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

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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.
18 pages, TeX

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Mathematical Physics, Statistical Mechanics, 81T10; 81V70; 82D55; 81T08

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http://salesiana.dossiersoluciones.com/handle/123456789/58231

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/9810009
 http://arxiv.org/abs/math-ph/9810009
 Rev. Math. Phys. 12, no.9, p.1259-1278, 2000

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arXiv