Universality limits of a reproducing kernel for a half-line Schrödinger operator and clock behavior of eigenvalues

DOI10.1007/s00220-010-1074-zzbMath1200.35067arXiv0908.1440OpenAlexW2108727307MaRDI QIDQ1958545

Anna V. Maltsev

Publication date: 4 October 2010

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.1440

zbMATH Keywords

orthogonal polynomialsSchrödinger operatorsspectrumreproducing kernel

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Additive difference equations (39A10)

Related Items (2)

An update on local universality limits for correlation functions generated by unitary ensembles ⋮ Level repulsion for Schrödinger operators with singular continuous spectrum

Cites Work

• A new approach to universality limits involving orthogonal polynomials
• Two extensions of Lubinsky's universality theorem
• Universality and fine zero spacing on general sets
• A new approach to inverse spectral theory. II: General real potentials and the connection to the spectral measure
• Applications of universality limits to zeros and reproducing kernels of orthogonal polynomials
• On the determination of a differential equation from its spectral function
• Fine structure of the zeros of orthogonal polynomials IV: A priori bounds and clock behavior
• On spectral theory for Schrödinger operators with strongly singular potentials
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