Classical Relativistic Many-Body Dynamics

  • M. A. Trump
  • W. C. Schieve

Part of the Fundamental Theories of Physics book series (FTPH, volume 103)

Table of contents

  1. Front Matter
    Pages i-xv
  2. M. A. Trump, W. C. Schieve
    Pages 1-30
  3. M. A. Trump, W. C. Schieve
    Pages 31-52
  4. M. A. Trump, W. C. Schieve
    Pages 53-80
  5. M. A. Trump, W. C. Schieve
    Pages 81-119
  6. M. A. Trump, W. C. Schieve
    Pages 121-186
  7. M. A. Trump, W. C. Schieve
    Pages 187-224
  8. M. A. Trump, W. C. Schieve
    Pages 225-265
  9. M. A. Trump, W. C. Schieve
    Pages 267-277
  10. Back Matter
    Pages 279-368

About this book


in this work, we must therefore assume several abstract concepts that hardly need defending at this point in the history of mechanics. Most notably, these include the concept of the point particle and the concept of the inertial observer. The study of the relativistic particle system is undertaken here by means of a particular classical theory, which also exists on the quantum level, and which is especially suited to the many-body system in flat spacetime. In its fundamental postulates, the theory may be consid­ ered to be primarily the work of E.C.G. Stiickelberg in the 1940's, and of L.P. Horwitz and C. Piron in the 1970's, who may be said to have provided the generalization of Stiickelberg's theory to the many-body system. The references for these works may be found in Chapter 1. The theory itself may be legitimately called off-shell Hamiltonian dynamics, parameterized relativistic mechanics, or even classical event dynamics. The most important feature of the theory is probably the use of an invariant world time parameter, usually denoted T, which provides an evolution time for the system in such as way as to allow manifest co­ variance within a Hamiltonian formalism. In general, this parameter is neither a Lorentz-frame time, nor the proper time of the particles in the system.


Gravity Potential Relativity astrophysics classical mechanics

Authors and affiliations

  • M. A. Trump
    • 1
  • W. C. Schieve
    • 1
  1. 1.Centre for Studies in Statistical Mechanics and Complex Systems, Department of PhysicsUniversity of Texas at AustinAustinUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1999
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-5232-2
  • Online ISBN 978-94-015-9303-8
  • Buy this book on publisher's site