A Quantum Dissipation Theory of Anharmonic Crystals
- 15 August 1968
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 172 (3), 640-650
- https://doi.org/10.1103/PhysRev.172.640
Abstract
A quantum-mechanical dissipation theory is applied to the problem of anharmonic vibrations of a crystal. Equations for the anharmonic phonon creation and annihilation operators are obtained, from which may be extracted damping-constant and frequency-shift expressions. These are compared with the results of other techniques.Keywords
This publication has 19 references indexed in Scilit:
- Classical Noise. V. Noise in Self-Sustained OscillatorsPhysical Review B, 1967
- On the Quasi‐Harmonic Theory of PhononsPhysica Status Solidi (b), 1967
- Renormalization and Statistical Mechanics in Many-Particle Systems. I. Hamiltonian Perturbation MethodPhysical Review B, 1966
- Anharmonicity of Vibrations and the Inner Displacements in CrystalsPhysical Review B, 1966
- Quantum Noise. IV. Quantum Theory of Noise SourcesPhysical Review B, 1966
- Neutron Scattering by an Anharmonic CrystalPhysical Review B, 1963
- Scattering of Neutrons by an Anharmonic CrystalPhysical Review B, 1962
- Lattice Anharmonicity and Optical Absorption in Polar Crystals. II. Classical Treatment in the Linear ApproximationPhysical Review B, 1961
- Lattice Anharmonicity and Optical Absorption in Polar Crystals: I. The Linear ChainPhysical Review B, 1960
- Irreversibility and Generalized NoisePhysical Review B, 1951