On the Aharonov-Bohm Hamiltonian

被引：103
|
作者：
Adami, R [1 ]
Teta, A
机构：
[1] SISSA, I-34014 Trieste, Italy
[2] Univ Rome La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
来源：
LETTERS IN MATHEMATICAL PHYSICS | 1998年 / 43卷 / 01期
关键词：
Hamiltonians; Aharonov-Bohm effect; theory of self-adjoint extensions;
D O I：
10.1023/A:1007330512611
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Using the theory of self-adjoint extensions, we construct all the possible Hamiltonians describing the nonrelativistic Aharonov-Bohm effect. In general, the resulting Hamiltonians are not rotationally invariant so that the angular momentum is not a constant of motion. Using an explicit formula for the resolvent, we describe the spectrum and compute the generalized eigenfunctions and the scattering amplitude.
引用
收藏
页码：43 / 53
页数：11
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