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Q-derivative q-factorial

  1. Apr 9, 2007 #1

    tpm

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    Hi..looking at wikipedia

    http://en.wikipedia.org/wiki/Q-analogue


    what's all that stuff about q-derivative q-factorial and so on and how could it be used in QM ??.

    Also due to Uncertainty principle.. is jus the Quantum phase space of q's and p's a Non-commutative version of our classical world ?? i mean if you can describe QM by using some non-conmutative mathematics-geommetry with elements

    [tex] AB-BA=\hbar [A,B] [/tex] the problem is how do you define for Non-commutative Algebras the measure

    [tex] dqdp [/tex] (infintesimal group element so they don't commute) or obtain a Matrix representation of the Group (using matrices)
     
  2. jcsd
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