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Operators and Transformations

  • David Hestenes
Part of the Fundamental Theories of Physics book series (FTPH, volume 15)

Abstract

This chapter develops a system of mathematical concepts of great utility in all branches of physics. Linear operators and transformations are represented in terms of geometric algebra to facilitate computation. The group theory of rotations, reflections and translations is discussed in detail. The most important result is a compact spinor representation of finite rotations, which is shown to be a powerful computational device. This representation is used to develop the kinematics of rigid motions, which, in turn, is applied to the description of reference frames and motion with respect to moving frames.

Keywords

Linear Operator Canonical Form Coriolis Force Inertial Frame Symmetric Operator 
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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Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1987

Authors and Affiliations

  • David Hestenes
    • 1
  1. 1.Department of PhysicsArizona State UniversityTempeUSA

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