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

Xiao Yan Gu, Shi Hai Dong

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61 Citations (Scopus)

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. © 2011 Springer Science+Business Media, LLC.
Original languageAmerican English
Pages (from-to)2053-2062
Number of pages1846
JournalJournal of Mathematical Chemistry
DOIs
StatePublished - 1 Oct 2011

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Energy Spectrum
Quantization
Term
energy
Industry
Degeneracy
Higher Dimensions
method
science

Cite this

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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. {\circledC} 2011 Springer Science+Business Media, LLC.",
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