Propagators of Generalized Schr\"odinger Equations Related by Higher-Order Supersymmetry
Ekaterina Pozdeeva, Axel Schulze-Halberg
TL;DR
This paper develops explicit integral relations connecting propagators of generalized Schrödinger equations linked by higher-order supersymmetry, extending previous results for the standard Schrödinger equation.
Contribution
It introduces a method to relate propagators of generalized Schrödinger equations through higher-order supersymmetry, broadening the understanding of quantum evolution operators.
Findings
Derived explicit integral relations between propagators
Extended supersymmetry relations to generalized Schrödinger equations
Complemented previous results for conventional Schrödinger equations
Abstract
We construct explicit integral relations between propagators of generalized Schr\"odinger equations that are linked by higher-order supersymmetry. Our results complement and extend the findings obtained in J. Phys.A 40, 10557 (2007) for the conventional Schr\"odinger equation.
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