Time dependent coupled harmonic oscillators

2019/05/21 by Alejandro R. Urzúa, Urzúa, Alejandro R., H. M. Moya-Cessa +5
Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Mechanical and Optical Resonators #Quantum Physics (quant-ph) #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.1905.08735

openalex publication_date 2019/05/21 · openalex created_date 2019/05/29 · openalex updated_date 2026/07/28

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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