statistical physics , mathematics , mathematical analysis , quantum mechanics , chemistry , materials science , geometry , psychology , social psychology , philosophy , linguistics , chromatography , composite material
The singular perturbation method has been applied to solve the quantum mechanical Liouville equation for the relaxation phenomenon of the system in thermal contact with a heat bath. The master equation derived gives the proper expressions for both diagonal and off-diagonal elements of the density matrix and is capable of describing the time-dependent behavior of the system in the time range comparable with the reciprocal of the damping constants and the time range t --> infinity compared with the reciprocal of the damping constants.
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