Linear Hamiltonian systems are integrable with quadratics

Huseyin Kocak

doi:10.1063/1.525330

Linear Hamiltonian systems are integrable with quadratics

Huseyin Kocak

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	2375-2380
Number of pages	6
Journal	Journal of Mathematical Physics
Volume	23
Issue number	12
DOIs	https://doi.org/10.1063/1.525330
State	Published - 1981
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.525330

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abstract = "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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Linear Hamiltonian systems are integrable with quadratics

Abstract

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