用相干态研究Sp(4)模型的基态相变The Ground State Phase Transition of the Sp(4) Model Via the Coherent State Methodology
王宜怀;杨亚天;
摘要(Abstract)：
本文利用相干态,通过求算子的微分表示方法,研究了同时考虑单极力和单极对力的Sp(4)模型的基态相变,提取了该模型的序参量,给出了与精确解相比误差小于5％的基态能量。
关键词(KeyWords)： 相干态;序参量;基态相变;算子;微分表示
基金项目(Foundation): 国家自然科学基金;; 福建省自然科学基金
作者(Authors): 王宜怀;杨亚天;
参考文献(References)：
- [1] Gilimore R, Feng D H. Phase transition in nuclear matter described by psedospin hamiltonians. Nucl. Phys., 1978, A301:189～204
- [2] Gilimore R, Feng D H. Studies of the ground-state properties of the Lipkin-Meshkov-Glick model via the atomic coherent states. Phys. Lett., 1978, 76B: 26～28
- [3] Feng D H et al. Phase transitions and the geometic properties of the interacting boson model. Phys. Rev., 1981, C23:1254～1258
- [4] Wu C L et al Fermion dynamical symmetry model of nuclei:Basis, Hamileonian, and symmetries. Phys. Rev., 1987, C36:1157～1180
- [5] Zhang W M et al. Geometrical structure and critical phenomena in the fermion dynamical symmetry model: SO(8) . Phys. Rev., 1988, C37: 1281～1294
- [6] Zhang W M et al. Geometrical structure and critical phenomena in the fermion dynamical symmetry model: Sp(6) . Phys. Rev., 1988, C38:1475～1487
- [7] Dobaczewski J. A unification of boson expansion theories. Nucl. Phys., 1981, A369:213～236
- [8] Agassi D. Validity of the BCS and RPA approximations in the pairing-plus-monopole solvable model. Nucl. Phys., 1968, A116:49～71
- [9] Bohr A, Mottelson B R. Nuclear Structure (Vol. 1) . New York: Benjamin, 1969． 170
- [10] Bohr A, Mottelson B R. Nuclear Structure (Vol. 2) . New York: Benjamin, 1975．