Equivalent Linear Two-Body Equations for Many-Body Systems
Condensed Matter
2009-10-31 v1
Abstract
A method has been developed for obtaining equivalent linear two-body equations (ELTBE) for the system of many () bosons using the variational principle. The method has been applied to the one-dimensional N-body problem with pair-wise contact interactions (McGurie-Yang N-body problem) and to the dilute Bose-Einstein condensation (BEC) of atoms in anisotropic harmonic traps at zero temperature. For both cases, it is shown that the method gives excellent results for large N.
Cite
@article{arxiv.cond-mat/9901190,
title = {Equivalent Linear Two-Body Equations for Many-Body Systems},
author = {Alexander L. Zubarev and Yeong E. Kim},
journal= {arXiv preprint arXiv:cond-mat/9901190},
year = {2009}
}
Comments
12 pages, Latex