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

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

References in corpus (2)

• Classicality of the order parameter during a phase transition
• Quantum Dynamics of the Slow Rollover Transition in the Linear Delta Expansion

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