Advertisement

Double Cones are Intervals

  • V. S. Sunder
Part of the Operator Theory Advances and Applications book series (OT, volume 207)

Abstract

The purpose of this short note is to point out the following fact and some of its pleasant ‘consequences’: the so-called double-cones in (4-dimensional) Minkowski space are nothing but the intervals (A, B) = {C ∋ H 2: A < C < B} in the space H2 of 2 × 2 complex Hermitian matrices, where we write X < Y if (Y − X) is positive-definite.

Mathematics Subject Classification (2000)

47N50 

Keywords

Minkowski space light cones Hermitian matrices positive-definite matrices 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [PRH]
    Paul R. Halmos, Finite-dimensional vector spaces, van Nostrand, Princeton, 1958.zbMATHGoogle Scholar
  2. [BAU]
    H. Baumgaertel, Operator algebraic Methods in Quantum Field Theory. A Set of Lectures, (Akademie Verlag, 1995).Google Scholar

Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  • V. S. Sunder
    • 1
  1. 1.The Institute of Mathematical SciencesChennaiIndia

Personalised recommendations