Generalized Master Equation and t-Matrix Expansion
- 1 April 1963
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 4 (4), 544-551
- https://doi.org/10.1063/1.1703989
Abstract
Some mathematical aspects of the generalized master equation are discussed. The resolvent operator is expanded in terms of a two‐body scattering matrix and this result is used to express the quantities in the generalized master equation in terms of expansions in the scattering matrix. The expansions are utilized in studying the density dependence of these quantities.Keywords
This publication has 9 references indexed in Scilit:
- Derivation of Generalized Master EquationsJournal of Mathematical Physics, 1962
- Theory of Transport Coefficients. I. General Theory and Electrical Conductivity of Electron-Phonon SystemJournal of Mathematical Physics, 1962
- Binary collision expansion of quantum statistical pair propagatorPhysica, 1961
- On the calculation of the t-matrix for potentials with a hard corePhysica, 1961
- Three body collisions in quantum mechanicsPhysica, 1961
- The approach to equilibrium in quantum statistics: A perturbation treatment to general orderPhysica, 1957
- Perturbation theory of large quantum systemsPhysica, 1957
- Applications of Scattering Theory to Quantum Statistical MechanicsPhysical Review B, 1956
- Markoff Random Processes and the Statistical Mechanics of Time-Dependent Phenomena. II. Irreversible Processes in FluidsThe Journal of Chemical Physics, 1954