Linear Hamiltonian systems are integrable with quadratics

Research output: Contribution to journalArticle

10 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)2375-2380
Number of pages6
JournalJournal of Mathematical Physics
Volume23
Issue number12
StatePublished - 1981
Externally publishedYes

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Hamiltonians
Hamiltonian Systems
Differential equations
Linear Systems
Complete Integrability
differential equations
theorems
Differential equation
Dependent
Theorem

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

Linear Hamiltonian systems are integrable with quadratics. / Kocak, Huseyin.

In: Journal of Mathematical Physics, Vol. 23, No. 12, 1981, p. 2375-2380.

Research output: Contribution to journalArticle

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