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.

引用

页数：5

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