Exact Solutions of the Klein--Gordon Equation with a New Anharmonic Oscillator Potential

Chin. Phys. Lett.

2005, Vol. 22

Issue (12): 2994-2996 DOI:

Original Articles

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

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ZHANG Min-Cang, WANG Zhen-Bang 2005 Chin. Phys. Lett. 22 2994-2996

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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.

Keywords: 03.65.Pm 03.65.-w

Published: 01 December 2005

PACS:	03.65.Pm	(Relativistic wave equations)
	03.65.-w	(Quantum mechanics)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2005/V22/I12/02994

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