A resonance formulation for invariants of particle motion in a one- dimensional time-dependent potential

DOI10.1016/0003-4916(85)90004-1zbMath0572.70020OpenAlexW2078051369MaRDI QIDQ1062483

H. Ralph Lewis, Peter G. L. Leach

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0003-4916(85)90004-1

zbMATH Keywords

Vlasov-Poisson equationsbasis for algorithmcomplex momentum planefunctional form of invariantsone-dimensional time-dependent potentialresonance denominators

Mathematics Subject Classification ID

Hamilton's equations (70H05)

Related Items

Exact invariants in resonance form for time-dependent potentials, The Liouville theorem and accurate plasma simulation, Representations of one-dimensional Hamiltonians in terms of their invariants, Hamiltonian structure and integrability of the stationary Kuramoto–Sivashinsky equation, Schwarzian derivative and Ermakov equation on a time scale, One-dimensional nonautonomous dynamical systems with exact transcendental invariants, Rational functions of momentum as invariants for one-dimensional, time-dependent potentials: Basic theory, Rational functions of momentum as invariants for one-dimensional, time-dependent potentials: Two- and three-resonance cases, Single resonance integrals for two-dimensional Hamiltonians, The time-dependent quantum harmonic oscillator revisited: Applications to quantum field theory

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