Abou El Dahab, E.T.Y. and McEwan, J.
(1993)
*
A hamiltonian model of dissipation with clifford algebraic generalizations.
*
In: Brackx, F. and Delanghe, R. and Serras, H., eds.
Clifford Algebras and their Applications in Mathematical Physics.
Fundamental Theories of Physics
.
Springer, Dordrecht, Netherlands, pp. 243-249.
ISBN 978-0-7923-2347-1.
E-ISBN 978-94-011-2006-7.
(doi:10.1007/978-94-011-2006-7_28)
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Official URL http://dx.doi.org/10.1007/978-94-011-2006-7_28 |

## Abstract

This is a re-formulation, based on the real Clifford algebra R 1,1 over the real phase space R 1,1, of a recent complex unitary phase space formulation of a generalized Hamiltonian (or Birkhoffian) theory applied to the one-dimensional extended damped harmonic oscillator.

Several simplifications and clarifications are gained. There are new suggestions for generalized first quantization schemes. Generalizations to higher dimensional systems and to non-linear systems are also suggested.

Item Type: | Book section |
---|---|

DOI/Identification number: | 10.1007/978-94-011-2006-7_28 |

Additional information: | 3rd International Conference on Clifford Algebras and their Applications in Mathematical Physics DEINZE, BELGIUM, 1993 KLUWER ACAD PUBL; BANK BRUSSEL LAMBERT; UNIV GENT RUG, PUBLIC RELAT OFF |

Uncontrolled keywords: | Poisson Bracket; Clifford Algebra; Quantization Rule; HAMILTONIAN Model; Phase Space Formulation |

Subjects: | Q Science > QA Mathematics (inc Computing science) |

Divisions: | Faculties > Sciences > School of Mathematics Statistics and Actuarial Science |

Depositing User: | R.F. Xu |

Date Deposited: | 22 Oct 2009 23:21 UTC |

Last Modified: | 06 Aug 2019 10:05 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/20774 (The current URI for this page, for reference purposes) |

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