Exactly Solvable Time-Dependent Oscillator-Like Potentials Generated by Darboux Transformations
Quantum Physics
2017-06-16 v1
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.
Cite
@article{arxiv.1706.04697,
title = {Exactly Solvable Time-Dependent Oscillator-Like Potentials Generated by Darboux Transformations},
author = {Kevin Zelaya and Oscar Rosas-Ortiz},
journal= {arXiv preprint arXiv:1706.04697},
year = {2017}
}
Comments
6 pages, 8 figures. Based on the work presented by K. Zelaya in the Quantum Fest 2016: International Conference on Quantum Phenomena, Quantum Control and Quantum Optics, 17-21 October 2016, Mexico City, Mexico