Scarring for quantum maps with simple spectrum

DOI10.1112/S0010437X10005270zbMath1226.81074arXiv0801.2493OpenAlexW2076691065MaRDI QIDQ3094104

Dubi Kelmer

Publication date: 21 October 2011

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.2493

zbMATH Keywords

quantum ergodicityquantum mapsscarring

Mathematics Subject Classification ID

Quantum chaos (81Q50) Ergodicity, mixing, rates of mixing (37A25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Related Items (2)

Superscars for arithmetic point scatters II ⋮ Superscars for arithmetic toral point scatterers

Cites Work

• Entropy of semiclassical measures of the Walsh-quantized Baker's map
• Arithmetic quantum unique ergodicity for symplectic linear maps of the multidimensional torus
• The behaviour of eigenstates of arithmetic hyperbolic manifolds
• Scarred eigenstates for quantum cat maps of minimal periods
• Hecke theory and equidistribution for the quantization of linear maps of the torus
• Scarring on invariant manifolds for perturbed quantized hyperbolic toral automorphisms
• Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph

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