| Landau态函数与规范不变原理 |
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| 引用本文： | 冯新堂,李春芳.Landau态函数与规范不变原理[J].山西大学学报(自然科学版),1997,20(2):174-179. |
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| 作者姓名： | 冯新堂 李春芳 |
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| 作者单位： | 晋东南师专教务处(冯新堂)，上海大学物理系(李春芳) |
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| 摘 要： | 文章指出在均匀磁场中带电粒子的量子运动不违反规范不变原理。首先通过选取适当的力学量完全集——Ｈａｍｉｌｔｏｎ量和任一圆心坐标算符——指出，在三种常用规范下Ｓｃｈｒｄｉｎｇｅｒ方程的本征态函数之间仅相差一个规范相因子。其次指出了文献［１］在这个问题上得出错误结论的根源，并分析了Ｌａｎｄａｕ态函数在物理上的合理性
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| 关 键 词： | 规范不变原理，均匀磁场，Landau态函数，圆心坐标算符 |
LANDAU STATE FUNCTIONS AND THEGAUGE INVARIANCE PRINCIPLE |
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| Fen Xintaong.LANDAU STATE FUNCTIONS AND THEGAUGE INVARIANCE PRINCIPLE[J].Journal of Shanxi University (Natural Science Edition),1997,20(2):174-179. |
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| Authors: | Fen Xintaong |
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| Abstract: | It is pointed out that the quantum motion of charged particles in uniform magnetic field does not violate the gauge invariance principle. By choosing proper complete set of commutative observables-Hamiltonian and any one of coordinate center operators, it is found that the only difference among the eigenfunctions of Schrdinger's equation under three common-used gauges is a gauge phase factor. Besides, the origin of mistake of article on this problem is pointed out and the physical rationality of Landau state functions is analysed |
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| Keywords: | gauge invariance principle uniform magnetic field Landau's state function coordinate center operators |
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