ON THE USE OF FORMAL OPERATOR TECHNIQUES IN QUANTUM STATISTICAL MECHANICS
An alternative derivation of the linked cluster expansions for the partition function of a grand canonical ensemble is given. It is shown that the cluster coefficients in that expansion are related to connected Bloch diagrams. In a timeindependent approach, the contributions of those diagrams may be expressed in terms of the generalized scattering matrix of Watson. This t matrix for a hard core irteraction was applied in a calculation of the three cluster coefficients of a boson gas of inpenetrable spheres. The results accord with those obtained by the binary collision method. The relation and differences in the various approaches are discussed. (auth)
- Research Organization:
- Weizmann Inst. of Science, Rehovoth, Israel
- NSA Number:
- NSA-15-006561
- OSTI ID:
- 4107128
- Journal Information:
- Physica, Journal Name: Physica Vol. Vol: 26
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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