Functional models and self-modeling property of minimal Dirac operators on the half-line
Mathematical Physics
2026-04-01 v1 math.MP
Abstract
We prove that minimal Dirac operators on the half-line are self-modeling, which means that such an operator is determined by its arbitrary unitary copy uniquely up to a transformation (shape equivalence) which changes its potential by a constant factor of modulus one. This result is obtained using the wave functional model of the minimal matrix Schr\"odinger operator on the half-line.
Keywords
Cite
@article{arxiv.2603.30001,
title = {Functional models and self-modeling property of minimal Dirac operators on the half-line},
author = {M. I. Belishev and S. A. Simonov},
journal= {arXiv preprint arXiv:2603.30001},
year = {2026}
}