Self-accelerating Parabolic Cylinder Waves in 1-D
arXiv:1611.05434 · doi:10.1016/j.physleta.2016.09.030
Abstract
We introduce a new self-accelerating wave packet solution of the Schrodinger equation in one dimension. We obtain an exact analytical parabolic cylinder wave for the inverted harmonic potential. We show that truncated parabolic cylinder waves exhibits their accelerating feature.