Magnetic perturbations of anyonic and Aharonov-Bohm Schrodinger operators

被引：8
|
作者：
Correggi, Michele [1 ]
Fermi, Davide [2 ]
机构：
[1] Politecn Milan, Dipartimento Matemat, Pzza Leonardo Vinci 32, I-20133 Milan, Italy
[2] Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56126 Pisa, Italy
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2021年 / 62卷 / 03期
关键词：
D O I：
10.1063/5.0018933
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the Hamiltonian describing two anyons moving in a plane in the presence of an external magnetic field and identify a one-parameter family of self-adjoint realizations of the corresponding Schrodinger operator. We also discuss the associated model describing a quantum particle immersed in a magnetic field with a local Aharonov-Bohm singularity. For a special class of magnetic potentials, we provide a complete classification of all possible self-adjoint extensions. Published under license by AIP Publishing.
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页数：24
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