One-dimensional quantum scattering by a parabolic odd potential
Quantum Physics
2014-01-27 v1
Abstract
Quantum scattering by a one-dimensional odd potential proportional to the square of the distance to the origin is considered. The Schr\"odinger equation is solved exactly and explicit algebraic expressions of the wavefunction are given. A complete discussion of the scattering function reveals the existence of Gamow (decaying) states and of resonances.
Cite
@article{arxiv.1401.6313,
title = {One-dimensional quantum scattering by a parabolic odd potential},
author = {Erasmo M. Ferreira and Javier Sesma},
journal= {arXiv preprint arXiv:1401.6313},
year = {2014}
}
Comments
14 pages, 7 figures