Variational Study of Ground State of a Bose-Einstein Fluid
Open Access
- 1 February 1962
- journal article
- Published by Oxford University Press (OUP) in Progress of Theoretical Physics
- Vol. 27 (2) , 342-360
- https://doi.org/10.1143/ptp.27.342
Abstract
Under the assumption that the ground-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 applying them to some cases that have been investigated by other theories. It is suggested that the present theory may in general predict the phonon-like excitations.Keywords
This publication has 2 references indexed in Scilit:
- A variational method for the ground state of a Bose fluidProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1960
- LI. The zero-point energy of a system of particlesJournal of Computers in Education, 1949