Abstract
We give two conditionally exactly solvable inverse power law potentials whose linearly independent solutions include a sum of two confluent hypergeometric functions. We notice that they are partner potentials and multiplicative shape invariant. The method used to find the solutions works with the two Schrödinger equations of the partner potentials. Furthermore, we study some of the properties of these potentials.
Original language | English |
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Article number | 085202 |
Journal | Physica Scripta |
Volume | 90 |
Issue number | 8 |
DOIs | |
State | Published - 1 Aug 2015 |
Keywords
- conditionally exactly solvable potential
- confluent hypergeometric equation
- shape invariance