2019arXiv (Cornell University)Open access

Incorrectness of analytical solution of Schrodinger equation for diatomic molecule with shifted Tietz-Wei potential

I. H. Umirzakov

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Abstract

It is shown that: the analytical solution of the stationary Schrodinger equation for diatomic molecules with the shifted Tietz-Wei potential, which was reported in the paper Exact and Poisson summation thermodynamic properties for diatomic molecules with shifted Tietz potential, A N Ikot, W Azogor, U S Okorie, F E Bazuaye, M C Onjeaju, C A Onate and E O Chukwuocha, Indian Journal of Physics, 2019, is incorrect; the analytical expressions for the rotational-vibrational energy spectrum for diatomic molecule obtained from the incorrect analytical solution of the Schrodinger equation is incorrect; and free energy, internal energy, entropy and specific heat of cesium dimer at the electronic state calculated from the incorrect expression for the rotational-vibrational energy spectrum are incorrect.

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What this paper is about

It is shown that: the analytical solution of the stationary Schrodinger equation for diatomic molecules with the shifted Tietz-Wei potential, which was reported in the paper Exact and Poisson summation thermodynamic properties for diatomic molecules with shifted Tietz potential, A N Ikot, W Azogor, U S Okorie, F E Bazuaye, M C Onjeaju, C A Onate and E O Chukwuocha, Indian Journal of Physics, 2019, is incorrect; the analytical expressions for the rotational-vibrational energy spectrum for diatomic molecule obtained from the incorrect analytical solution of the Schrodinger equation is incorrect; and free energy, internal energy, entropy and specific heat of cesium dimer at the electronic state calculated from the incorrect expression for the rotational-vibrational energy spectrum are incorrect.

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Available abstract

It is shown that: the analytical solution of the stationary Schrodinger equation for diatomic molecules with the shifted Tietz-Wei potential, which was reported in the paper Exact and Poisson summation thermodynamic properties for diatomic molecules with shifted Tietz potential, A N Ikot, W Azogor, U S Okorie, F E Bazuaye, M C Onjeaju, C A Onate and E O Chukwuocha, Indian Journal of Physics, 2019, is incorrect; the analytical expressions for the rotational-vibrational energy spectrum for diatomic molecule obtained from the incorrect analytical solution of the Schrodinger equation is incorrect; and free energy, internal energy, entropy and specific heat of cesium dimer at the electronic state calculated from the incorrect expression for the rotational-vibrational energy spectrum are incorrect.

Key concepts: Diatomic molecule, Schrödinger equation, Physics, Schrödinger's cat, Mathematical physics, Quantum mechanics, Molecule

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