Nothing Special   »   [go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/a/ibn/jmrjnl/v14y2022i1p72.html
   My bibliography  Save this article

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

Author

Listed:
  • Amos Odoom
  • Francis T. Oduro
  • Kwaku Darkwah
  • Ishmael Takyi
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.

Suggested Citation

  • Amos Odoom & Francis T. Oduro & Kwaku Darkwah & Ishmael Takyi, 2022. "Determination of the Exact Eigenvalues and Eigenfunctions of a Class of Quantum Anharmonic Oscillators with Polynomial Potential Functions," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 14(1), pages 1-72, March.
    • Handle: RePEc:ibn:jmrjnl:v:14:y:2022:i:1:p:72
    as

    Download full text from publisher

    File URL: https://ccsenet.org/journal/index.php/jmr/article/download/0/0/46696/49934
    Download Restriction: no
    File URL: https://ccsenet.org/journal/index.php/jmr/article/view/0/46696
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Francis T. Oduro & Amos Odoom, 2021. "A New Framework for the Determination of the Eigenvalues and Eigenfunctions of the Quantum Harmonic Oscillator," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 13(6), pages 1-20, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      More about this item

      JEL classification:

      • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
      • Z0 - Other Special Topics - - General

      Statistics

      Access and download statistics

      Corrections

      All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ibn:jmrjnl:v:14:y:2022:i:1:p:72. See general information about how to correct material in RePEc.

      If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

      If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

      For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Canadian Center of Science and Education (email available below). General contact details of provider: https://edirc.repec.org/data/cepflch.html .

      Please note that corrections may take a couple of weeks to filter through the various RePEc services.

      IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.