Levinson theorem for Aharonov-Bohm scattering in two dimensions

被引：5
|
作者：
Sheka, Denis D. [1 ]
Mertens, Franz G.
机构：
[1] Natl Taras Shevchenko Univ Kiev, UA-03127 Kiev, Ukraine
[2] Univ Bayreuth, Inst Phys, D-95440 Bayreuth, Germany
来源：
PHYSICAL REVIEW A | 2006年 / 74卷 / 05期
关键词：
SOLITON; FERROMAGNET; POTENTIALS; MODES;
D O I：
10.1103/PhysRevA.74.052703
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We apply the recently generalized Levinson theorem for potentials with inverse-square singularities [Sheka , Phys. Rev. A 68, 012707 (2003)] to Aharonov-Bohm systems in two dimensions (2D). By this theorem, the number of bound states in a given mth partial wave is related to the phase shift and the magnetic flux. The results are applied to 2D soliton-magnon scattering.
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页数：5
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