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

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dc.creatorLehmann, Detlef
dc.date1998-10-13
dc.date2002-02-06
dc.date.accessioned2026-07-07T04:32:33Z
dc.date.available2026-07-07T04:32:33Z
dc.descriptionWe 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.
dc.description18 pages, TeX
dc.identifierhttps://arxiv.org/abs/math-ph/9810009
dc.identifierhttp://arxiv.org/abs/math-ph/9810009
dc.identifierRev. Math. Phys. 12, no.9, p.1259-1278, 2000
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58231
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subject81T10; 81V70; 82D55; 81T08
dc.titleThe Global Minimum of the Effective Potential of the Many-Electron System with Delta-Interaction
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