Quesne-like ring-shaped spherical harmonic oscillator potential and pseudospin symmetry

Zhang Min-Cang

doi:10.7498/aps.58.712

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
Authors and contacts
Zhang Min-Cang

1.
陕西师范大学物理学与信息技术学院，西安 710062
References

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
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[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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Quesne-like ring-shaped spherical harmonic oscillator potential and pseudospin symmetry

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