A hamiltonian model of dissipation with clifford algebraic generalizations

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
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)
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	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:	20 May 2025 11:33 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/20774 (The current URI for this page, for reference purposes)

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