Several exact solutions for three dimensional Schrodinger equation involving inverse square and power law potentials
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https://doi.org/10.26637/MJM0802/0056Abstract
Several exact solutions for steady state Schrodinger equation in three dimensional space are derived in this
paper. The potentials are taken to be sum of an inverse square potential and a power law potential. Different new exact solutions of Schrodinger equation are derived for this potential with zero energy. The solutions are derived in cartesian coordinates without separation of variables. Certain exact solutions for non-zero energy are also derived for Schrodinger equation with inverse square potential.
Keywords:
Schrodinger equation, Exact solution, Zero and non-zero energy, Inverse Square Potential, Power Law PotentialMathematics Subject Classification:
Mathematics- Pages: 650-656
- Date Published: 01-04-2020
- Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)
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