The Global Minimum of the Effective Potential of the Many-Electron System with Delta-Interaction
Mathematical Physics
2007-05-23 v2 Statistical Mechanics
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/9810009,
title = {The Global Minimum of the Effective Potential of the Many-Electron System with Delta-Interaction},
author = {Detlef Lehmann},
journal= {arXiv preprint arXiv:math-ph/9810009},
year = {2007}
}
Comments
18 pages, TeX