Exact Solutions of Schrodinger Equation in Cylindrical Coordinates for Double Ring-Shaped Coulomb Oscillator Potential Using SUSY QM Method

Schrodinger equation for a doubled ring-shaped coulomb oscillator potential is investigated using supersymmetric quantum mechanics approach. The three dimensional Schrodinger equation for a doubled ring-shaped coulomb oscillator potential in cylindrical coordinates is separated into three parts that...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-01, Vol.1127 (1), p.12005
Main Authors: Ma'arif, Miftahul, Naufal I, M, Suparmi, A, Cari, C
Format: Article
Language:English
Subjects:
Coulomb
Cylindrical coordinates
Doubled Ring-Shaped Oscillator
Energy spectra
Exact solutions
Nonlinear equations
Quantum mechanics
Schrodinger equation
Supersymmetry
Wave functions
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Summary:Schrodinger equation for a doubled ring-shaped coulomb oscillator potential is investigated using supersymmetric quantum mechanics approach. The three dimensional Schrodinger equation for a doubled ring-shaped coulomb oscillator potential in cylindrical coordinates is separated into three parts that contains one dimensional Schrodinger type equation which are solved using supersymmetric operator and the idea of shape invariant potential. The energy spectrum and the total wave functions are obtained.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1127/1/012005