Effective Linear Two-Body Method for Many-Body Problems
Condensed Matter
2009-10-31 v1
Abstract
This paper reports a detailed description of the equivalent linear two-body method for the many body problem, which is based on an approximate reduction of the many-body Schroedinger equation by the use of a variational principle. To test the accuracy of the method it 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 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/9906258,
title = {Effective Linear Two-Body Method for Many-Body Problems},
author = {Yeong E. Kim and Alexander L. Zubarev},
journal= {arXiv preprint arXiv:cond-mat/9906258},
year = {2009}
}
Comments
28 pages