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arXiv · 1905.08735

Time dependent coupled harmonic oscillators

Alejandro R. Urzúa·Héctor M. Moya-Cessa·Irán Ramos-Prieto·Manuel Fernández Guasti
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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 $N$ time dependent and coupled oscillators have a generalized orthogonal functions invariant from which we can write a Ermakov-Lewis invariant.

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Alejandro R. Urzúa, Héctor M. Moya-Cessa, Irán Ramos-Prieto, Manuel Fernández Guasti. 2019-05-21. Time dependent coupled harmonic oscillators. https://arxiv.org/abs/1905.08735

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