Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas

Shina Tan

doi:10.1016/j.aop.2008.03.003

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arXiv · 0803.0841

Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas

Shina Tan

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Abstract

For a two-component Fermi gas in the unitarity limit (ie, with infinite scattering length), there is a well-known virial theorem, first shown by J. E. Thomas et al, Phys. Rev. Lett. 95, 120402 (2005). A few people rederived this result, and extended it to few-body systems, but their results are all restricted to the unitarity limit. Here I show that there is a generalized virial theorem for FINITE scattering lengths. I also generalize an exact result concerning the pressure, first shown in cond-mat/0508320, to the case of imbalanced populations.

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Shina Tan. 2008-03-06. Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas. https://doi.org/10.1016/j.aop.2008.03.003

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