Quantum harmonic oscillator with time dependent mass
arXiv:1712.08260 · doi:10.1142/S0217984918502354
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.