Linear Hamiltonian systems are integrable with quadratics

Huseyin Kocak

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


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
Issue number12
StatePublished - 1981
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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