To what extent does the self-consistent mean-field exist?
Nuclear Theory
2009-11-10 v4
Abstract
A non-convergent difficulty near level-repulsive region is discussed within the self-consistent mean-field theory. It is shown by numerical and analytic studies that the mean-field is not realized in the many-fermion system when quantum fluctuations coming from two-body residual interaction and quadrupole deformation are larger than an energy difference between two avoided crossing orbits. An analytic condition indicating a limitation of the mean-field concept is derived for the first time.
Cite
@article{arxiv.nucl-th/0407031,
title = {To what extent does the self-consistent mean-field exist?},
author = {Lu Guo and Fumihiko Sakata and En-Guang Zhao and J. A. Maruhn},
journal= {arXiv preprint arXiv:nucl-th/0407031},
year = {2009}
}