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Cornell potential in generalized uncertainty principle formalism: the case of Schrödinger equation

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Abstract

The modified Schrödinger equation due to generalized uncertainty principle is considered with the Cornell potential. The problem is transformed into the momentum space and a quasi-exact analytical approach is used to report the solutions. The ground-state wave function as well as the set of equations determining the spectrum of the system are obtained and the special case of the vanishing minimal length parameter is recovered.

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Acknowledgments

It is a great pleasure for authors to thank the referee for many useful comments on the manuscript.

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Authors and Affiliations

  1. Physics Department, University of Shahrood, Shahrood, Iran

    K. Jahankohan & H. Hassanabadi

  2. Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

    S. Zarrinkamar

Authors
  1. K. Jahankohan
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  2. S. Zarrinkamar
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  3. H. Hassanabadi
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Correspondence to K. Jahankohan.

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Jahankohan, K., Zarrinkamar, S. & Hassanabadi, H. Cornell potential in generalized uncertainty principle formalism: the case of Schrödinger equation. Quantum Stud.: Math. Found. 3, 109–114 (2016). https://doi.org/10.1007/s40509-015-0065-3

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  • DOI: https://doi.org/10.1007/s40509-015-0065-3

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