Solving Dirac Equation with New Ring-Shaped Non-Spherical Harmonic Oscillator Potential

被引：0

作者：

Hu Xian-Quan ^{[1
]}

Luo Guang ^{[1
]}

Wu Zhi-Min ^{[1
]}

Niu Lian-Bin ^{[1
]}

Ma Yan ^{[1
]}

机构：

[1] Chongqing Normal Univ, Coll Phys & Technol Informat, Chongqing 400047, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2010年 / 53卷 / 02期

基金：

中国国家自然科学基金;

关键词：

ring-shaped non-harmonic oscillator potential; Dirac equation; bound state; generalized associated-Legendre function; KLEIN-GORDON EQUATION; BOUND-STATES; SCHRODINGER-EQUATION; VECTOR; SCALAR;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new ring-shaped non-harmonic oscillator potential is proposed. The precise bound solution of Dirac equation with the potentialis gained when the scalar potential is equal to the vector potential. The angular equation and radial equation are obtained through the variable separation method. The results indicate that the normalized angle wave function can be expressed with the generalized associated-Legendre polynomial, and the normalized radial wave function can be expressed with confluent hypergeometric function. And then the precise energy spectrum equations are obtained. The ground state and several low excited states of the system are solved. And those results are compared with the non-relativistic effect energy level in Phys. Lett. A 340 (2005) 94. The positive energy states of system are discussed and the conclusions are made properly.

引用

页码：242 / 246

页数：5

共 29 条

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