类Quesne环状球谐振子势场中的赝自旋对称性  

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

作　　者：张民仓[1] 

机构地区：[1]陕西师范大学物理学与信息技术学院,西安710062

出　　处：《物理学报》2009年第2期712-716,共5页Acta Physica Sinica

摘　　要：提出了一种新的类Quesne环状球谐振子势,应用二分量方法求解1/2-自旋粒子满足的Dirac方程,Dirac哈密顿量由标量和矢量类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,显示出类Quesne环状球谐振子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.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.

关 键 词：类Quesne环状球谐振子势 DIRAC方程 赝自旋对称性 束缚态 

分 类 号：O413.1[理学—理论物理]