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The solution of 4-dimensional Schrodinger equation for polynomial inverse potential and its partner potential by using ansatz wavefunction method

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Published under licence by IOP Publishing Ltd
, , Citation A Suparmi et al 2018 J. Phys.: Conf. Ser. 997 012051 DOI 10.1088/1742-6596/997/1/012051

1742-6596/997/1/012051

Abstract

The radial part of 4-dimensional Schrodinger equation for Polynomial Inverse potential and its partner potential was solved by using the Ansatz Wavefunction method. By applying of the properties and operators of the Supersymmetric Quantum Mechanic method the partner potential was constructed. The eigenvalues and eigenfunctions of the Polynomial Inverse potential and the eigenvalues and eigenfunctions of its partner potential were different. The partner potential of Polynomial Inverse potential for n > 1 has eigenvalue greater than Polynomial Inverse potential as its original potential.

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10.1088/1742-6596/997/1/012051