Determination of the Exact Eigenvalues and Eigenfunctions of a Class of Quantum Anharmonic Oscillators with Polynomial Potential Functions

Amos Odoom, Francis T. Oduro, Kwaku Darkwah and Ishmael Takyi

Journal of Mathematics Research, 2022, vol. 14, issue 1, 72

Abstract: We determine the exact eigenvalues and eigenfunctions of a class of quantum anharmonic oscillator using a novel non perturbative approach. Our method which has already been applied to quantum harmonic oscillator incorporates the Gram Schmidt Orthogonalization process to generate separate even and odd eigenfunction sequences. For concreteness, we study a specific instance of a quantum anharmonic oscillator having a polynomial potential of order six. The general class of quantum anharmonic oscillators considered here are those characterized by certain polynomial functions with terms of even power.

Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://ccsenet.org/journal/index.php/jmr/article/download/0/0/46696/49934 (application/pdf)
https://ccsenet.org/journal/index.php/jmr/article/view/0/46696 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:14:y:2022:i:1:p:72

Access Statistics for this article

More articles in Journal of Mathematics Research from Canadian Center of Science and Education Contact information at EDIRC.
Bibliographic data for series maintained by Canadian Center of Science and Education ().