Open AccessAnalytic ground state energy and wave function of a quantum system in an exponential-form anharmonic interaction potential
Author(s) -
Israel B. Babalola,
Oluwole E. Oyewande,
Idowu H. Latok,
Olukunle C. Olawole
Publication year - 2021
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/655/1/012047
Subject(s) - anharmonicity , eigenvalues and eigenvectors , wave function , harmonic oscillator , quantum , exponential function , ground state , physics , quantum mechanics , hamiltonian (control theory) , perturbation (astronomy) , perturbation theory (quantum mechanics) , quadratic equation , potential energy , quantum electrodynamics , mathematics , mathematical analysis , mathematical optimization , geometry
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 non-centrosymmetric 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.