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Differential Geometry and Quantum Mechanics

  1. Feb 15, 2010 #1
    After finding and reading Geroch's notes on Quantum Mechanics formulated within Differential Geometry, I was wondering if there are other books that treat Quantum Mechanics in a similar fashion, focusing upon the geometrical aspects of Quantum Mechanics in order to formulate it.
  2. jcsd
  3. Feb 15, 2010 #2


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    Could you give the reference to Geroch's formulation of QM that you read?
  4. Feb 15, 2010 #3
    Certainly, a copy can be found http://physics.syr.edu/~salgado/geroch.notes/geroch-gqm.pdf" [Broken].
    Last edited by a moderator: May 4, 2017
  5. Feb 15, 2010 #4
    Did you read von Neumann's classic "The Mathematical Foundations of Quantum Mechanics" ?
    It is basically the starting point of non-commutative geometry.
    I do not claim it's better than Geroch's book, which I have not read (!), but in von Neumann's style, nothing is left unproven. Basically, no prerequisite is necessary.
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