Transport Equations Including Many-Particle Correlations for an Arbitrary Quantum System: A General Formalism
✍ Scribed by Jens Fricke
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 560 KB
- Volume
- 252
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
We present a new method to derive transport equations for non-relativistic quantum manyparticle systems. This method uses an equation-of-motion technique and is applicable to interacting fermions and (or) bosons in arbitrary time-dependent external fields. Using a cluster expansion of the r-particle density matrices the infinite hierarchy of equations of motion for many-particle expectation values is transposed into an equivalent one in terms of correlations. This new hierarchy permits a systematic breaking of the hierarchy at any order. Diagrams are derived for these transport equations. In a second paper the method is tested for exactly soluble electron-phonon models in one dimension.