### 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 |

State | Published - 1981 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*23*(12), 2375-2380.

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

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 23, no. 12, pp. 2375-2380.

}

TY - JOUR

T1 - Linear Hamiltonian systems are integrable with quadratics

AU - Kocak, Huseyin

PY - 1981

Y1 - 1981

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0002323625&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002323625&partnerID=8YFLogxK

M3 - Article

VL - 23

SP - 2375

EP - 2380

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 12

ER -