| 对称性簡并和非阿貝尔Berry相位因子 |
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| 引用本文： | 王剑波,刘登云.对称性簡并和非阿貝尔Berry相位因子[J].哈尔滨师范大学自然科学学报,1988(3). |
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| 作者姓名： | 王剑波 刘登云 |
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| 作者单位： | 山西师范大学，山西师范大学 |
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| 摘 要： | 本文回顾了物理体系能级简并与对称性的关系,指出简并态波函数必定伴有非平庸的复数相因子——固有(或本质)几何相因子,这种特性是包含在力学量完全集合的某个(非简并)厄密算符所起的某种变换生成元作用的结果。把这种思想推广到坐标化的参量空间引入类动量算符,容易得到体系沿一闭合曲线绝热演化后简并波函数的非阿贝尔Berry相位。
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| 关 键 词： | 连续对称变换 简并能量本征值 简并波函数 类动量算符 非阿贝尔 Berry相位 |
Symmetry Degeneracy and the Non-Abelian Berry Phase Factor |
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| Wang Jianbo Liu Dengyun.Symmetry Degeneracy and the Non-Abelian Berry Phase Factor[J].Natural Science Journal of Harbin Normal University,1988(3). |
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| Authors: | Wang Jianbo Liu Dengyun |
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| Institution: | Shanxi Normal University |
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| Abstract: | In this paper, the relation between the symmetry and the energy lev els degeneracy in a physical system is reviewed, and it points out that the degenerate wave-function mtst be accompanied by a nontriral complex phase factor---natural eoo et, ical phase factor. which is due to that some non-degenerate Hermitian Operator, contained in the complete set of conserved mechaLical quantitles, play a role of transformation generator. When this idea is extended to the parameter space and the momentum-like cperator is iLtroduced, the non-Abelian Berry phase faotor of degenerate wave-function will be easily got aiter the system evolvedalong a closed adiabatic; curve. |
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| Keywords: | Continuous symmetry transformation Degenerate energy eigenvalues Degenerate eigenfunction Generator Momentum-like operator Non-Abelian Berry phase |
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