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Calculation of the coherent memory functions from the eigenvalues and eigenvectors of the corresponding stationary Schrödinger equation
Author(s) -
Skála L.
Publication year - 1983
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560230220
Subject(s) - eigenvalues and eigenvectors , bessel function , representation (politics) , mathematics , algebraic number , master equation , matrix differential equation , schrödinger equation , mathematical analysis , physics , quantum mechanics , quantum , politics , political science , law
Using some properties of the Bessel functions the algebraic representation of the Nakajima–Zwanzig generalized master equation was derived. This representation makes possible the calculation of the memory functions in terms of the probabilities. Using this approach, the formulas for the memory functions giving their dependence on the eigenvalues and eigenvectors of the corresponding stationary Schrödinger equation are given and discussed in detail.