2D Pauli Equation with Hulthen Potential in the Presence of Aharonov-Bohm Effect

被引：22

作者：

Ferkous, N. ^{[1
]}

Bounames, A. ^{[1
]}

机构：

[1] Univ Jijel, Dept Phys, Theoret Phys Lab, Ouled Aissa 18000, Jijel, Algeria

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2013年 / 59卷 / 06期

关键词：

Pauli equation; Hulthen potential; Aharonov-Bohm effect; Aharonov-Bohm coulomb problem; L-WAVE SOLUTIONS; ANALYTICAL APPROXIMATIONS; SCHRODINGER-EQUATION; SHAPE INVARIANCE; SPIN; SUPERSYMMETRY; SCATTERING; FERMIONS;

D O I：

10.1088/0253-6102/59/6/04

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The 2D Pauli equation with Hulthen potential for spin-1/2 particle in the presence of Aharonov-Bohm (AB) field is solved analytically, on the assumption that an effective approximation is used for the centrifugal term. Singular and regular solutions of the problem are obtained. It is shown that the AB field lifts the degeneracy of the energy levels. The range of the flux parameter for which singular solutions are allowed is modified compared to the pure AB case. When the screening parameter vanishes, it is shown that the obtained energy spectrum becomes the same as that of the Aharonov-Bohm Coulomb problem.

引用

页码：679 / 683

页数：5

共 49 条

[1] The Hulthen potential in D-dimensions [J].

Agboola, D. .

PHYSICA SCRIPTA, 2009, 80 (06)

[2] SIGNIFICANCE OF ELECTROMAGNETIC POTENTIALS IN THE QUANTUM THEORY [J].

AHARONOV, Y ;

BOHM, D .

PHYSICAL REVIEW, 1959, 115 (03) :485-491

[3] Any l-state solutions of the Hulthen potential by the asymptotic iteration method [J].

Bayrak, O. ;

Kocak, G. ;

Boztosun, I. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (37) :11521-11529

[4] Distortion of H-2 potentials by embedding into an electron gas at molecule scattering by a metal surface [J].

Bitensky, IS ;

Ferleger, VK ;

Wojciechowski, IA .

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION B-BEAM INTERACTIONS WITH MATERIALS AND ATOMS, 1997, 125 (1-4) :201-206

[5] FLUX-CARRYING FERMIONS AND THE 2ND VIRIAL-COEFFICIENT [J].

BLUM, T ;

HAGEN, CR ;

RAMASWAMY, S .

PHYSICAL REVIEW LETTERS, 1990, 64 (07) :709-712

[6]

Chakraborty T., 2012, QUANTUM HALL EFFECTS

[7]

Chetouani L, 1998, NUOVO CIMENTO B, V113, P81

[8] Relativistic Levinson theorem in two dimensions [J].

Dong, SH ;

Hou, XW ;

Ma, ZQ .

PHYSICAL REVIEW A, 1998, 58 (03) :2160-2167

[9] Exact solutions of the two-dimensional Schrodinger equation with certain central potentials [J].

Dong, SH .

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2000, 39 (04) :1119-1128

[10] Analytical approximations to the l-wave solutions of the Schrodinger equation with the Eckart potential [J].

Dong, Shi-Hai ;

Qiang, Wen-Chao ;

Sun, Guo-Hua ;

Bezerra, V. B. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (34) :10535-10540

← 1 2 3 4 5 →