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Abstract
A Quesne-like ring-shaped spherical harmonic oscillator potential is put foword and studied for spin 1/2 particles based on the Dirac equation， the Dirac Hamiltonian contains a scalar and a vector Quesne-like ring-shaped harmonic oscillator potentials. Setting Σ＝S(r)+V(r)=0,we obtain the bound state solutions and eigenenergies with the two-component approach. The result shows the pseudospin symmetry exists in the Quesne-like ring-shaped harmonic oscillator potential. The general properties of both the ring-shaped spherical harmonic oscillator potential and the ring-shaped non-spherical harmonic oscillator potential are discussed.

Keywords:
Quesne-like ring-shaped harmonic oscillator potential/

Dirac equation/

pseudospin symmetry/

bound state
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Zhang Min-Cang

1.
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Cited By

[1]	Gao Jie, Zhang Min-Cang.Tridiagonal representation with pseudospin symmetry for a noncentral electric dipole and a ring-shaped anharmonic oscillator potential. Acta Physica Sinica, 2016, 65(2): 020301.doi:10.7498/aps.65.020301
[2]	Zhang Min-Cang.Pseudospin symmetry for a noncentral electric dipole ring-shaped potential in the tridiagonal representation. Acta Physica Sinica, 2012, 61(24): 240301.doi:10.7498/aps.61.240301
[3]	Zhang Min-Cang.A relativistic non-harmonic oscillator potential and pseudospin symmetry. Acta Physica Sinica, 2009, 58(1): 61-65.doi:10.7498/aps.58.61
[4]	Wei Gao-Feng, Long Chao-Yun, Qin Shui-Jie, Zhang Xin.Analytical approximations to the arbitrary l-wave bound state solutions of the Klein-Gordon equation for the Manning-Rosen potential. Acta Physica Sinica, 2008, 57(11): 6730-6735.doi:10.7498/aps.57.6730
[5]	Zhang Min-Cang, Wang Zhen-Bang.Bound state solutions of relativistic particles in a new ring-shaped non-harmonic oscillator potential. Acta Physica Sinica, 2007, 56(7): 3688-3692.doi:10.7498/aps.56.3688
[6]	Zhang Min-Cang, Wang Zhen-Bang.Bound states of relativistic particles in the second P?schl-Teller potentials. Acta Physica Sinica, 2006, 55(2): 525-528.doi:10.7498/aps.55.525
[7]	Zhang Min-Cang, Wang Zhen-Bang.Bound states of the Klein-Gordon equation and Dirac equation with the Manning-Rosen scalar and vector potentials. Acta Physica Sinica, 2006, 55(2): 521-524.doi:10.7498/aps.55.521
[8]	Zhang Min-Cang, Wang Zhen-Bang.Bound state solutions of the Dirac equation with the Makarov potentials. Acta Physica Sinica, 2006, 55(12): 6229-6233.doi:10.7498/aps.55.6229
[9]	Chen Zi-Dong, Chen Gang.Bound states solutions of the Klein-Gordon equation with Hartmann potential and recursion relations. Acta Physica Sinica, 2005, 54(6): 2524-2527.doi:10.7498/aps.54.2524
[10]	Li Ning, Ju Guo-Xing, Ren Zhong-Zhou.Bound states for a kind of relativistic non-harmonic oscillator systems. Acta Physica Sinica, 2005, 54(6): 2520-2523.doi:10.7498/aps.54.2520
[11]	Chen Gang.Bound states of relativistic particles in Rosen-Morse potential. Acta Physica Sinica, 2004, 53(3): 684-687.doi:10.7498/aps.53.684
[12]	Lu Fa-Lin, Chen Chang-Yuan.Bound states of Klein-Gordon equation for ring-shaped non-spherical harmonic oscillator potentials. Acta Physica Sinica, 2004, 53(6): 1652-1656.doi:10.7498/aps.53.1652
[13]	Chen Gang.Bound states for Dirac equation with Wood-Saxon potential. Acta Physica Sinica, 2004, 53(3): 680-683.doi:10.7498/aps.53.680
[14]	Zhang Jing-Yi.Entropy of Dirac field in a general spherically symmetric and charged evaporatin g black hole. Acta Physica Sinica, 2003, 52(9): 2354-2358.doi:10.7498/aps.52.2354
[15]	Chen Chang-Yuan, Liu Cheng-Lin, Lu Fa-Lin, Sun Dong-Sheng.Bound states of the Klein-Gordon equation with n-dimensional scalar and vect or hydrogen atom-type potentials. Acta Physica Sinica, 2003, 52(7): 1579-1584.doi:10.7498/aps.52.1579
[16]	Chen Gang, Lou Zhi-Mei.Bound states of relativistic particles in a potential with four parameters for d iatomic molecules. Acta Physica Sinica, 2003, 52(5): 1075-1078.doi:10.7498/aps.52.1075
[17]	Chen Gang, Lou Zhi-Mei.Bound states of relativistic particles in reflectionless-type potential. Acta Physica Sinica, 2003, 52(5): 1071-1074.doi:10.7498/aps.52.1071
[18]	Guo Jian-You.. Acta Physica Sinica, 2002, 51(7): 1453-1457.doi:10.7498/aps.51.1453
[19]	Ran Yang-Qiang, Xue Li-Hui, Hu Si-Zhu.. Acta Physica Sinica, 2002, 51(11): 2435-2439.doi:10.7498/aps.51.2435
[20]	CHEN GANG.BOUND STATES OF KLEIN-GORDON EQUATION AND DIRAC EQUATION FOR SCALAR AND VECTOR P?SCHL-TELLER-TYPE POTENTIALS. Acta Physica Sinica, 2001, 50(9): 1651-1653.doi:10.7498/aps.50.1651

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Vol. 58, Issue 2 - 2009-01-20

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