Dirac Operators on Infinite Quantum Graphs

We study quantum graphs with a finite or countable set of edges equipped with the Dirac operators where We consider the self-adjointness of the unbounded operator in generated by the Dirac operators with domains consisting of spinors and with the coupling conditions on the vertices , Applying the me...

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Bibliographic Details
Published in:Russian journal of mathematical physics 2022-09, Vol.29 (3), p.306-320
Main Authors: Barrera-Figueroa, V., Rabinovich, V. S., Loredo-Ramírez, S. A. C.
Format: Article
Language:English
Subjects:
14/34
639/766/189
639/766/530
639/766/747
Apexes
Coupling
Graphs
Mathematical and Computational Physics
Operators
Physics
Physics and Astronomy
Theoretical
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Summary:We study quantum graphs with a finite or countable set of edges equipped with the Dirac operators where We consider the self-adjointness of the unbounded operator in generated by the Dirac operators with domains consisting of spinors and with the coupling conditions on the vertices , Applying the method of limit operators, we describe the essential spectra of operators on the graphs with finite sets of exits to infinity and also on periodic graphs with aperiodic potentials and aperiodic coupling conditions.
ISSN:1061-9208
1555-6638
DOI:10.1134/S1061920822030025