Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Clifford-algebraic formulation of nonlinear conformal transformations in electrodynamics

Leehwa Yeh

Abstract

We derive a set of Clifford-algebraic formulas for two major nonlinear conformal transformations of the physical quantities related to Maxwell's equations. The superiority of these formulas over their vector-tensorial counterparts are demonstrated through three illustrative examples.

Clifford-algebraic formulation of nonlinear conformal transformations in electrodynamics

Abstract

We derive a set of Clifford-algebraic formulas for two major nonlinear conformal transformations of the physical quantities related to Maxwell's equations. The superiority of these formulas over their vector-tensorial counterparts are demonstrated through three illustrative examples.
Paper Structure (22 sections, 126 equations)

This paper contains 22 sections, 126 equations.

Table of Contents

  1. I. INTRODUCTION
  2. II. PRELIMINARIES
  3. III. DERIVATIONS OF THE FORMULAS
  4. IV. APPLICATIONS OF THE FORMULAS
  5. V. DISCUSSION AND CONCLUSION
  6. Appendix I: $C\!\ell_{1,3}\longrightarrow C\!\ell_{3}$ CONVERSION
  7. Appendix II: SUMMARY OF FORMULAS