Complex potentials: bound states, quantum dynamics and wave operators
Spectral Theory
2014-03-03 v1
Abstract
Schr\"odinger operator on half-line with complex potential and the corresponding evolution are studied within perturbation theoretic approach. The total number of eigenvalues and spectral singularities is effectively evaluated. Wave operators are constructed and a criterion is established for the similarity of perturbed and free propagators.
Cite
@article{arxiv.1402.7186,
title = {Complex potentials: bound states, quantum dynamics and wave operators},
author = {S. A. Stepin},
journal= {arXiv preprint arXiv:1402.7186},
year = {2014}
}
Comments
9 pages