Spectral asymptotics and regularized traces for Dirac operators on a star-shaped graph

DOI10.1080/00036811.2011.579563zbMath1260.34056OpenAlexW2080781417WikidataQ58250505 ScholiaQ58250505MaRDI QIDQ3167666

Chuan-Fu Yang, Zhen-you Huang

Publication date: 2 November 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.579563

zbMATH Keywords

Dirac operatortrace formulastar-shaped graph

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (6)

Dirac operators on infinite quantum graphs ⋮ Direct and inverse resonance problems for the massless Dirac operator on the half line ⋮ Inverse problems for the Dirac operator on a star graph ⋮ Partial inverse problems for Dirac operators on star graphs ⋮ Dirac-Krein systems on star graphs ⋮ Traces and inverse nodal problems for Dirac-type integro-differential operators on a graph

Cites Work

• Periodic orbit theory and spectral statistics for quantum graphs
• The free Dirac operator on compact and noncompact graphs
• Sums of Nevanlinna functions and differential equations on star-shaped graphs
• An exact solution for a derivative nonlinear Schrödinger equation
• The inverse problem for periodic potentials
• Spectral statistics for the Dirac operator on graphs
• Inverse problem for the Sturm–Liouville equation on a star‐shaped graph
• Inverse spectral problems for Sturm–Liouville operators on graphs
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