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  1. Path: sparky!uunet!noc.near.net!hri.com!enterpoop.mit.edu!eru.mt.luth.se!lunic!sunic!ugle.unit.no!nuug!nntp.uio.no!m14724.unizar.es!rivero
  2. From: rivero@cc.unizar.es (Alejandro)
  3. Newsgroups: sci.math
  4. Subject: Re: Mathematical foundations of QM
  5. Message-ID: <1992Dec29.125531.25824@ulrik.uio.no>
  6. Date: 29 Dec 92 12:55:31 GMT
  7. References: <1992Dec28.154516.203431@uctvax.uct.ac.za>
  8. Sender: news@ulrik.uio.no (Mr News)
  9. Organization: ftuz
  10. Lines: 32
  11. X-Xxmessage-Id: <A76608B963029318@m14724.unizar.es>
  12. X-Xxdate: Tue, 29 Dec 92 13:52:57 GMT
  13. Nntp-Posting-Host: m14724.unizar.es
  14. X-Useragent: Nuntius v1.1.1d12
  15.  
  16. In article <1992Dec28.154516.203431@uctvax.uct.ac.za> ,
  17. naturman@uctvax.uct.ac.za writes:
  18. >The following diagram shows how various mathematical formalisms for QM are
  19. >related. 
  20. >
  21. >Wave Mechanics            Matrix Mechanics
  22. >     ^                          ^
  23. >     |                          |
  24. >     |                          |
  25. >     ----------------------------------------------->Fringe approaches:
  26. >                  |                                   Convex sets
  27. >                  |                                   Transition probabilities
  28. >           Hilbert space QM                           Involution algebras
  29. >                  ^  ^
  30. >                  |   \
  31. >                  |    \
  32. >                  |   Orthomodular lattice approach   
  33. >                  |     ^
  34. >                  |    /
  35. >                  |   /
  36. >        Geometry/closure space approach
  37. >
  38.  
  39. Wow! Where is my beloved C* approach to QFT? Just after
  40. involution algebras? Or before Geometry/closure (I confess I
  41. dont know what it is understood by that name, closure space approach; could
  42. you point some reference)
  43.  
  44.  
  45.  
  46. -
  47. rivero@cc.unizar.es
  48.