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Some First Order Linear Operators in Physics

  • Fabrizio Colombo
  • Irene Sabadini
  • Franciscus Sommen
  • Daniele C. Struppa
Part of the Progress in Mathematical Physics book series (PMP, volume 39)

Abstract

It is well known that among the main tools to find fields equations are the variational principles. In this introduction we wish to sketch some general underlying ideas. Suppose considering a physical system which requires several fields ø j (x), j = 1,…, n to be specified We can suppose that the field ø j (x) is real (if it is complex the procedure can be repeated taking into account both the real and imaginary parts). The index j may label the components of the same field, for example the components of a vector potential, or it can refer to different independent fields.

Keywords

Dirac Equation Light Cone Division Algebra Clifford Algebra Magnetic Monopole 
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

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Fabrizio Colombo
    • 1
  • Irene Sabadini
    • 1
  • Franciscus Sommen
    • 2
  • Daniele C. Struppa
    • 3
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly
  2. 2.Faculty of Engineering Department of Mathematical AnalysisGhent UniversityGhentBelgium
  3. 3.Department of Mathematical SciencesGeorge Mason UniversityFairfaxUSA

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