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How to evaluate the commutator of direct product?

  1. May 31, 2012 #1
    assuming that A B C D are all [tex]n\times n [/tex] operators
    how to evaluate the commutator of direct product?
    [tex][A\otimes B, C\otimes D][/tex]
     
  2. jcsd
  3. May 31, 2012 #2

    kith

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    [itex][A\otimes B, C\otimes D][/itex] is defined as [itex]A\otimes B \cdot C\otimes D - C\otimes D \cdot A\otimes B[/itex] which is [itex]AC\otimes BD - CA\otimes DB[/itex].
     
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