一类环状球谐振子势Klein-Gordon方程的束缚态解  

Bound state solutions of the Klein-Gordon equation with a new ring-shaped harmonic oscillator potential

作　　者：王振邦[1] 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,陕西西安710062

出　　处：《陕西师范大学学报（自然科学版）》2008年第2期50-53,共4页Journal of Shaanxi Normal University：Natural Science Edition

摘　　要：提出了一种新的环状球谐振子势.在标量势与矢量势相等条件下,应用因子分解方法,求解了零自旋粒子在其中满足的Klein-Gordon方程,得到了束缚态解和能谱方程.归一化角向波函数和径向波函数分别以初等函数表示,并用笛卡尔符号法则讨论了能谱方程.结果表明,粒子在这一势场中惟一地具有正的分立能量本征值.A new ring-shaped harmonic oscillator potential is proposed. Under the condition of equal scalar and vector potentials, the exact bound state solutions and the energy spectrum of the KleinGordon equation with this oscillator potential are obtained by the factorization method. It is shown that both the angular and radial wave functions are expressed in terms of the elementary functions respectively. The energy equation is analyzee with the Descarte＇s rule of signs and it is shown that for given values of M and n only discrete, positive energies are allowed.

关 键 词：环状球谐振子势 KLEIN-GORDON方程 因子分解方法 束缚态 

分 类 号：O413.3[理学—理论物理]