Gaussian wave packet solution of the Schrodinger equation in the presence of a time-dependent linear potential

2008/05/04 by Maamache, M., Saadi, Y.
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.0805.0409

Abstract

We argue that the way to get the general solution of a Schrodinger equation in the presence of a time-dependent linear potential based on the Lewis-Riesenfeld framework is to use a Hermitian linear invariant operator. We demonstrate that the linear invariant proposed in p and q is an Hermitian operator which has the Gaussian wave packet as its eigenfunction.

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