@article{MAKHILLRJAS202116510300,
    title = {Series Solutions of Mathematical Problems of Quantum Mechanics},
    journal = {Research Journal of Applied Sciences},
    volume = {16},
    number = {5},
    pages = {204-211},
    year = {2021},
    issn = {1815-932x},
    doi = {rjasci.2021.204.211},
    url = {https://makhillpublications.co/view-article.php?issn=1815-932x&doi=rjasci.2021.204.211},
    author = {JP.C.,B.I.,J.O. and},
    keywords = {Quantum mechanics,eigenvalues,eigenvectors,harmonic oscillator,operators},
    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.}
    }