MANY-BODY PROBLEM IN QUANTUM STATISTICAL MECHANICS. IV. FORMULATION IN TERMS OF AVERAGE OCCUPATION NUMBER IN MOMENTUM SPACE

Journal Article · Fri Jan 01 00:00:00 EST 1960 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.117.22· OSTI ID:4177445

Lee, T D; Yang, C N

Starting from Rules A and B of a previous paper (I), it is shown that the grand partition function can be evaluated in terms of the statistical averages of the occupation number in momentum space. The final formulation is in terms of a simple variational principle. The procedure represents a concise and complete separation of the effect of the BoseEinstein or Fermi-Dirac statistical character of the particles from the dynamical problem. In the case of Bose statistics, this formulation makes possible a systematic computation of all thermodynannic functions near the BoseEinstein transition point in the gaseous phase. Applications to a system of hard spheres are discussed. (auth)

• Research Organization: Columbia Univ., New York; Inst. for Advanced Study, Priceton, N.J.
• NSA Number: NSA-14-011248
• OSTI ID: 4177445
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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 D, Journal Name: Physical Review (U.S.) Superseded in part by Phys.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: 117; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BOSE-EINSTEIN STATISTICS
BOSONS
ELEMENTARY PARTICLES
FERMIONS
GASES
GRAND PARTITION FUNCTION
MANY BODY PROBLEM
MATHEMATICS
MOMENTUM
OCCUPATION NUMBER
PHYSICS
QUANTUM MECHANICS
STATISTICS
TEMPERATURE
THERMODYNAMICS
TRANSITION TEMPERATURE
VARIATIONAL METHOD
VARIATIONAL PRINCIPLE
VARIATIONS