Babalola, Israel B. and Oyewande, Oluwole E. and Latok, Idowu H. and Olawole, C. Olukunle (2021) Analytic ground state energy and wave function of a quantum system in an exponential-form anharmonic interaction potential. In: 4th International Conference on Science and Sustainable Development (ICSSD 2020), 2020, Online.
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Abstract
An anharmonic oscillator with a perturbed quadratic potential which is coupled with an exponential term is being investigated in this paper by isolating an anharmonic oscillator interaction potential from the actual interaction experienced by the quantum system studied, and using standard perturbative techniques. The anharmonic potential considered is of interest because of its usefulness in the study of noncentrosymmetric materials which have applications in piezoelectricity. The ground state energy eigenvalue and its associated eigenstates were calculated for the quantum system using an analytical approach. Results obtained are compared to those of quantised harmonic oscillator to show the effect of the perturbation.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | anharmonic oscillator, perturbation theory, non-centrosymmetric materials |
| Subjects: | Q Science > Q Science (General) Q Science > QC Physics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Physics |
| Depositing User: | Patricia Nwokealisi |
| Date Deposited: | 04 Jun 2024 14:41 |
| Last Modified: | 04 Jun 2024 14:41 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/18060 |
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