Green's-Function Theory of a Damped Boson System (Application to an Interacting Magnon System)
- 1 January 1972
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 5 (1) , 442-452
- https://doi.org/10.1103/physreva.5.442
Abstract
The many-time Green's-function theory for a damped boson system subjected to an external time-dependent excitation is presented. The damping is properly taken into account by means of a generalized form of the Senitzky-Haken theory of a boson system interacting with a heat bath. The theory leads to a hierarchy of equations for the Green's functions of the system, which are averaged over the heat-bath variables and which take into account the damping of the various boson modes. Two examples for a ferromagnetic magnon system coupled by an anharmonic interaction are given.Keywords
This publication has 10 references indexed in Scilit:
- Green's-Function Theory of the Parametric Excitation of Nonuniform Magnon Modes in Strongly Magnetic SystemsPhysical Review B, 1969
- The quantum-fluctuations of the optical parametric oscillator. IIThe European Physical Journal A, 1968
- The quantum-fluctuations of the optical parametric oscillator. IThe European Physical Journal A, 1968
- Green's-Function Theory of Nonlinear Transport CoefficientsPhysical Review B, 1967
- Methods in the Quantum Theory of MagnetismPublished by Springer Nature ,1967
- Dissipation in Quantum Mechanics. The Harmonic Oscillator. IIPhysical Review B, 1961
- Ferromagnetic Relaxation. I. Theory of the Relaxation of the Uniform Precession and the Degenerate Spectrum in Insulators at Low TemperaturesPhysical Review B, 1961
- Dissipation in Quantum Mechanics. The Harmonic OscillatorPhysical Review B, 1960
- Double-time Green functions in statistical physicsUspekhi Fizicheskih Nauk, 1960
- Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction ProblemsJournal of the Physics Society Japan, 1957