A new approach to treat the problems of trapped ideal gases

作者:Su Guozhen*; Cai Yanhua; Chen Jincan
来源:Journal of Physics A-Mathematical and Theoretical, 2009, 42(12): 125003.
DOI:10.1088/1751-8113/42/12/125003

摘要

By comparing the thermodynamic properties of ideal atomic gases in a power-law potential and in a rigid box, it is found that the power-law potential is equivalent to the rigid box as far as the macroscopic behaviors of the system are concerned. The dimensionality and volume of the equivalent box are dependent on the parameters charactering the power-law potential. This equivalent relation enables us to treat a trapped ideal gas as a free one, and consequently, several useful conclusions of the trapped-gas system can be easily derived from the corresponding results of the free-gas system.

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