Value distribution of the eigenfunctions and spectral determinants of quantum star graphs
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Publication:1411066
DOI10.1007/s00220-003-0941-2zbMath1098.81034arXivmath-ph/0210060OpenAlexW1969713620MaRDI QIDQ1411066
Publication date: 15 October 2003
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0210060
Applications of operator theory in the physical sciences (47N50) Quantum chaos (81Q50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items (13)
Quantum ergodicity on regular graphs ⋮ Eigenfunction statistics on quantum graphs ⋮ The heat kernel on the diagonal for a compact metric graph ⋮ Resonances and partial delocalization on the complete graph ⋮ Semi-classical measures on quantum graphs and the Gauß map of the determinant manifold ⋮ No quantum ergodicity for star graphs ⋮ Random moments for the new eigenfunctions of point scatterers on rectangular flat Tori ⋮ Pseudo-differential calculus on homogeneous trees ⋮ On the ubiquity of the Cauchy distribution in spectral problems ⋮ Multifractal eigenfunctions for a singular quantum billiard ⋮ Quantum ergodicity on large regular graphs ⋮ Spectrum of a non-selfadjoint quantum star graph ⋮ Rényi and Tsallis entropies related to eigenfunctions of quantum graphs
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