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Analytical solution of Bohr Hamiltonian and extended form of sextic potential using bi-confluent Heun functions

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An Erratum to this article was published on 18 October 2018

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Abstract.

In this article, the Bohr Hamiltonian is analytically solved by considering the extended form of the sextic potential. This kind of potential in special cases can recover Davidson, sextic and harmonic potentials. To obtain the analytical solution of the considered system, we used bi-confluent Heun functions. Furthermore, some numerical results are calculated according to the results for some isotopes of xenon and platinum.

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Change history

  • 18 October 2018

    After publication of our paper, we noticed an error for the energy and the wave function. We evaluate the numerical results once again. We can find more accurate numerical results and the physical interpretations do not change.

  • 18 October 2018

    After publication of our paper, we noticed an error for the energy and the wave function. We evaluate the numerical results once again. We can find more accurate numerical results and the physical interpretations do not change.

  • 18 October 2018

    After publication of our paper, we noticed an error for the energy and the wave function. We evaluate the numerical results once again. We can find more accurate numerical results and the physical interpretations do not change.

  • 18 October 2018

    After publication of our paper, we noticed an error for the energy and the wave function. We evaluate the numerical results once again. We can find more accurate numerical results and the physical interpretations do not change.

  • 18 October 2018

    After publication of our paper, we noticed an error for the energy and the wave function. We evaluate the numerical results once again. We can find more accurate numerical results and the physical interpretations do not change.

  • 18 October 2018

    After publication of our paper, we noticed an error for the energy and the wave function. We evaluate the numerical results once again. We can find more accurate numerical results and the physical interpretations do not change.

  • 18 October 2018

    After publication of our paper, we noticed an error for the energy and the wave function. We evaluate the numerical results once again. We can find more accurate numerical results and the physical interpretations do not change.

  • 18 October 2018

    After publication of our paper, we noticed an error for the energy and the wave function. We evaluate the numerical results once again. We can find more accurate numerical results and the physical interpretations do not change.

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Authors and Affiliations

  1. Physics Department, Shahrood University of Technology, P. O. Box: 3619995161-316, Shahrood, Iran

    H. Sobhani & H. Hassanabadi

  2. Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba PMB 5323, Port Harcourt, Nigeria

    A. N. Ikot

Authors
  1. H. Sobhani
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  2. A. N. Ikot
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  3. H. Hassanabadi
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Correspondence to H. Sobhani.

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Sobhani, H., Ikot, A.N. & Hassanabadi, H. Analytical solution of Bohr Hamiltonian and extended form of sextic potential using bi-confluent Heun functions. Eur. Phys. J. Plus 132, 240 (2017). https://doi.org/10.1140/epjp/i2017-11493-9

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  • DOI: https://doi.org/10.1140/epjp/i2017-11493-9

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