Exactly Solvable Models for the Generalized Schrödinger Equation
The Darboux transformation operator technique is applied to the generalized Schrödinger equation. The procedure is used for constructing exactly solvable models. The influence of the distance between levels on the form of the potentials is investigated. In particular, symmetric and asymmetric double well and triple well potentials are generated.
KeywordsGeneralized Schrödinger equation Darboux transformations
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