Research Journal of Applied Sciences
ISSN: Online 1993-6079ISSN: Print 1815-932x
Abstract
Quantum mechanics has played a major role in photonics, quantum electronics, and microelectronics. A series method is a powerful tool for solving quantum mechanical problems. In this study, we obtained the approximate solutions of operators using Harmonic Oscillator in a linear combination of the energy eigenstates. Also, the commutator of monomials of operators obeying constant commutation relations is expressed in terms of anti-commutators. We obtained the angular momentum operators in an eigenfunction with the use of matrices. Finally, we determined some exact solutions of eigenvalues and eigenvectors in a matrix representation of the operator to some set of orthonormal basis vectors.
How to cite this article:
JP.C. Mbagwu, B.I. Madububa, J.O. Ozuomba and M.C. Udoye. Series Solutions of Mathematical Problems of Quantum Mechanics.
DOI: https://doi.org/10.36478/rjasci.2021.204.211
URL: https://www.makhillpublications.co/view-article/1815-932x/rjasci.2021.204.211