Eur. Phys. J. Plus (2014) 129: 75
https://doi.org/10.1140/epjp/i2014-14075-5

Regular Article

Solutions of the Klein-Gordon equation with the improved Manning-Rosen potential energy model in D dimensions

¹ State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, 610500, Chengdu, PRC
² School of Petroleum Engineering, Southwest Petroleum University, 610500, Chengdu, PRC
³ Life and Physical Science College, Sichuan Agricultural University, Yaan, 625014, Sichuan, PRC

^* e-mail: chenxyu@163.com

Received: 21 January 2014
Accepted: 13 March 2014
Published online: 28 April 2014

Abstract

We solve the Klein-Gordon equation with the improved Manning-Rosen potential energy model in D spatial dimensions. The relativistic bound state energy equation and the unnormalized radial wave functions have been obtained. For fixed vibrational quantum number and various rotational quantum numbers, the relativistic energies for the a ³ Σ _u ⁺ states of the ⁷Li₂ molecule increase as D increases. We observe that the change behavior of the relativistic vibrational energies in higher dimensions remains similar to that of the three-dimensional system.