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Classical Relativistic Many-Body Dynamics (Paperback, Softcover reprint of the original 1st ed. 1999)
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Classical Relativistic Many-Body Dynamics (Paperback, Softcover reprint of the original 1st ed. 1999)
Series: Fundamental Theories of Physics, 103
Expected to ship within 10 - 15 working days
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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."
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