A new approximation method for time-dependent problems in quantum mechanics
arXiv:quant-ph/0504028 · doi:10.1016/j.physleta.2005.04.018
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.
9 pages, 3 figures, accepted on Physics Letters A