Solutions of the Dirac equation with the Morse potential energy model in higher spatial dimensions

2016 ◽  
Vol 131 (4) ◽  
Author(s):  
Peng Zhang ◽  
Hui-Cheng Long ◽  
Chun-Sheng Jia
Keyword(s):  
Dirac Equation ◽  
Potential Energy ◽  
Morse Potential ◽  
Energy Model ◽  
Spatial Dimensions

Molecular spinless energies of the modified Rosen–Morse potential energy model in higher spatial dimensions

2015 ◽  
Vol 619 ◽  
pp. 54-60 ◽  
Author(s):  
Chun-Sheng Jia ◽  
Jian-Wei Dai ◽  
Lie-Hui Zhang ◽  
Jian-Yi Liu ◽  
Guang-Dong Zhang
Keyword(s):  
Potential Energy ◽  
Morse Potential ◽  
Energy Model ◽  
Spatial Dimensions

Solutions of the Dirac equation with an improved expression of the Rosen–Morse potential energy model including Coulomb-like tensor interaction

2013 ◽  
Vol 91 (9) ◽  
pp. 689-695 ◽  
Author(s):  
Ekele V. Aguda
Keyword(s):  
Dirac Equation ◽  
Potential Energy ◽  
Analytical Solutions ◽  
Morse Potential ◽  
Analytical Approach ◽  
Pseudospin Symmetry ◽  
Tensor Interaction ◽  
Energy Model ◽  
Approximate Analytical Solutions ◽  
Uvarov Method

In this study, we obtain the approximate analytical solutions of the Dirac equation for an improved expression of the Rosen–Morse potential energy model including the Coulomb-like tensor under the condition of spin and pseudospin symmetry. The analytical approach of parametric generalization of the Nikiforov–Uvarov method has been applied to the problem and the problem is discussed in a quite detailed manner.

Molecular energies of the improved Rosen−Morse potential energy model

2014 ◽  
Vol 92 (1) ◽  
pp. 40-44 ◽  
Author(s):  
Jian-Yi Liu ◽  
Xue-Tao Hu ◽  
Chun-Sheng Jia
Keyword(s):  
Potential Energy ◽  
Morse Potential ◽  
Vibrational Energy ◽  
Energy Levels ◽  
Energy Model ◽  
Wave Functions ◽  
Radial Wave ◽  
Empirical Potential ◽  
Interaction Potential Energy ◽  
Vibrational Energy Levels

We solve the Schrödinger equation with the improved Rosen−Morse empirical potential energy model. The rotation-vibrational energy spectra and the unnormalized radial wave functions have been obtained. The interaction potential energy curves for the 33Σg+ state of the Cs2 molecule and the 51Δg state of the Na2 molecule are modeled by employing the improved Rosen−Morse potential and the Morse potential. Favourable agreement for the improved Rosen−Morse potential is found in comparing with the Rydberg−Klein−Rees potential. The vibrational energy levels predicted by using the improved Rosen−Morse potential for the 33Σg+ state of Cs2 and the 51Δg state of Na2 are in better agreement with the Rydberg−Klein−Rees data than the predictions of the Morse potential.

Equivalence of the deformed Rosen–Morse potential energy model and Tietz potential energy model

2013 ◽  
Vol 51 (8) ◽  
pp. 2165-2172 ◽  
Author(s):  
Chun-Sheng Jia ◽  
Tao Chen ◽  
Liang-Zhong Yi ◽  
Shu-Rong Lin
Keyword(s):  
Potential Energy ◽  
Morse Potential ◽  
Energy Model ◽  
Tietz Potential

scholarly journals Molecular Spinless Energies of the Modified Rosen-Morse Potential Energy Model

2014 ◽  
Vol 35 (9) ◽  
pp. 2699-2703 ◽  
Author(s):  
Chun-Sheng Jia ◽  
Xiao-Long Peng ◽  
Su He
Keyword(s):  
Potential Energy ◽  
Morse Potential ◽  
Energy Model
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