Publication Date
3-1998
Description
Bose–Einstein condensation is the anomalous accumulation of particles in the ground state of a system of bosons, when compared with the population in a system of particles obeying classical statistics. I use undergraduate-level statistical mechanics and a symbolic algebra computer program to study the occupation numbers of the energy levels of a finite number of noninteracting particles confined in a three-dimensional harmonic oscillator potential. I also calculate the heat capacity of the gas. The harmonic oscillator potential simplifies the calculations and approximates the conditions of the recent experiments achieving Bose–Einstein condensation in laser-cooled alkali vapors.
Journal
American Journal of Physics
Volume
66
Issue
3
First Page
185
Last Page
190
Department
Physics & Astronomy
Publisher Statement
Copyright 1998, American Association of Physics Teachers. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Association of Physics Teachers.
Link to Published Version
https://pubs.aip.org/aapt/ajp/article/66/3/185/1044868/Numerical-analysis-of-Bose-Einstein-condensation
DOI
doi.org/10.1119/1.18843
Recommended Citation
Ligare, Martin K.. "Numerical analysis of Bose-Einstein condensation in a three-dimensional harmonic oscillator potential." (1998) : 185-190.
Included in
Atomic, Molecular and Optical Physics Commons, Statistical, Nonlinear, and Soft Matter Physics Commons