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arXiv math-ph/0502036math-phmath.MPmath.SP
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奇异磁场下Pauli算子不同自伴扩张的Aharonov-Casher公式

On the Aharonov-Casher formula for different self-adjoint extensions of the Pauli operator with singular magnetic field

Mikael Persson

摘要:

研究了自旋为1/2且具有奇异磁场的二维量子系统的两种不同的自伴泡利扩张。证明了最大Pauli扩张的Aharonov-Casher型公式,并证明了该扩张可以用更规则的磁场所对应的算子来近似.

英文摘要:

Two different self-adjoint Pauli extensions describing a spin-1/2 two-dimensional quantum system with singular magnetic field are studied. An Aharonov-Casher type formula is proved for the maximal Pauli extension and it is also checked that this extension can be approximated by operators corresponding to more regular magnetic fields.

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