Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1866262 | Physics Letters A | 2008 | 5 Pages |
Abstract
The chemical potential μ of a many-body system is valuable since it carries fingerprints of phase changes. Here, we summarize results for μ for a three-dimensional electron liquid in terms of average kinetic and potential energies per particle. The difference between μ and the energy per particle is found to be exactly the electrostatic potential step at the surface. We also present calculations for an integrable one-dimensional many-body system with delta function interactions, exhibiting a BCS–BEC crossover. It is shown that in the BCS regime the chemical potential can be expressed solely in terms of the ground-state energy per particle. A brief discussion is also included of the strong coupling BEC limit.
Keywords
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Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
K. Morawetz, N.H. March, R.H. Squire,