98-643 Detlef Lehmann

The Global Minimum of the Effective Potential of the Many-Electron System with Delta-Interaction (45K, TeX) Oct 14, 98

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Abstract. 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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