Quantum harmonic oscillator with time dependent mass
Quantum Physics
2018-08-15 v1
Abstract
We use the Fourier operator to transform a time dependent mass quantum harmonic oscillator into a frequency dependent one. Then we use Lewis-Ermakov invariants to solve the Schr\"odinger equation by using squeeze operators. Finally we give two examples of time dependencies: quadratically and hyperbolically growing masses.
Keywords
Cite
@article{arxiv.1712.08260,
title = {Quantum harmonic oscillator with time dependent mass},
author = {I. Ramos-Prieto and A. Espinosa-Zúñiga and M. Fernández-Guasti and H. M. Moya-Cessa},
journal= {arXiv preprint arXiv:1712.08260},
year = {2018}
}