Aharonov-Bohm (AB) flux and thermomagnetic properties of Hellmann plus screened Kratzer potential as applied to diatomic molecules using Nikiforov-Uvarov-Functional-Analysis (NUFA) method

• Published in: Molecular physics Vol. 120; no. 9
• Main Authors: Okon, I. B., Onate, C. A., Omugbe, E., Okorie, U. S., Edet, C. O., Antia, A. D., Araujo, J. P., Isonguyo, C. N., Onyeaju, M. C., William, E. S., Horchani, R., Ikot, A. N.
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 03.05.2022; Taylor & Francis Ltd
• Subjects: 03.65.Db; 03.65.Nk; 03.65.Pm; AB and magnetic field; Chromium; Diatomic molecules; Energy levels; Energy spectra; Free energy; HPSKP; Magnetic permeability; Magnetic properties; Mathematical analysis; NUFA; Partitions (mathematics); Polynomials; Schrodinger equation; thermo-magnetic properties; Wave functions
• ISSN: 0026-8976; 1362-3028
• DOI: 10.1080/00268976.2022.2046295

In this work, we study an approximate bound state solution of a 2D Schrodinger equation under the influence of external magnetic and Aharonov-Bohm (AB) fields with Hellmann plus screened Kratzer potential (HPSKP) using the Nikiforov-Uvarov-functional- analysis method (NUFA). We obtained the normalised wave function expressed in terms of the Jacobi polynomial. The energy spectra were also obtained in closed form and used to study the energy levels of hydrogen and chromium hydride molecules. The partition function was evaluated using Poisson's summation approach while other thermomagnetic properties such as free energy, mean energy, entropy, heat capacity, magnetisation, magnetic susceptibility, persistent current at zero and finite temperatures were evaluated analytically.