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arXiv · 1712.08260

Quantum harmonic oscillator with time dependent mass

I. Ramos-Prieto·A. Espinosa-Zúñiga·M. Fernández-Guasti·H. M. Moya-Cessa
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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.

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I. Ramos-Prieto, A. Espinosa-Zúñiga, M. Fernández-Guasti, H. M. Moya-Cessa. 2017-12-22. Quantum harmonic oscillator with time dependent mass. https://doi.org/10.1142/s0217984918502354

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