Level repulsion for arithmetic toral point scatterers in dimension 3

DOI10.1007/s00023-022-01206-9OpenAlexW2802698376MaRDI QIDQ2099131

Pär Kurlberg

Publication date: 23 November 2022

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.02428

Mathematics Subject Classification ID

Quantum scattering theory (81Uxx) General mathematical topics and methods in quantum theory (81Qxx) Number theory (11-XX)

Cites Work

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• The distribution of values of \(L(1,\chi_d)\)
• Poisson distribution for gaps between sums of two squares and level spacings for toral point scatterers
• Quadratic forms of signature \((2,2)\) and eigenvalue spacings on rectangular 2-tori
• On the eigenvalue spacing distribution for a point scatterer on the flat torus
• Quantum chaos for point scatterers on flat tori
• Wave chaos in singular quantum billiard
• Level clustering in the regular spectrum
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
• THE 'LARGE SIEVE' METHOD AND ITS APPLICATIONS IN THE THEORY OF NUMBERS

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