Variational Study of Ground State of a Bose-Einstein Fluid

Journal Article · Thu Feb 01 04:00:00 EST 1962 · Progress of Theoretical Physics (Kyoto)

DOI:https://doi.org/10.1143/PTP.27.342· OSTI ID:4831262

Hiroike, K.

Under the assumption that the gound-state wave function is expressed as a product of pair functions, the expectation value of the ground-state energy is rigorously expressed in terms of the pair distribution function. An integro- differential equation is derived for the pair distribution function from the variational principle that the expectation value of the energy is minimum. It is pointed out that the expression for the energy and the integro-differential equation become identical with those derived by Abe if the hyper-netted chain (HNC) approximation is introduced. It is proved that the HNC approximation is compatible with the virial theorem. The nature of the formulas is investigated by application to cases investigated by other theories. It is suggested that the present theory may, in general, predict the phonon-like excitations.

• Research Organization: Tokyo Inst. of Tech.
• Sponsoring Organization: USDOE
• NSA Number: NSA-16-018388
• OSTI ID: 4831262
• Journal Information: Progress of Theoretical Physics (Kyoto), Journal Name: Progress of Theoretical Physics (Kyoto) Journal Issue: 2 Vol. 27; ISSN 0033-068X
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN STATISTICS
BOSONS
DIFFERENTIAL EQUATIONS
DISTRIBUTION
ENERGY LEVELS
EXPECTATION VALUE
MATHEMATICS
PHYSICS
QUANTUM MECHANICS
STATISTICS
SUPERFLUIDITY
VARIATIONAL METHOD