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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© 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
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