Physics – Condensed Matter
Scientific paper
1999-06-16
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.
Kim Yeong E.
Zubarev Alexander L.
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