{"title":"Quesne-like ring-shaped spherical harmonic oscillator potential and pseudospin symmetry","authors":"Zhang Min-Cang","doi":"10.7498/aps.58.712","DOIUrl":null,"url":null,"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.","PeriodicalId":17047,"journal":{"name":"Journal of Shaanxi Normal University","volume":"20 1","pages":"712-716"},"PeriodicalIF":0.0000,"publicationDate":"2009-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Shaanxi Normal University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7498/aps.58.712","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
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.
基于狄拉克方程，提出并研究了自旋为1/2粒子的类quese环形球谐子势，狄拉克哈密顿量包含一个标量和一个矢量类quese环形谐振子势。设Σ = S (r)+V(r)=0，用双分量法得到束缚态解和特征能。结果表明，类quesne环形谐振子势中存在赝自旋对称性。讨论了环形球面谐振子势和环形非球面谐振子势的一般性质。
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