Semiclassical treatment of an attractive inverse-square potential in an elastic medium with a disclination

被引：12

作者：

Bakke, K. ^{[1
]}

Furtado, C. ^{[1
]}

机构：

[1] Univ Fed Paraiba, Dept Fis, Caixa Postal 5008, BR-58051900 Joao Pessoa, Paraiba, Brazil

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2020年 / 17卷 / 12期

关键词：

Attractive inverse-square potential; induced electric dipole moment; WKB approximation; semiclassical approximation; disclination; Aharonov-Bohm effect; topological defects; QUANTUM-MECHANICS; BOUND-STATES; BLACK-HOLES; ATOMS; PHASE; RENORMALIZATION; APPROXIMATION; DISLOCATIONS; QUANTIZATION; SCATTERING;

D O I：

10.1142/S0219887820501789

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze the interaction of the induced electric dipole moment of a neutral particle with an electric field in elastic medium with a charged disclination from a semiclassical point of view. We show that the interaction of the induced electric dipole moment of a neutral particle with an electric field can yield an attractive inverse-square potential, where it is influenced by the topology of the disclination. Then, by using the Wentzel, Kramers and Brillouin approximation based on the Langer transformation, we show that the centrifugal term of the radial equation must be modified due to the influence of the topology of the disclination. Besides, we obtain the bound states solutions to the Schrodinger equation.

引用

页数：10

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