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A Hamiltonian Model of Dissipation with Clifford Algebraic Generalizations

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Book cover Clifford Algebras and their Applications in Mathematical Physics

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 55))

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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.

UKC/IMS/A93/5a

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References

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Author information

Authors and Affiliations

  1. Institute of Mathematics and Statistics, University of Kent, Canterbury, Kent, CT2 7NF, England

    E. T. Y. Abou El Dahab & J. Mcewan

Authors
  1. E. T. Y. Abou El Dahab
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  2. J. Mcewan
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Editor information

Editors and Affiliations

  1. Department of Mathematical Analysis, University of Ghent, Ghent, Belgium

    F. Brackx , R. Delanghe  & H. Serras ,  & 

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© 1993 Kluwer Academic Publishers

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Abou El Dahab, E.T.Y., Mcewan, J. (1993). A Hamiltonian Model of Dissipation with Clifford Algebraic Generalizations. In: Brackx, F., Delanghe, R., Serras, H. (eds) Clifford Algebras and their Applications in Mathematical Physics. Fundamental Theories of Physics, vol 55. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2006-7_28

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  • DOI: https://doi.org/10.1007/978-94-011-2006-7_28

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-2347-1

  • Online ISBN: 978-94-011-2006-7

  • eBook Packages: Springer Book Archive

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