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arXiv:1712.08260 · Modern Physics Letters B

Quantum harmonic oscillator with time-dependent mass

I. Ramos-Prieto, A. Espinosa-Zuñiga, M. Fernández-Guasti, H. M. Moya-Cessa

Published Jun 21, 2018• 22 citations
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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 Schrödinger equation by using squeeze operators. Finally, we give two examples of time dependencies: quadratically and hyperbolically growing masses.
DOI
10.1142/s0217984918502354

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