Factorization theorem for the transfer function of a 2x2 operator matrix with unbounded couplings
Spectral Theory
2007-05-23 v1 Mathematical Physics
Functional Analysis
math.MP
Nuclear Theory
Quantum Physics
Abstract
We consider the analytic continuation of the transfer function associated with a 2x2 operator matrix having unbounded couplings into unphysical sheets of its Riemann surface. We construct a family of non-selfadjoint operators which factorize the transfer function and reproduce certain parts of its spectrum including the nonreal (resonance) spectrum situated in the unphysical sheets neighboring the physical sheet.
Cite
@article{arxiv.math/9912220,
title = {Factorization theorem for the transfer function of a 2x2 operator matrix with unbounded couplings},
author = {V. Hardt and R. Mennicken and A. K. Motovilov},
journal= {arXiv preprint arXiv:math/9912220},
year = {2007}
}
Comments
LaTeX2e, 14 pages, no figures