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) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:20774)
The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
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 |
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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: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | R.F. Xu |
Date Deposited: | 22 Oct 2009 23:21 UTC |
Last Modified: | 16 Nov 2021 09:58 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/20774 (The current URI for this page, for reference purposes) |
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