EXACT ANALYSIS OF AN INTERACTING BOSE GAS. I. THE GENERAL SOLUTION AND THE GROUND STATE

Journal Article · Wed May 15 00:00:00 EDT 1963 · Physical Review (U.S.) Superseded in part by Phys.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.130.1605· OSTI ID:4717865

Lieb, E H; Liniger, W

A gas of one-dimensional Bose particles interacting via a repulsive delta function potential was soived exactly. All the eigenfunctions can be found explicitly and the energies are given by the solutions of a transcendental equation. The problem has one nontrivial coupling constant, gamma . When gamma is small, Bogoliubov's perturbation theory is seen to be ergy as a function of gamma is cals shown to be analytic for all gamma , except gamma = 0. (auth)

• Research Organization: International Business Machines Corp., Yorktown Heights, N.Y.
• NSA Number: NSA-17-022482
• OSTI ID: 4717865
• Journal Information: Physical Review (U.S.) Superseded in part by Phys.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: 130; Other Information: Orig. Receipt Date: 31-DEC-63
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

PHYSICS
BOGOLIUBOV METHOD
BOSONS
COUPLING CONSTANTS
DELTA FUNCTION
EIGENVALUES
ENERGY LEVELS
EQUATIONS
FIELD THEORY
INTERACTIONS
MATHEMATICS
PERTURBATION THEORY