Relativistic-particle interactions-a third world view

Balachandran, A. P. ; Marmo, G. ; Mukunda, N. ; Nilsson, J. S. ; Simoni, A. ; Sudarshan, E. C. G. ; Zaccaria, F. (1982) Relativistic-particle interactions-a third world view Il Nuovo Cimento A(1971-1996), 67 (2). pp. 121-142. ISSN 0369-3546

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A new form for describing interacting relativistic classical particles with invariant world-lines is presented. In contrast to the use of independent particle variables or of «centre of mass» and relative co-ordinates previously considered in the literature, we introduce a Lorentz matrix and an associated conjugate four-dimensional angular momentum as collective variables; these are supplemented with a suitable number of internal variables. The methods of constrained Hamiltonian dynamics are used to ensure that the number of independent degrees of freedom corresponds precisely to that for a system of a given number of particles. Independent particle variables can be defined in the formalism, and interactions included. The eleventh-generator form for relativistic Hamiltonian dynamics is essential to make relativistic invariance, invariant world-lines and interaction compatible with one another.

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
ID Code:25377
Deposited On:06 Dec 2010 13:29
Last Modified:08 Jun 2011 05:04

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