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

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

2008-05-04

arxiv.org/abs/0805.0409v1

Physics

Quantum Physics

5 pages

Scientific paper

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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