TY - JOUR
T1 - Dirac Operators on Infinite Quantum Graphs
AU - Barrera-Figueroa, V.
AU - Rabinovich, V. S.
AU - Loredo-Ramírez, S. A.C.
N1 - Publisher Copyright:
© 2022, Pleiades Publishing, Ltd.
PY - 2022/9
Y1 - 2022/9
N2 - Abstract: We study quantum graphs Γ with a finite or countable set E of edges equipped with the Dirac operators (Formula Presented.) where (Formula Presented.) We consider the self-adjointness of the unbounded operator (Formula Presented.) generated by the Dirac operators (Formula Presented.) with domains consisting of spinors (Formula Presented.) and with the coupling conditions on the vertices (Formula Presented.) Applying the method of limit operators, we describe the essential spectra of operators (Formula Presented.) on the graphs with finite sets of exits to infinity and also on periodic graphs with aperiodic potentials and aperiodic coupling conditions.
AB - Abstract: We study quantum graphs Γ with a finite or countable set E of edges equipped with the Dirac operators (Formula Presented.) where (Formula Presented.) We consider the self-adjointness of the unbounded operator (Formula Presented.) generated by the Dirac operators (Formula Presented.) with domains consisting of spinors (Formula Presented.) and with the coupling conditions on the vertices (Formula Presented.) Applying the method of limit operators, we describe the essential spectra of operators (Formula Presented.) on the graphs with finite sets of exits to infinity and also on periodic graphs with aperiodic potentials and aperiodic coupling conditions.
UR - http://www.scopus.com/inward/record.url?scp=85139563350&partnerID=8YFLogxK
U2 - 10.1134/S1061920822030025
DO - 10.1134/S1061920822030025
M3 - Artículo
AN - SCOPUS:85139563350
SN - 1061-9208
VL - 29
SP - 306
EP - 320
JO - Russian Journal of Mathematical Physics
JF - Russian Journal of Mathematical Physics
IS - 3
ER -