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MANY-BODY PROBLEM IN QUANTUM STATISTICAL MECHANICS. I. GENERAL FORMULATION

Journal Article · · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D
;
A formulation is given whereby the grand partition function of a many- body system satisfying BoseEinstein or Fermi-Dirac statistics is expressed in terms of certain U functions defined ior the same system with Boltzmam statistics. lt is then shown that these U functions can be evaluated in successive approximations in terms of a binary kernel B which can be computed from a solution of the two-body problem. The approach to the limit of infinite volume is studied. The example of a hard sphere interaction is discussed in some detail. (auth)
Research Organization:
Columbia Univ., New York; Inst. for Advanced Study, Princeton, N.J.
NSA Number:
NSA-13-013962
OSTI ID:
4256764
Journal Information:
Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 113; ISSN PHRVA
Country of Publication:
Country unknown/Code not available
Language:
English

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Related Subjects

BOSE-EINSTEIN STATISTICS
BOSONS
FERMIONS
INTERACTIONS
MANY BODY PROBLEM
MATHEMATICS
MAXWELL DISTRIBUTION
PHYSICS AND MATHEMATICS
QUANTUM MECHANICS
STATISTICS
THERMODYNAMICS