Density of states for Bose-Einstein condensation in harmonic oscillator potentials

TL;DR

This paper presents an analytic method to accurately approximate the density of states for particles in anisotropic harmonic oscillator potentials, facilitating the study of Bose-Einstein condensation in trapped atomic gases.

Contribution

It introduces a purely analytic approach to compute the density of states, improving upon previous methods for systems in anisotropic harmonic traps.

Findings

Provides a reliable analytic approximation for the density of states.

Enables direct application to Bose-Einstein condensation studies.

Simplifies calculations compared to previous numerical methods.

Abstract

We discuss how it is possible to obtain a reliable approximation for the density of states for a system of particles in an anisotropic harmonic oscillator potential. A direct application of the result to study Bose-Einstein condensation of atomic gases in a potential trap can be given. In contrast to a previous study, our method involves only analytic calculations.