Equivalent Linear Two-Body Equations for Many-Body Systems

Alexander L. Zubarev; Yeong E. Kim

doi:10.1016/s0375-9601(99)00717-3

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arXiv · cond-mat/9901190

Equivalent Linear Two-Body Equations for Many-Body Systems

Alexander L. Zubarev·Yeong E. Kim

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Abstract

A method has been developed for obtaining equivalent linear two-body equations (ELTBE) for the system of many ($N$) 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.

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Alexander L. Zubarev, Yeong E. Kim. 1999-01-19. Equivalent Linear Two-Body Equations for Many-Body Systems. https://doi.org/10.1016/s0375-9601(99)00717-3

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