TY  - JOUR
T1  - Series Solutions of Mathematical Problems of Quantum Mechanics
AU - Mbagwu, JP.C. AU - Madububa, B.I. AU - Ozuomba, J.O. AU - Udoye, M.C. 
JO  - Research Journal of Applied Sciences
VL  - 16
IS  - 5
SP  - 204
EP  - 211
PY  - 2021
DA  - 2001/08/19
SN  - 1815-932x
DO  - rjasci.2021.204.211
UR  - https://makhillpublications.co/view-article.php?doi=rjasci.2021.204.211
KW  - Quantum mechanics
KW  -eigenvalues
KW  -eigenvectors
KW  -harmonic oscillator
KW  -operators
AB  - 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.
ER  -