Quantum levels of area-preserving maps

DOI10.1016/S0167-2789(98)90014-8zbMath0667.58025MaRDI QIDQ1117527

Robert H. G. Helleman

Publication date: 1988

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

Hénon mapHeisenberg's matrix formulation of quantum mechanicsquantizing volume-preserving polynomial mappings

Mathematics Subject Classification ID

Topological dynamics (37B99) General mathematical topics and methods in quantum theory (81Q99) Ergodic theory (37A99)

Cites Work

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• Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating
• Non-recurrent behaviour in quantum dynamics
• Stochastic behavior in classical and quantum Hamiltonian systems. Volta memorial conference, Como, 1977
• Exact eigenfunctions for a quantised map

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