MANY-BODY PROBLEM IN QUANTUM STATISTICAL MECHANICS. V. DEGENERATE PHASE IN BOSE-EINSTEIN CONDENSATION

Journal Article · Mon Feb 15 00:00:00 EST 1960 · Physical Review (U.S.) Superseded in part by Phys.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.117.897· OSTI ID:4191800

Lee, T D; Yang, C N

The formulation of the author's previous paper is extended so that it becomes applicable in an interacting system in the presence of a Bose-Einstein degeneracy. This extension is carried out by the introduction of an x-ensemble, which enables one to utilize an Ursell-type expansion even in the presence of a Bose-Einstein degeneracy. The variational principle of the previous paper is also extended. It is proved that in the presence of a Bose-Einstein degeneracy, the average occupation number of a single particle state with momentum p approaches infinity as p yields 0. The method is applied to a dilute system of Bose hard spheres. (auth)

• Research Organization: Columbia Univ., New York, NY (United States); Institute for Advanced Study, Princeton, NJ (United States)
• NSA Number: NSA-14-013431
• OSTI ID: 4191800
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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, Vol. Vol: 117; Other Information: Orig. Receipt Date: 31-DEC-60
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

PHYSICS
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN STATISTICS
INTERACTIONS
MANY BODY PROBLEM
MATHEMATICS
MOMENTUM
QUANTUM MECHANICS
STATISTICS
SUPERFLUIDITY
VARIATIONAL PRINCIPLE
VARIATIONS