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A new approximation method for time-dependent problems in quantum mechanics

Paolo Amore·Alfredo Aranda·Francisco M. Fernandez·Hugh Jones
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Abstract

We propose an approximate solution of the time-dependent Schrödinger equation using the method of stationary states combined with a variational matrix method for finding the energies and eigenstates. We illustrate the effectiveness of the method by applying it to the time development of the wave-function in the quantum-mechanical version of the inflationary slow-roll transition.

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Paolo Amore, Alfredo Aranda, Francisco M. Fernandez, Hugh Jones. 2005-04-05. A new approximation method for time-dependent problems in quantum mechanics. https://doi.org/10.1016/j.physleta.2005.04.018

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