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arXiv · 2603.30001

Functional models and self-modeling property of minimal Dirac operators on the half-line

M. I. Belishev·S. A. Simonov
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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.

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M. I. Belishev, S. A. Simonov. 2026-03-31. Functional models and self-modeling property of minimal Dirac operators on the half-line. https://arxiv.org/abs/2603.30001

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