Distribution of the spectrum of the Airy operator perturbed by delta interactions

DOI10.1134/S1061920822010101zbMath1501.34074OpenAlexW4293097202MaRDI QIDQ2120154

A. S. Pechentsov

Publication date: 31 March 2022

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920822010101

zbMATH Keywords

eigenvalue asymptoticsinterlacing eigenvaluesDirac potentialAiry operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Boundary value problems with impulses for ordinary differential equations (34B37) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

• Trace of a difference of singular Sturm-Liouville operators with a potential containing Dirac \(\delta\)-functions
• Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set
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