To what extent does the self-consistent mean-field exist?

Details To what extent does the self-consistent mean-field exist? To what extent does the self-consistent mean-field exist?

2004-07-09

arxiv.org/abs/nucl-th/0407031v4

Int. J. Mod. Phys. E15 (2006) 1141-1148

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1142/S0218301306004739

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.

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