Separable Structure of Many-Body Ground-State Wave Function

Abstract

We have investigated a general structure of the ground-state wave function for the Schrödinger equation for $N$ identical interacting particles (bosons or fermions) confined in a harmonic anisotropic trap in the limit of large $N$. It is shown that the ground-state wave function can be written in a separable form. As an example of its applications, this form is used to obtain the ground-state wave function describing collective dynamics for $N$ trapped bosons interacting via contact forces.

J. Phys. B: At. Mol. Opt. Phys. 33 (2000) (accepted for publication)

References in corpus (4)

• Theory of Bose-Einstein condensation in trapped gases
• Beyond the Thomas-Fermi approximation for a trapped condensed Bose-Einstein gas
• Effective Linear Two-Body Method for Many-Body Problems
• Equivalent Linear Two-Body Equations for Many-Body Systems

Cited by in corpus (1)

• Three particles in an external trap: Nature of the complete J=0 spectrum