Coherent states for time dependent harmonic oscillator: the step function
arXiv:quant-ph/0301111 · doi:10.1016/S0375-9601(03)00461-4
Abstract
We study the time evolution for the quantum harmonic oscillator subjected to a sudden change of frequency. It is based on an approximate analytic solution to the time dependent Ermakov equation for a step function. This approach allows for a continuous treatment that differs from former studies that involve the matching of two time independent solutions at the time when the step occurs.
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