Open level lines of a superposition of periodic potentials on a plane

DOI10.1016/j.aop.2022.169039OpenAlexW4281919153MaRDI QIDQ2103198

S. P. Novikov, Andrei Ya. Maltsev

Publication date: 13 December 2022

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.04014

zbMATH Keywords

2D systemquasiperiodic geometry

Mathematics Subject Classification ID

Biology and other natural sciences (92-XX) Quantum theory (81-XX)

Cites Work

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• The Hamiltonian formalism and a many-valued analogue of Morse theory
• Levels of quasiperiodic functions on a plane, and Hamiltonian systems
• Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter
• An example of a fractal set of plane directions having chaotic intersections with a fixed 3-periodic surface
• Topology of quasi-periodic functions on the plane

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