Hidden superconformal symmetry of the spinless Aharonov-Bohm system

被引:14
作者
Correa, Francisco [1 ,2 ]
Falomir, Horacio [3 ]
Jakubsky, Vit [1 ,4 ]
Plyushchay, Mikhail S. [1 ]
机构
[1] Univ Santiago Chile, Dept Fis, Santiago 2, Chile
[2] Ctr Estudios Cient, Valdivia, Chile
[3] Univ Nacl La Plata, Fac Ciencias Exactas, Dept Fis, CONICET,IFLP, RA-1900 La Plata, Buenos Aires, Argentina
[4] Acad Sci Czech Republ, Inst Nucl Phys, CZ-25068 Rez, Czech Republic
关键词
SELF-ADJOINT EXTENSIONS; ELECTROMAGNETIC POTENTIALS; NONLINEAR SUPERSYMMETRY; CONTACT INTERACTIONS; CHARGED-PARTICLE; COSMIC STRINGS; MAGNETIC-FIELD; SCATTERING; PHASE; MECHANICS;
D O I
10.1088/1751-8113/43/7/075202
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A hidden supersymmetry is revealed in the spinless Aharonov-Bohm problem. The intrinsic supersymmetric structure is shown to be intimately related to the scale symmetry. As a result, a bosonized superconformal symmetry is identified in the system. Different self-adjoint extensions of the Aharonov-Bohm problem are studied in the light of this superconformal structure and interacting anyons. The scattering problem of the original Aharonov-Bohm model is discussed in the context of the revealed supersymmetry.
引用
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页数:27
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