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中文摘要：
利用量子力学中的基本对称性理论,研究轴对称变形势和非轴对称变形势中能级的简并度与体系对称性的关系.在量子理论中,粒子能级的简并度往往与体系Hamiltonian量的某种对称性相联系.随着势的变化,体系的对称性也发生相应变化,能级的简并度可能增大,也可能被破坏或完全消除.通过理论分析,得出引起体系能级简并度发生变化的理论依据是对称性破缺.
英文摘要：
In this paper, we use the symmetrical theory in the quantum mechanics to analyze how the system＇s symmetry affects the energy- level degeneracy in axial symmetry deformed potential and non- ax- ial symmetry deformed potential in the nuclear shell model. According to the theory in the quantum mechanics, the symmetry of the quantum system＇s Hamiltonian does matter to the particle＇s energy - level degeneracy. Along with the change of the system＇s symmetry brought by potential＇s change,the particle＇s energy - level degeneracy has been increased or broken, even eliminated. By analyzing, we have learned that the theoretical foundation which may change the system＇s energy - level degeneracy is the breaking of symmetry.
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