Semi-Classical Approach to the Two-Level Pairing Model --Various Aspects of Phase Change--

Details Semi-Classical Approach to the Two-Level Pairing Model --Various Aspects of Phase Change-- Semi-Classical Approach to the Two-Level Pairing Model --Various Aspects of Phase Change--

2006-10-19

arxiv.org/abs/nucl-th/0610073v1

Physics

Nuclear Physics

Nuclear Theory

21 pages, 8 figures but figs.6, 7 and 8 are not included, using PTPTeX.cls

Scientific paper

Aspects of the phase change of the two-level pairing model are investigated in the semi-classical treatment by using the variational approch with the mixed-mode coherent state. In the classical limit, $hbar \to 0$, the sharp phase transition appears and the two phases exist in the region where the force strength is larger than a certain critical value. However, it is shown that, in the semi-classical treatment, the above-mentioned behavior of the phase change disappears in the analytical and the numerical treatments. As a result, new understanding about aspects of the phase change in this model is given.

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