磁性大象上的跳
Pavel Exner1,2, Léo Morin3
1Doppler Institute for Mathematical Physics and Applied Mathematics, Czech Technical University, Břehová 7, 11519 Prague, Czechia.
概括
一个小的对称性违规会大大改变磁性的拉普拉斯特征函数. 即使是微小的不对称性也将波函数集中到单个井中,反映了在施罗丁格运算符中看到的效应.
科学领域:
- 量子力学就是量子力学.
- 数学物理学的数学物理.
- 频谱理论是一种光谱理论.
背景情况:
- 磁性拉普拉西安的光谱属性受到磁井之间的道结构的影响.
- 在带有薄弱道的对称系统中,固有函数通常会在井间脱局.
研究的目的:
- 为了研究对称性违反对2D磁性拉普拉斯两井自函数的影响.
- 为了证明'大象上的跳'效应的磁性对应物.
主要方法:
- 分析一个二维磁性拉普拉西安.
- 对于光谱属性的扰动理论.
主要成果:
- 一个指数小的对称性违规导致固有函数定位在一个单一的井.
- 这种局部化即使在道挖掘较弱,井几乎对称的情况下也会发生.
结论:
- 对称性破坏对磁系统中自身函数的局部化有着深刻的影响.
- 这项研究揭示了量子力学中已知的现象的纯磁类比.
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