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Bound state solutions to the Schrödinger equation for some diatomic molecules

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Abstract

The bound state solutions to the radial Schrödinger equation are obtained in three-dimensional space using the series expansion method within the framework of a general interaction potential. The energy eigenvalues of the pseudoharmonic and Kratzer potentials are given as special cases. The obtained analytical results are applied to several diatomic molecules, i.e. \(\mathrm {N}_2, \mathrm {CO}, \mathrm {NO}\) and \(\mathrm {CH}\). In order to check the accuracy of the present method, a comparison is made with similar results obtained in the literature by using other techniques.

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Acknowledgements

Richa Rani acknowledges the University Grants Commission (UGC), New Delhi (India) for granting financial support through the UGC-BSR fellowship.

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Authors and Affiliations

  1. Department of Physics, Kurukshetra University, Kurukshetra, 136 119, India

    Richa Rani, S B Bhardwaj & Fakir Chand

Authors
  1. Richa Rani
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  2. S B Bhardwaj
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  3. Fakir Chand
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Correspondence to Fakir Chand.

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Rani, R., Bhardwaj, S.B. & Chand, F. Bound state solutions to the Schrödinger equation for some diatomic molecules. Pramana - J Phys 91, 46 (2018). https://doi.org/10.1007/s12043-018-1622-1

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  • DOI: https://doi.org/10.1007/s12043-018-1622-1

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