A new approximation method for time-dependent problems in quantum mechanics
Quantum Physics
2009-11-11 v1
Abstract
We propose an approximate solution of the time-dependent Schr\"odinger 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.
Cite
@article{arxiv.quant-ph/0504028,
title = {A new approximation method for time-dependent problems in quantum mechanics},
author = {Paolo Amore and Alfredo Aranda and Francisco M. Fernandez and Hugh Jones},
journal= {arXiv preprint arXiv:quant-ph/0504028},
year = {2009}
}
Comments
9 pages, 3 figures, accepted on Physics Letters A