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Linear Hamiltonian systems are integrable with quadratics
Journal article   Peer reviewed

Linear Hamiltonian systems are integrable with quadratics

Huseyin Kocak
Journal of mathematical physics, Vol.23(12), pp.2375-2380
1982-12

Abstract

time dependence lie groups integrals algebras classical mechanics hamiltonians differential equations integrable systems
A new proof of a theorem of Williamson on the complete integrability of time‐independent, real, linear Hamiltonian differential equations with quadratic integrals is given. The sets where these integrals are functionally dependent are explicitly found.

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Citation topics
5 Physics
5.56 Quantum Mechanics
5.56.706 Quantum Chaos
Web Of Science research areas
Physics, Mathematical
ESI research areas
Physics

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