NAKAJIMA-ZWANZIGS GENERALIZED MASTER EQUATION - EVALUATION OF KERNEL OF INTEGRO-DIFFERENTIAL EQUATION

被引：13

作者：

KUHNE, R

REINEKER, P

机构：

[1] Abteilung Theoretische Physik I, Universität Ulm, Ulm, D-7900, Oberer Eselsberg

来源：

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER | 1978年 / 31卷 / 01期

关键词：

D O I：

10.1007/BF01320131

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

A method is presented, which allows the exact elimination of the projection operator from the kernel of the Nakajima-Zwanzig generalized master equation without using perturbational expansions. Expressions for kernels of generalized master equations using several frequently occuring types of projection operators are derived explicitly. The application of this method for the exact derivation of generalized master equations describing the coherent and the coupled coherent and incoherent exciton motion is proposed. As another application, the derivation of the Smoluchowski equation is suggested. © 1978 Springer-Verlag.

引用

页码：105 / 110

页数：6

共 21 条

[1]

Abramowitz M., 1970, HDB MATH FNCTIONS

[2]

Agarwal GS., 1973, PROGR OPTICS, V11

[3]

ARGYRES PN, 1964, PHYS REV A, V134, P5405

[4]

Bonch-Bruevich V. L., 1962, GREEN FUNCTION METHO

[5]

Fetter AL., 1971, QUANTUM THEORY MANY

[6] NON-MARKOFFIAN EFFECTS IN LASER [J].

HAAKE, F .

ZEITSCHRIFT FUR PHYSIK, 1969, 227 (02) :179-&

[7]

Haake F., 1973, SPRINGER TRACTS MODE, V66

[8] COOPERATIVE PHENOMENA IN SYSTEMS FAR FROM THERMAL EQUILIBRIUM AND IN NONPHYSICAL SYSTEMS [J].

HAKEN, H .

REVIEWS OF MODERN PHYSICS, 1975, 47 (01) :67-121

[9] EXACTLY SOLVABLE MODEL FOR COHERENT AND INCOHERENT EXCITON MOTION [J].

HAKEN, H ;

STROBL, G .

ZEITSCHRIFT FUR PHYSIK, 1973, 262 (02) :135-148

[10] COUPLED COHERENT AND INCOHERENT MOTION OF EXCITONS AND ITS INFLUENCE ON LINE SHAPE OF OPTICAL-ABSORPTION [J].

HAKEN, H ;

REINEKER, P .

ZEITSCHRIFT FUR PHYSIK, 1972, 249 (03) :253-&

← 1 2 3 →