Chaotic classical scattering and dynamics in oscillating 1-D potential wells

DOI10.1016/S0960-0779(99)00184-8zbMath0988.81038arXivnlin/0102002OpenAlexW2103035375MaRDI QIDQ5939052

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Publication date: 22 July 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0102002

zbMATH Keywords

infinite chain of 1-D square wellssolid state physics

Mathematics Subject Classification ID

Quantum chaos (81Q50) Statistical mechanics of solids (82D20) Software, source code, etc. for problems pertaining to quantum theory (81-04) Quantum scattering theory (81U99)

Related Items (10)

Dynamical properties of a particle in a classical time-dependent potential well ⋮ Phase space properties and chaotic transport for a particle moving in a time dependent step potential well ⋮ Chaotic Hamiltonian pumps ⋮ A rescaling of the phase space for Hamiltonian map: applications on the Kepler map and mappings with diverging angles in the limit of vanishing action ⋮ Scaling properties for a classical particle in a time-dependent potential well ⋮ Dynamical properties for an ensemble of classical particles moving in a driven potential well with different time perturbation ⋮ On the dynamical properties of an elliptical-oval billiard with static boundary ⋮ A family of dissipative two-dimensional mappings: chaotic, regular and steady state dynamics investigation ⋮ Phase transition in dynamical systems: defining classes of universality for two-dimensional Hamiltonian mappings via critical exponents ⋮ Classical scattering from oscillating targets

Cites Work

• Chaos in classical and quantum mechanics
• Quantum signatures of chaos. With a foreword by H. Haken
• Regular and stochastic motion
• Chaotic scattering off the magnetic dipole
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