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Improved Analytical Approximations to the Scattering Solutions of the Schrdinger Equation with a Hyperbolical Potential

Improved Analytical Approximations to the Scattering Solutions of the Schrdinger Equation with a Hyperbolical Potential
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摘要 Using an improved approximate formula to the centrifugal term, we present arbitrary l-state scattering solutions of the hyperbolic potential. The approximate analytical formula of scattering phase shifts and normalized wavefunctions are presented. All data calculated by the above approximate analytical formula are compared with those obtained by using the numerical integration method in the scattering state cases. We find that this improved approximate formula is better than previous one since the calculated results are in good agreement with those exact ones. Using an improved approximate formula to the centrifugal term, we present arbitrary l-state scattering solutions of the hyperbolic potential. The approximate analytical formula of scattering phase shifts and normalized wavefunctions are presented. All data calculated by the above approximate analytical formula are compared with those obtained by using the numerical integration method in the scattering state cases. We find that this improved approximate formula is better than previous one since the calculated results are in good agreement with those exact ones.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2014年第9期315-319,共5页 理论物理通讯(英文版)
基金 Supported by the National Natural Science Foundation of China under Grant No.11275165 the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province,China under Grant No.11KJD430007 Jiangsu Overseas Research and Training Program for University Prominent Young and Middle-aged Teachers and Presidents
关键词 HYPERBOLIC POTENTIAL SCATTERING SOLUTIONS analytical APPROXIMATIONS hyperbolic potential scattering solutions analytical approximations
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参考文献5

  • 1Amlan K. Roy.Studies on the Bound-State Spectrum of Hyperbolic Potential[J].Few-Body Systems.2014(2)
  • 2C. A. Onate,K. J. Oyewumi,B. J. Falaye.Approximate Solutions of the Schr?dinger Equation with the Hyperbolical Potential: Supersymmetric Approach[J].Few-Body Systems.2014(1)
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  • 4Ping-Quan Wang,Lie-Hui Zhang,Chun-Sheng Jia,Jian-Yi Liu.Equivalence of the three empirical potential energy models for diatomic molecules[J].Journal of Molecular Spectroscopy.2012
  • 5Cüneyt Berkdemir.Ro-vibrating energy states of a diatomic molecule in an empirical potential[J].Journal of Mathematical Chemistry.2009(2)

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