Quantum harmonic oscillator with time dependent mass

Published 22 Dec 2017 in quant-ph | (1712.08260v1)

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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