Higher-order Darboux transformations and Wronskian representations for Schrödinger equations with quadratically energy-dependent potentials

2020 ◽  
Vol 61 (2) ◽  
pp. 023503 ◽  
Author(s):  
Axel Schulze-Halberg
Keyword(s):  
Higher Order ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Darboux Transformations ◽  
Energy Dependent

DARBOUX TRANSFORMATIONS FOR EFFECTIVE MASS SCHRÖDINGER EQUATIONS WITH ENERGY-DEPENDENT POTENTIALS

2008 ◽  
Vol 23 (03n04) ◽  
pp. 537-546 ◽  
Author(s):  
AXEL SCHULZE-HALBERG
Keyword(s):  
Effective Mass ◽  
Darboux Transformation ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Constant Mass ◽  
Darboux Transformations ◽  
First Order ◽  
Dependent Potential ◽  
Energy Dependent

We construct first-order Darboux transformations for stationary Schrödinger equations with position-dependent (effective) mass and energy-dependent potential. We point out characteristic differences to the corresponding Darboux transformation for constant mass.14

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