A Quantum Theory of Higher Virial Coefficients
Feb, 197654 pages
Published in:
- Annals Phys. 101 (1976) 119
Report number:
- Print-76-0148 (BROOKLYN COLL.)
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Abstract: (Elsevier)
Recently a theory of time-delay phenomena in few particle scattering has been developed. The results of this theory are used to investigate the quantum virial coefficient problem in the case of Boltzmann statistics. Working within the frame work of Faddeev's time-dependent scattering theory we find explicit formulas for the higher virial coefficients. One aim of statistical mechanics is to derive all the equilibrium properties of a macroscopic system from the dynamical laws of the constituent particles. Our solutions for the higher virial coefficients prove that the macroscopic properties of a quantum gas are sensitive only to the time-delay aspect of the collision process. The analysis does not restrict the type of interactions between the constituents with the one exception of long-range Coulomb forces. In particular, the interaction may be attractive and strong enough to form stable few-particle clusters. Thus our solution describes the equilibrium in a quantum gas where the interactions are responsible for creating different species types.- STATISTICAL MECHANICS
- SCATTERING
- MANY-BODY PROBLEM
- MODEL: CLUSTER
- QUANTUM MECHANICS
- MODEL: TIME DELAY
- MODEL: GAS
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