SOLUSI PERSAMAAN SCHRODINGER D-DIMENSI UNTUK POTENSIAL NON SENTRAL SHAPE INVARIANT DENGAN METODE NIKIFOROV-UVAROV

DETA, UTAMA ALAN (2013) SOLUSI PERSAMAAN SCHRODINGER D-DIMENSI UNTUK POTENSIAL NON SENTRAL SHAPE INVARIANT DENGAN METODE NIKIFOROV-UVAROV. Masters thesis, Universitas Sebelas Maret.

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    Abstract

    This research’s aim are to determine energy spectra and wave function of Schrodinger Equation in D-Dimensions for non central shape invariant potentials, that is, Scarf hyperbolic plus non central Poschl-Teller potential and Scarf trigonometric plus non central Rosen-Morse potential with Nikivarof-Uvarov method. Nikivarof-Uvarov method are the method for solving a second order of differential equation which transform that equation into hypergeometric equation using a correct subtitution of variable. Research was done through a literature studies to solve the Schrodinger equation D-Dimensions analitically for Scarf hyperbolic plus non central Poschl- Teller potential and Scarf trigonometric plus non central Rosen-Morse potential. Energy spectra and wave function obtained by Nikivarof-Uvarov method. After obtaining energy levels and compared with the other methods in the special conditions, the wave function can be obtained by Nikivarof-Uvarov method. Energy spectra of the Scarf hyperbolic plus non-central Poschl Teller potential and Scarf trigonometric plus non-central Rosen Morse potential on DDimensions which obtained by Nikiforov-Uvarof methods have a results consistently with previous research on special condition. Energy spectra and wave functions of both combination of potentials are determined approximately for the value of orbital quantum number l ≠ 0. Keywords: Schrodinger Equation in D-Dimensions, Non Central Shape Invariant Potentials, and Nikivarof-Uvarov Method.

    Item Type: Thesis (Masters)
    Subjects: Q Science > QC Physics
    Divisions: Lembaga Penelitian dan Pengabdian Kepada Masyarakat - LPPM
    Depositing User: Nurrahma Restia
    Date Deposited: 03 May 2014 20:10
    Last Modified: 03 May 2014 20:10
    URI: https://eprints.uns.ac.id/id/eprint/14768

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