Effective Linear Two-Body Method for Many-Body Problems

Details Effective Linear Two-Body Method for Many-Body Problems Effective Linear Two-Body Method for Many-Body Problems

1999-06-16

arxiv.org/abs/cond-mat/9906258v1

Physics

Condensed Matter

28 pages

Scientific paper

10.1088/0953-4075/33/1/306

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.

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