Quantum graphs where back-scattering is prohibited
J. M. Harrison, U. Smilansky, B. Winn
TL;DR
This paper introduces a new class of quantum graphs with scattering matrices that prevent back-scattering, offering novel properties and methods for their construction, which could impact quantum graph analysis.
Contribution
It presents a new class of back-scattering prohibited scattering matrices for quantum graphs and two methods to construct them, advancing the study of quantum graph properties.
Findings
Quantum graphs with back-scattering prohibited exhibit unique properties.
Two methods for constructing the specialized scattering matrices are provided.
The study highlights advantages and potential applications of these quantum graphs.
Abstract
We describe a new class of scattering matrices for quantum graphs in which back-scattering is prohibited. We discuss some properties of quantum graphs with these scattering matrices and explain the advantages and interest in their study. We also provide two methods to build the vertex scattering matrices needed for their construction.
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