The Energy of a Trapped Interacting Bose Gas
Hualin Shi, Wei-Mou Zheng (ITP,Beijing)
TL;DR
This paper derives analytical expressions for the energy and chemical potential of an interacting Bose gas in a trapping potential using semi-classical approximation, aligning with recent experimental measurements.
Contribution
It provides new analytical formulas for the energy and chemical potential of trapped interacting Bose gases, extending understanding in this area.
Findings
Analytical energy expressions match experimental data qualitatively.
Derived chemical potential expression below critical temperature.
Semi-classical approximation effectively models trapped Bose gases.
Abstract
A Bose gas in an external potential is studied by means of the semi-classical approximation. Analytical results are derived for the energy of an interacting Bose gas in a generic power-law trapping potential. An expression for the chemical potential below the critical temperature is also obtained. The theoretical results are in qualitative agreement with a recent energy measurement.
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