### 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) |
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Pages (from-to) | 2375-2380 |

Number of pages | 6 |

Journal | Journal of Mathematical Physics |

Volume | 23 |

Issue number | 12 |

State | Published - Dec 1 1981 |

Externally published | Yes |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Kocak, H. (1981). Linear Hamiltonian systems are integrable with quadratics.

*Journal of Mathematical Physics*,*23*(12), 2375-2380.