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Molecular spinless energies of the improved Rosen-Morse potential energy model in D dimensions

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Abstract

Under the circumstance of equal scalar and vector potentials, we solve the Klein-Gordon equation with the improved Rosen-Morse potential energy model in D spatial dimensions. The relativistic bound state energy equation has been obtained by using the supersymmetric WKB approximation approach. For fixed vibrational quantum number and various rotational quantum numbers, the relativistic energies for the 33 Σ g + state of the Cs2 molecule and the 51 Δ g state of the Na2 molecule increase as D increases. We observe that the behavior of the relativistic vibrational energies in higher dimensions remains similar to that of the three-dimensional system.

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Authors and Affiliations

  1. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, 610500, Chengdu, People’s Republic of China

    Mao-Sen Tan & Chun-Sheng Jia

  2. College of Sciences, Southwest Petroleum University, 610500, Chengdu, People’s Republic of China

    Mao-Sen Tan

  3. Scientific Research Office, Southwest Petroleum Institute, 610500, Chengdu, People’s Republic of China

    Su He

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  1. Mao-Sen Tan
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  2. Su He
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  3. Chun-Sheng Jia
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Correspondence to Mao-Sen Tan.

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Tan, MS., He, S. & Jia, CS. Molecular spinless energies of the improved Rosen-Morse potential energy model in D dimensions. Eur. Phys. J. Plus 129, 264 (2014). https://doi.org/10.1140/epjp/i2014-14264-2

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  • DOI: https://doi.org/10.1140/epjp/i2014-14264-2

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