On Friedrichs Model with Two Continuum States
High Energy Physics - Phenomenology
2017-08-02 v2 Nuclear Theory
Quantum Physics
Abstract
The Friedrichs model with one discrete state coupled to more than one continuum is studied. The exact eigenstates for the full Hamiltonian can be solved explicitly. The discrete state is found to generate more than one virtual state pole or more than one pair of resonance poles in different Riemann sheets in different situations. The form factors could also generate new states on different sheets. All these states can appear in the generalized completeness relation.
Cite
@article{arxiv.1608.06833,
title = {On Friedrichs Model with Two Continuum States},
author = {Zhiguang Xiao and Zhi-Yong Zhou},
journal= {arXiv preprint arXiv:1608.06833},
year = {2017}
}
Comments
13 pages, 9 figures, publication version