Effects of external fields on two-dimensional Klein–Gordon particle under pseudo-harmonic oscillator interaction

doi:10.1088/1674-1056/21/11/110302

中国物理B ›› 2012, Vol. 21 ›› Issue (11): 110302-110302.doi: 10.1088/1674-1056/21/11/110302

Effects of external fields on two-dimensional Klein–Gordon particle under pseudo-harmonic oscillator interaction

Sameer M. Ikhdair^a, Majid Hamzavi^b

a Physics Department, Near East University, Nicosia 922022, Turkey;
b Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran

收稿日期:2012-04-05 修回日期:2012-05-02 出版日期:2012-10-01 发布日期:2012-10-01

Effects of external fields on two-dimensional Klein–Gordon particle under pseudo-harmonic oscillator interaction

Sameer M. Ikhdair^a, Majid Hamzavi^b

a Physics Department, Near East University, Nicosia 922022, Turkey;
b Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran

Received:2012-04-05 Revised:2012-05-02 Online:2012-10-01 Published:2012-10-01
Contact: Majid Hamzavi E-mail:majid.hamzavi@gmail.com

摘要/Abstract

摘要： We study the effects of the perpendicular magnetic and Aharonov-Bohm (AB) flux fields on the energy levels of a two-dimensional (2D) Klein-Gordon (KG) particle subjected to equal scalar and vector pseudo-harmonic oscillator (PHO). We calculate the exact energy eigenvalues and normalized wave functions in terms of chemical potential parameter, magnetic field strength, AB flux field, and magnetic quantum number by means of the Nikiforov-Uvarov (NU) method. The non-relativistic limit, PHO, and harmonic oscillator solutions in the existence and absence of external fields are also obtained.

关键词: Klein-Gordon equation, two-dimensional pseudo-harmonic oscillator (PHO) potential, magnetic and Aharonov-Bohm (AB) flux fields, Nikiforov-Uvarov method

Abstract: We study the effects of the perpendicular magnetic and Aharonov-Bohm (AB) flux fields on the energy levels of a two-dimensional (2D) Klein-Gordon (KG) particle subjected to equal scalar and vector pseudo-harmonic oscillator (PHO). We calculate the exact energy eigenvalues and normalized wave functions in terms of chemical potential parameter, magnetic field strength, AB flux field, and magnetic quantum number by means of the Nikiforov-Uvarov (NU) method. The non-relativistic limit, PHO, and harmonic oscillator solutions in the existence and absence of external fields are also obtained.

Key words: Klein-Gordon equation, two-dimensional pseudo-harmonic oscillator (PHO) potential, magnetic and Aharonov-Bohm (AB) flux fields, Nikiforov-Uvarov method

中图分类号: (Quantum mechanics)

03.65.-w

03.65.Pm (Relativistic wave equations) 03.65.Ge (Solutions of wave equations: bound states)

Sameer M. Ikhdair, Majid Hamzavi . Effects of external fields on two-dimensional Klein–Gordon particle under pseudo-harmonic oscillator interaction[J]. 中国物理B, 2012, 21(11): 110302-110302.

Sameer M. Ikhdair, Majid Hamzavi. Effects of external fields on two-dimensional Klein–Gordon particle under pseudo-harmonic oscillator interaction[J]. Chin. Phys. B, 2012, 21(11): 110302-110302.

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Effects of external fields on two-dimensional Klein–Gordon particle under pseudo-harmonic oscillator interaction

Effects of external fields on two-dimensional Klein–Gordon particle under pseudo-harmonic oscillator interaction

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