Diagram Expansions in Quantum Statistics
Journal Article
·
· Physics of Fluids (New York)
The Montroll-Ward-Lee-Yang approach to quantum statistics is generalized to multicomponent systems. It is generalized so as to include external fields. The formalism is constructed in a volume-dependent manner, and includes internal coordinates, such as spin, from the beginning. It is rigorously proved that the quantam-mechanical volume-dependent cluster integral may be expressed in terms of connected diagrams only. The rules for drawing these diagrams are given. By simply generalizing the meaning of the word "determinant," all arguments are made to apply to both Fermi-Dirac and Bose-Einstein statistics simultaneously. A statistics factor. gamma = plus or minus 1. for bosons (fermions) is introduced, in terms of which single formulas apply to both statistics. Rules are stated, by means of which the gamma dependence of the contribution to the pressure for any diagram is given in terms of an elementary topological property of the diagram.
- Research Organization:
- Univ. of California, Livermore
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-14-014201
- OSTI ID:
- 4170966
- Journal Information:
- Physics of Fluids (New York), Journal Name: Physics of Fluids (New York) Journal Issue: 2 Vol. 3; ISSN 0031-9171; ISSN PFLDAS
- Publisher:
- American Institute of Physics
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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