Equivalent Linear Two-Body Equations for Many-Body Systems

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.

12 pages, Latex

References in corpus (2)

• Macroscopic Quantum Tunneling of a Bose-Einstein Condensate with Attractive Interaction
• Stability of Solution of the Nonlinear Schrödinger Equation for the Bose-Einstein Condensation

Cited by in corpus (2)

• Ground-State of Charged Bosons Confined in a Harmonic Trap
• Separable Structure of Many-Body Ground-State Wave Function