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Thermal properties of 2D Schrödinger equation with new Morse interacting potential

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Abstract

In this article, we carried out a comprehensive study of the analytical solutions of the 2D Schrödinger equation for a new Morse interacting potential. Using Nikiforov–Uvarov method, the energy eigenvalues and corresponding radial wave functions are obtained analytically. The thermodynamic and thermomagnetic properties of the system for the new Morse potential such as the partition function of the system, Helmholtz free energy, mean energy, entropy, specific heat capacity, magnetization, magnetic susceptibility, vibrational mean energy, and persistent current are analyzed in a closed form. Also, the numerical bound state solution for the new Morse interacting potential under the influence of AB and magnetic field for fixed magnetic quantum number but with varying principal quantum number for screening parameter is studied. It is shown that the temperature and the maximum quantum number effects play an importance role for the investigation of thermodynamic and thermomagnetic properties of the quantum system.

Graphical abstract

The partition function is the distribution function that can be used in understanding the quantum behavior of a physical system such as thermodynamic and thermomagnetic properties.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors Comments: All data included in this manuscript are available on request by contacting the corresponding author].

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Author information

Authors and Affiliations

  1. Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, Nigeria

    A. N. Ikot

  2. Department of Physics, Akwa Ibom State University, P.M.B. 1167, Uyo, Ikot Akpaden, Nigeria

    U. S. Okorie

  3. Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria

    I. B. Okon & M. E. Udoh

  4. National Mathematical Centre, Abuja, Nigeria

    L. F. Obagboye

  5. Department of Theoretical Physics, Baku State University, Z. Khalilov St. 23, AZ1148, Baku, Azerbaijan

    A. I. Ahmadov

  6. Physics Education Department, Faculty of Education, Tishk International University, Erbil, Kurdistan Region, 44001, Iraq

    H. Y. Abdullah

  7. Department of Physics, College of Education, Salahadin University-Erbil, Erbil, Kurdistan Region, 44001, Iraq

    K. W. Qadir

  8. Department of Physics, Kogi State University, Anyigba, Nigeria

    C. A. Onate

Authors
  1. A. N. Ikot
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  2. U. S. Okorie
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  3. I. B. Okon
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  4. L. F. Obagboye
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  5. A. I. Ahmadov
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  6. H. Y. Abdullah
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  7. K. W. Qadir
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  8. M. E. Udoh
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  9. C. A. Onate
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Contributions

A.N. Ikot and I.B. Okon initiated the work and wrote the introduction of the work. U.S. Okorie and L.F. Obagboye calculated the 2D equation. A.I. Ahmadov and H.Y. Abdullah evaluated the partition function. K.W. Qadir, M.E. Udoh and C. A. Onate wrote the discussion. All the authors read and approve the submission of the manuscript.

Corresponding author

Correspondence to A. N. Ikot.

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Ikot, A.N., Okorie, U.S., Okon, I.B. et al. Thermal properties of 2D Schrödinger equation with new Morse interacting potential. Eur. Phys. J. D 76, 208 (2022). https://doi.org/10.1140/epjd/s10053-022-00533-0

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  • DOI: https://doi.org/10.1140/epjd/s10053-022-00533-0

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