The free Dirac operator on compact and noncompact graphs

W. Bulla, T. Trenkler

Type: Article

Publication Date: 1990-05-01

Citations: 73

DOI: https://doi.org/10.1063/1.529025

View Publication

Locations

Journal of Mathematical Physics - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Dirac particles in transparent quantum graphs: Tunable transport of relativistic quasiparticles in branched structures	2020	J.R. Yusupov K.K. Sabirov Q. U. Asadov Matthias Ehrhardt D. U. Matrasulov
+ PDF Chat	Non-self-adjoint Dirac operators on graphs	2025	Markus Holzmann Václav Růžek Matěj Tušek
+	Two-dimensional Dirac operators with general $δ$-shell interactions supported on a straight line	2022	Jussi Behrndt Markus Holzmann Matěj Tušek
+	On two-dimensional Dirac operators with $δ$-shell interactions supported on unbounded curves with straight ends	2023	Jussi Behrndt Pavel Exner Markus Holzmann Matěj Tušek
+ PDF Chat	Locally finite extensions and Gesztesy–Šeba realizations for the Dirac operator on a metric graph	2021	Hannes Gernandt Carsten Trunk
+	Locally finite extensions and Gesztesy-Šeba realizations for the Dirac operator on a metric graph	2018	Hannes Gernandt Carsten Trunk
+ PDF Chat	Holomorphic Family of Dirac–Coulomb Hamiltonians in Arbitrary Dimension	2022	Jan Dereziński Błażej Ruba
+ PDF Chat	Holomorphic family of Dirac-Coulomb Hamiltonians in arbitrary dimension	2021	Jan Dereziński Błażej Ruba
+ PDF Chat	On the discrete spectrum of the Dirac operator on bent chain quantum graph	2017	Michail Belov I. Yu. Popov I.V. Blinova
+ PDF Chat	Two-dimensional Dirac operators with general δ-shell interactions supported on a straight line	2023	Jussi Behrndt Markus Holzmann Matěj Tušek
+ PDF Chat	The Adjacency Matrix and the Discrete Laplacian Acting on Forms	2019	Hatem Baloudi Sylvain Golénia Aref Jeribi
+	Self-adjointness and spectral properties of Dirac operators with magnetic links	2017	Fabian Portmann Jérémy Sok Jan Philip Solovej
+	Self-adjointness and spectral properties of Dirac operators with magnetic links	2017	Fabian Portmann Jérémy Sok Jan Philip Solovej
+ PDF Chat	Transparent quantum graphs	2019	J.R. Yusupov K.K. Sabirov Matthias Ehrhardt D. U. Matrasulov
+	The Dirac Operator on Regular Metric Trees	2015	Xiao Liu
+ PDF Chat	Hidden symmetries in non-self-adjoint graphs	2021	Amru Hussein
+ PDF Chat	Inverse resonance scattering for Dirac operators on the half-line	2021	Evgeny Korotyaev Dmitrii Mokeev
+	On the spectrum of the Dirac operator for bent periodic chain of spheres connected through 1D wires	2017	A.S. Melikhova I. Yu. Popov
+	Properties of Dirac Deltas	2021	Michael F. Insana
+	The Matrix Schrödinger Equation and the Characterization of the Scattering Data	2020	Tuncay Aktosun Ricardo Weder

Works That Cite This (66)

Action	Title	Year	Authors
+	Partial Inverse Problems for Dirac Operators on Star Graphs	2020	Dai‐Quan Liu Chuan‐Fu Yang
+	Lattice Kronig-Penney Models	1995	Pavel Exner
+	Spectral asymptotics and regularized traces for Dirac operators on a star-shaped graph	2011	Chuan‐Fu Yang Zhen-You Huang
+ PDF Chat	Standing waves on quantum graphs	2022	Adilbek Kairzhan Diego Noja Dmitry E. Pelinovsky
+	Graph models for waves in thin structures	2002	Peter Kuchment
+ PDF Chat	Nonlinear Dirac Equation on Graphs with Localized Nonlinearities: Bound States and Nonrelativistic Limit	2019	William Borrelli Raffaele Carlone Lorenzo Tentarelli
+	Dirac and magnetic Schrödinger operators on fractals	2013	Michael Hinz Alexander Teplyaev
+ PDF Chat	On the nonlinear Dirac equation on noncompact metric graphs	2021	William Borrelli Raffaele Carlone Lorenzo Tentarelli
+ PDF Chat	Boundary condition at the junction	2007	M. Harmer B. S. Pavlov A. M. Yafyasov
+ PDF Chat	Contact interactions on graph superlattices	1996	Pavel Exner

Works Cited by This (3)

Action	Title	Year	Authors
+	Lineare Operatoren in Hilberträumen	2000	Joachim Weidmann
+	Scattering problems on noncompact graphs	1988	N. I. Gerasimenko B. S. Pavlov
+	Mathematical models for quantum point-contact spectroscopy	1988	Pavel Exner P. Šeba