摘要
The ring-shaped oscillator potential,obtained by replacing the Coulomb part of the Hartmann potential by a harmonic oscillator term,was investigated.Under the equal vector potential and scalar potential,the Dirac equation was solved in spherical [0] coordinate.The exact energy spectrum of the bound states was presented as a solution to the confluent hypergeometric equation by boundary conditions.Furthermore,the normalized angular and radial wave functions were presented.
The ring-shaped oscillator potential, obtained by replacing the Coulomb part of the Hartmann potential by a harmonic oscillator term, was investigated. Under the equal vector potential and scalar potential, the Dirac equation was solved in spherical coordinate. The exact energy spectrum of the bound states was presented as a solution to the confluent hypergeometric equation by boundary conditions. Furthermore, the normalized angular and radial wave functions were presented.
基金
the Youth Foundation of Xi’an University of Architecture and Technology (No. QN0702)
关键词
狄拉克方程
振荡器
计算方法
电压
ring-shaped oscillator
bound solution
Dirac equation
confluent hypergeometric function
