Multifractal eigenfunctions for a singular quantum billiard
Jonathan P. Keating,
Henrik Ueberschaer
Abstract:Whereas much work in the mathematical literature on quantum chaos has focused on phenomena such as quantum ergodicity and scarring, relatively little is known at the rigorous level about the existence of eigenfunctions whose morphology is more complex.Quantum systems whose dynamics is intermediate between certain regimes -for example, at the transition between Anderson localized and delocalized eigenfunctions, or in systems whose classical dynamics is intermediate between integrability and chaos -have been con… Show more
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