Exact Solutions of the Klein--Gordon Equation with a New Anharmonic Oscillator Potential
ZHANG Min-Cang, WANG Zhen-Bang
School of Physics and Information Technology, Shaanxi Normal University, Xi’an 710062
Exact Solutions of the Klein--Gordon Equation with a New Anharmonic Oscillator Potential
ZHANG Min-Cang;WANG Zhen-Bang
School of Physics and Information Technology, Shaanxi Normal University, Xi’an 710062
关键词 ：
03.65.Pm ,
03.65.-w
Abstract ： We solve the Klein--Gordon equation with a new anharmonic oscillator potential and present the exact solutions. It is shown that under the condition of equal scalar and vector potentials, the Klein--Gordon equation could be separated into an angular equation and a radial equation. The angular solutions are the associated-Legendre polynomial and the radial solutions are expressed in terms of the confluent hypergeometric functions. Finally, the energy equation is obtained from the boundary condition satisfied by the radial wavefunctions.
Key words ：
03.65.Pm
03.65.-w
出版日期: 2005-12-01
引用本文:
ZHANG Min-Cang;WANG Zhen-Bang. Exact Solutions of the Klein--Gordon Equation with a New Anharmonic Oscillator Potential[J]. 中国物理快报, 2005, 22(12): 2994-2996.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2005/V22/I12/2994
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