JP.C.  Mbagwu, B.I.  Madububa, J.O.  Ozuomba, M.C.  Udoye, 
    Series Solutions of Mathematical Problems of Quantum Mechanics,
    Research Journal of Applied Sciences,
    Volume 16,Issue 5,
    2021,
    Pages 204-211,
    ISSN 1815-932x,
    rjasci.2021.204.211,
    (https://makhillpublications.co/view-article.php?doi=rjasci.2021.204.211)
    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.
    Keywords: Quantum mechanics;eigenvalues;eigenvectors;harmonic oscillator;operators