Crystal properties of eigenstates for quantum cat maps

DOI10.1088/0951-7715/10/6/008zbMath0908.58025arXivchao-dyn/9701019OpenAlexW2070750860MaRDI QIDQ3841230

Stéphane Nonnenmacher

Publication date: 16 August 1998

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9701019

zbMATH Keywords

quantum mechanicseigenstatesquantized cat mapstorus phase spaceBargmann-Husimi representation

Mathematics Subject Classification ID

Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geometric quantization (53D50)

Related Items (4)

Large supremum norms and small Shannon entropy for Hecke eigenfunctions of quantized cat maps ⋮ Equidistribution and convergence speed for zeros of holomorphic sections of singular Hermitian line bundles ⋮ Disheveled Arnold's cat and the problem of quantum-classic correspondence ⋮ An algorithmic view of pseudochaos

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