Equivalent linear two-body equations for many-body systems

✍ Scribed by Alexander L. Zubarev; Yeong E. Kim

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 64 KB
• Volume: 263
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00717-3

✦ Synopsis

A method has been developed for obtaining equivalent linear two-body ELTB equations 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 Ž . Ž . 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.