Solutions to the time-dependent Schrodinger equation in the continuous spectrum case
Quantum Physics
2008-04-29 v1
Abstract
We generalize the Lewis-Riesenfeld technique of solving the time-dependent Schrodinger equation to cases where the invariant has continuous eigenvalues. An explicit formula for a generalized Lewis-Riesenfeld phase is derived in terms of the eigenstates of the invariant. As an illustration the generalized phase is calculated for a particle in a time-dependent linear potential.
Cite
@article{arxiv.0804.4289,
title = {Solutions to the time-dependent Schrodinger equation in the continuous spectrum case},
author = {M. Maamache and Y. Saadi},
journal= {arXiv preprint arXiv:0804.4289},
year = {2008}
}
Comments
6 pages