The Global Minimum of the Effective Potential of the Many-Electron System with Delta-Interaction

Details The Global Minimum of the Effective Potential of the Many-Electron System with Delta-Interaction The Global Minimum of the Effective Potential of the Many-Electron System with Delta-Interaction

1998-10-13

arxiv.org/abs/math-ph/9810009v2

Rev. Math. Phys. 12, no.9, p.1259-1278, 2000

Physics

Mathematical Physics

18 pages, TeX

Scientific paper

We prove that the global minimum of the real part of the full effective potential of the many-electron system with attractive delta-interaction is in fact given by the BCS mean field configuration. This is a consequence of a simple bound which is obtained by applying Hadamard's inequality to the functional determinant. The second order Taylor expansion around the minimum is computed.

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