Separable Structure of Many-Body Ground-State Wave Function

Details Separable Structure of Many-Body Ground-State Wave Function Separable Structure of Many-Body Ground-State Wave Function

2000-04-10

arxiv.org/abs/cond-mat/0004153v1

Physics

Condensed Matter

Soft Condensed Matter

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

Scientific paper

10.1088/0953-4075/33/19/305

We have investigated a general structure of the ground-state wave function for the Schr\"odinger 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.

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