Search for first integrals in relativistic time-dependent Hamiltonian systems

DOI10.1063/1.530786zbMath0798.70012OpenAlexW2070062689MaRDI QIDQ4296079

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Publication date: 15 June 1994

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

Full work available at URL: https://doi.org/10.1063/1.530786

zbMATH Keywords

integrable equationspotentialsrelativistic harmonic oscillator

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

Related Items (1)

( 1 + 1 ) -dimensional separation of variables

Cites Work

• Rational functions of momentum as invariants for one-dimensional, time-dependent potentials: Basic theory
• Invariants of particle motion in one-dimensional time-dependent potentials
• Integrable Hamiltonians with higher transcendental invariants
• A direct approach to finding exact invariants for one-dimensional time-dependent classical Hamiltonians
• First integrals for some nonlinear time-dependent Hamiltonian systems
• Schrödinger equation with time-dependent boundary conditions
• Representations of one-dimensional Hamiltonians in terms of their invariants
• One-dimensional nonautonomous dynamical systems with exact transcendental invariants
• First integrals and symmetries of time-dependent Hamiltonian systems

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