SOME ASPECTS OF CORRELATION IN MANY-PARTICLE SYSTEMS
Abstract
An expansion is given for the ground-state energy of a system of interacting Bose particles, using Rayleigh-Schrodinger pertubation theory with the scattering part of the interaction as the pertubation. The result in second order reproduces the energy shift found by various authors. The energy spectrum of the zero-order Hamiltonian contains a gap of magnitude shown by the Fourier transform of the two-particle interaction. This gap removes the third-order divergence resulting when the entire interaction is used as the pertubation. The structure factor, computed to first order, is in qualitative agreement with experiment for large momentum values. For nonzero temperature, expressions are obtained for the depletion of the zero-momentum mode and the specific heat, using the zero-order Hamiltonian. The specific heat exhibits a discontinuity at the critical point. Quantitative estimates for the magnitude of the specific heat at the critical point yield results which are in fair agreement with empirical values for liquid helium.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1965
- Accession Number
- AD0464145
Entities
People
- Allen Miller
Organizations
- Syracuse University