The Quantum Arnold Transformation and the Ermakov-Pinney equation
Mathematical Physics
2015-06-12 v1 math.MP
Quantum Physics
Abstract
The previously introduced Quantum Arnold Transformation, a unitary operator mapping the solutions of the Schr\"odinger equation for time dependent quadratic Hamiltonians into the solutions for the free particle, is revised and some interesting extensions are introduced, providing in particular a generalization of the Ermakov-Pinney equation.
Cite
@article{arxiv.1302.1316,
title = {The Quantum Arnold Transformation and the Ermakov-Pinney equation},
author = {Julio Guerrero and Francisco F. López-Ruiz},
journal= {arXiv preprint arXiv:1302.1316},
year = {2015}
}
Comments
11 pages, 1 figure; to appear in Physica Scripta