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The Special Relativistic Mechanics

  • Anadijiban Das
Chapter
  • 620 Downloads
Part of the Universitext book series (UTX)

Abstract

We shall start with a short review of the prerelativistic mechanics of Newton, Lagrange, and Hamilton. For simplicity we restrict ourselves to systems of a single-point particle having (constant) mass m > 0. Let the parameterized motion curve be given by xα = X α(t), in the Euclidean space E3. Let the three components of the force vector be given by f α(t, x, v), which are functions of seven real variables. Here t stands for the time variable, x = (x1,x2, x3) are the spatial coordinates in a Cartesian coordinate system, and v = (v1, v2, v3) are the velocity variables.

Keywords

Homogeneous Function Canonical Equation Motion Curve Hamiltonian Mechanic Extended Phase Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    P. G. Bergman, Introduction to the Theory of Relativity, Prentice-Hall, New Jersey, 1942. [pp. 134, 158]Google Scholar
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    P. A. M. Dirac, Canad. J. Math. 2 (1950), 129–148.MathSciNetzbMATHCrossRefGoogle Scholar
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    I. M. Gelfand and S. V. Fomin, Calculus of variations, Prentice-Hall, New Jersey, 1963. [p. 128]Google Scholar
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    C. Lanczos, The variational principles of mechanics, University of Toronto Press, Toronto, 1977. [pp. 126, 128, 131, 134, 136, 137]Google Scholar
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    J. L. Synge, Relativity: The special theory, North-Holland, Amsterdam, 1964. [pp. 141, 145, 147, 150]Google Scholar
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    —, Classical dynamics, Reprint from Handbuch der Physik, Springer-Verlag, Berlin, 1960. [p. 157]Google Scholar

Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Anadijiban Das
    • 1
  1. 1.Department of Mathematics and StatisticsSimon Fraser UniversityBurnabyCanada

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