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Text File  |  1993-01-27  |  788 b   |  22 lines
  1. Newsgroups: sci.physics
  2. Path: sparky!uunet!enterpoop.mit.edu!galois!riesz!jbaez
  3. From: jbaez@riesz.mit.edu (John C. Baez)
  4. Subject: Re: Poisson brackets, symplectic geometry, quantization - and everything!
  5. Message-ID: <1993Jan27.015125.22979@galois.mit.edu>
  6. Sender: news@galois.mit.edu
  7. Nntp-Posting-Host: riesz
  8. Organization: MIT Department of Mathematics, Cambridge, MA
  9. References: <25400@galaxy.ucr.edu>
  10. Date: Wed, 27 Jan 93 01:51:25 GMT
  11. Lines: 9
  12.  
  13. I wrote:
  14.  
  15. Both these approaches [to quantization]
  16. work fine for the LINEAR case in which your phase
  17. space is just C^n (or, basically the same, the cotangent bundle of R^n).
  18. Moreover both generalize the INFINITE-DIMENSIONAL linear case, which is what 
  19. comes up in quantum field theory,
  20.  
  21. I meant "generalize to the infinite-dimensional case".
  22.