CONSERVATION LAWS FOR THE MONOPOLE OSCILLATOR PROBLEM

DOI10.1080/16073606.1997.9631855zbMath0888.70006OpenAlexW1977972103MaRDI QIDQ4360059

V. M. Gorringe, Peter G. L. Leach

Publication date: 1 June 1998

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1997.9631855

zbMATH Keywords

first integralssymmetry generators

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamics of a system of particles, including celestial mechanics (70F99) Linear ordinary differential equations and systems (34A30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (1)

Noetherian first integrals

Cites Work

• Second-order systems with Runge-Lenz-type vectors
• The relationship between the symmetries of and the existence of conserved vectors for the equation r^..+f(r)L+g(r)r=0
• A note on the invariants for the time-dependent oscillator
• The O(3,1) symmetry problem of the charge–monopole interaction
• Quadratic Hamiltonians: The four classes of quadratic invariants, their interrelations and symmetries
• Applications of the Lie theory of extended groups in Hamiltonian mechanics: the oscillator and the Kepler problem

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