Quesne环状球谐振子势场中的赝自旋对称性-陕西师范大学学报期刊社网站

陕西师范大学学报（自然科学版）

物理学

Quesne环状球谐振子势场中的赝自旋对称性

陈发堂１,薛琳娜２,张民仓３

(1 上海电力大学物理实验中心, 上海 200090; 2 延安大学物理学系, 陕西延安 716000; 3 陕西师范大学物理学与信息技术学院, 陕西西安 710062)

陈发堂,男,副教授,主要从事实验物理和基础物理研究．

摘要:

应用二分量方法,求解了Quesne环状球谐振子势场中1/2自旋粒子满足的Dirac方程,Dirac哈密顿量由标量和矢量Quesne环状球谐振子势构成.在Σ=S(r)+V(r)=0的条件下,得到了Dirac 旋量波函数下分量的束缚态解和能谱方程, 显示出Quesne环势场中的赝自旋对称性.讨论了束缚态波函数和能谱方程的有关性质.

关键词：

Quesne 势； Dirac 方程；赝自旋对称性；束缚态

收稿日期：

2008-09-10

中图分类号：

O4311

文献标识码：

文章编号：

1672-4291(2009)02-0038-04

基金项目：

Doi:

Quesne ring-shaped spherical harmonic oscillator potential and pseudospin symmetry

CHEN Fa-tang1, XUE Lin-na2, ZHANG Min-cang3

(1 Center of Physics Experement,Shanghai University of Electric Power, Shanghai 200090, China; 2 Department of Physics,Yan′an University,Yan′an 716000, Shaanxi, China; 3 College of Physics and Information Technology, Shaanxi Normal University, Xi′an 710062, Shaanxi, China)

Abstract:

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

KeyWords:

Quesne potential; Dirac equation; pseudospin symmetry; bound state