Solutions of the Klein-Gordon equation with the improved Rosen-Morse potential energy model

Tao Chen; Shu-Rong Lin; Chun-Sheng Jia

doi:10.1140/epjp/i2013-13069-1

EPJ

Solutions of the Klein-Gordon equation with the improved Rosen-Morse potential energy model

Tao Chen¹³⁶⁰, Shu-Rong Lin¹³⁶⁰ and Chun-Sheng Jia²³⁶⁰

¹³⁶⁰ Life and Physical Science College, Sichuan Agricultural University, 625014, Sichuan, People’s Republic of China
²³⁶⁰ State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, 610500, Chengdu, People’s Republic of China

Received: 25 April 2013
Revised: 16 May 2013
Accepted: 2 June 2013
Published online: 1 July 2013

Abstract

We solve the Klein-Gordon equation with the improved Rosen-Morse empirical potential energy model. The bound-state energy equation has been obtained by using the supersymmetric shape invariance approach. The relativistic vibrational transition frequencies for the

state of the Cs₂ molecule have been computed by using the improved Rosen-Morse potential model. The relativistic vibrational transition frequencies are in good agreement with the experimental RKR values and DPF values.