Two-point spectral correlations for the square billiard

DOI10.1088/0305-4470/30/6/009zbMath0932.37022OpenAlexW2037905123MaRDI QIDQ4248439

Jonathan P. Keating, Richard D. Connors

Publication date: 8 March 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/30/6/009

zbMATH Keywords

integrable systemssemiclassical limittwo-point correlation functionnumber theorysquare billiardquantum spectrumPoissonian limit

Mathematics Subject Classification ID

Quantum chaos (81Q50) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (6)

A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator ⋮ Lemke Oliver and Soundararajan bias for consecutive sums of two squares ⋮ Correlations of Sums of Two Squares and Other Arithmetic Functions in Function Fields ⋮ SUMS OF TWO SQUARES — PAIR CORRELATION AND DISTRIBUTION IN SHORT INTERVALS ⋮ The variance of the number of sums of two squares in [inline-graphic 01 [T] in short intervals] ⋮ Microwave studies of the spectral statistics in chaotic systems

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