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Energy spectrum of the Manning-Rosen potential including centrifugal term solved by exact and proper quantization rules

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Abstract

The energy spectrum of the Manning-Rosen potential including centrifugal term in higher dimensions is presented by exact quantization rule approach. The result is compared with that by proper quantization rule method. It is found that the latter is better than that of the exact quantization rule. We find that the interdimensional degeneracy exists for the states in different dimensions. For the special case D = 3, the results agree well with those obtained by other methods.

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Authors and Affiliations

  1. Department of Physics, East China University of Science and Technology, 200237, Shanghai, People’s Republic of China

    Xiao-Yan Gu

  2. Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edificio 9, Unidad Profesional Adolfo López Mateos, 07738, Mexico, DF, Mexico

    Shi-Hai Dong

Authors
  1. Xiao-Yan Gu
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  2. Shi-Hai Dong
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Correspondence to Shi-Hai Dong.

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Gu, XY., Dong, SH. Energy spectrum of the Manning-Rosen potential including centrifugal term solved by exact and proper quantization rules. J Math Chem 49, 2053–2062 (2011). https://doi.org/10.1007/s10910-011-9877-5

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  • DOI: https://doi.org/10.1007/s10910-011-9877-5

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