Research Catalog

The special theory of relativity : a mathematical exposition / Anadijiban Das, author.

Title
The special theory of relativity : a mathematical exposition / Anadijiban Das, author.
Author
Das, Anadijiban.
Publication
New York : Springer, 1993.

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StatusVol/DateFormatAccessCall NumberItem Location
1993TextRequest in advance QC173.65 .D38 1993 1993Off-site

Details

Description
vii, 214 p. : ill.; 24 cm.
Summary
Based on courses taught at the University of Dublin, Carnegie Mellon University, and mostly at Simon Fraser University, this book presents the special theory of relativity from a mathematical point of view. It begins with the axioms of the Minkowski vector space and the flat spacetime manifold. Then it discusses the kinematics of special relativity in terms of Lorentz tranformations, and treats the group structure of Lorentz transformations. Extending the discussion to spinors, the author shows how a unimodular mapping of spinor (vector) space can induce a proper, orthochronous Lorentz mapping on the Minkowski vector space. The second part begins with a discussion of relativistic particle mechanics from both the Lagrangian and Hamiltonian points of view. The book then turns to the relativistic (classical) field theory, including a proof of Noether's theorem and discussions of the Klein-Gordon, electromagnetic, Dirac, and non-abelian gauge fields. The final chapter deals with recent work on classical fields in an eight-dimensional covariant phase space.
Subject
  • Cytology
  • Mathematical physics
  • Physics
  • Special relativity (Physics) > Mathematics
Bibliography (note)
  • Includes bibliographical references and index.
Processing Action (note)
  • committed to retain
Contents
Four-dimensional vector spaces and linear mappings -- Flat Minkowski space-time manifold M4 and tensor fields -- The Lorentz transformation -- Pauli matrices, spinors, Dirac matricies and Dirac bispinors -- The special relativistic mechanics -- The special relativisitic classical field theory -- The extended (or covariant) phase space and classical fields.
ISBN
  • 0387940421
  • 3540940421
LCCN
^^^93010256^
Owning Institutions
Harvard Library