Post-Classical Probability Theory

  • Howard BarnumEmail author
  • Alexander Wilce
Part of the Fundamental Theories of Physics book series (FTPH, volume 181)


This chapter offers a brief introduction to what is often called the convex-operational approach to the foundations of quantum mechanics, and reviews selected results, mostly by ourselves and collaborators, obtained using that approach. Broadly speaking, the goal of research in this vein is to locate quantum mechanics (henceforth: QM) within a very much more general, but conceptually very straightforward, generalization of classical probability theory. The hope is that, by regarding QM from the outside, so to say, we shall be able to understand it more clearly. And, in fact, this proves to be the case.


Jordan Algebra Probability Weight Jordan Frame Euclidean Jordan Algebra Primitive Idempotent 
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 Dordrecht 2016

Authors and Affiliations

  1. 1.Department of Physics and AstronomyUniversity of New MexicoAlbuquerqueMexico
  2. 2.Stellenbosch Institute for Advanced Study (STIAS)Wallenberg Research Centre at Stellenbosch UniversityStellenboschSouth Africa
  3. 3.Department of MathematicsSusquehanna UniversitySelinsgroveUSA

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