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arXiv · 1706.04697

Exactly Solvable Time-Dependent Oscillator-Like Potentials Generated by Darboux Transformations

Kevin Zelaya·Oscar Rosas-Ortiz
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Abstract

The stationary Schroedinger equation of the harmonic oscillator is deformed by a Darboux transformation to construct time-dependent potentials with the oscillator profile. The Darboux (supersymmetric or factorization) method is usually developed in the spatial variables of the Schroedinger equation. Here we follow a variation introduced by Bagrov, Samsonov and Shekoyan to include the time-variable as a parameter of the transformation.

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Kevin Zelaya, Oscar Rosas-Ortiz. 2017-06-14. Exactly Solvable Time-Dependent Oscillator-Like Potentials Generated by Darboux Transformations. https://doi.org/10.1088/1742-6596/839/1/012018

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