Research Journal of Applied Sciences

Year: 2021
Volume: 16
Issue: 5
Page No. 204 - 211

Series Solutions of Mathematical Problems of Quantum Mechanics

Authors : JP.C. Mbagwu, B.I. Madububa, J.O. Ozuomba and M.C. Udoye

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, 2021. Series Solutions of Mathematical Problems of Quantum Mechanics. Research Journal of Applied Sciences, 16: 204-211.

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