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Exact bound states for the central fraction power potentialV(r)=α/r 1/2+β/r 3/2

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Il Nuovo Cimento B (1971-1996)

Summary

We obtain here the exact bound-state solutions for the central fraction power potentialV(r)=α/r 1/2+β/r 3/2 by using a suitable ansatz. The method yields a set of infinite bound-state solutions which are normalizable. Further, each solution has an interrelation between the parameters α, β of the potential and the orbital angular-momentum quantum numberl.

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Author notes

  1. S. K. Bose

    Present address: Physics Department, University of Gorakhpur, 273009, Gorakhpur, India

Authors and Affiliations

  1. Jawaharlal Nehru Centre for Advanced Scientific Research, I. I. Sc., 560012, Bangalore, India

    S. K. Bose

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Bose, S.K. Exact bound states for the central fraction power potentialV(r)=α/r 1/2+β/r 3/2 . Nuov Cim B 109, 311–314 (1994). https://doi.org/10.1007/BF02727292

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  • DOI: https://doi.org/10.1007/BF02727292

PACS 03.65

PACS 03.65.Ge

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