Time dependent coupled harmonic oscillators
Quantum Physics
2019-05-22 v1
Abstract
We show that, by using the quantum orthogonal functions invariant, we are able to solve a coupled of time dependent harmonic oscillators where all the time dependent frequencies are arbitrary. We do so, by transforming the time dependent Hamiltonian of the interaction by a set of unitary operators. In passing, we show that time dependent and coupled oscillators have a generalized orthogonal functions invariant from which we can write a Ermakov-Lewis invariant.
Keywords
Cite
@article{arxiv.1905.08735,
title = {Time dependent coupled harmonic oscillators},
author = {Alejandro R. Urzúa and Héctor M. Moya-Cessa and Irán Ramos-Prieto and Manuel Fernández Guasti},
journal= {arXiv preprint arXiv:1905.08735},
year = {2019}
}
Comments
6 pages