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Shankar- Simultaneous Diagonalisation of Hermitian Matrices

  1. Jun 29, 2015 #1
    Folks,

    What is the idea or physical significance of simultaneous diagonalisation? I cannot think of anything other than playing a role in efficient computation algorithms?

    Thanks
     
  2. jcsd
  3. Jul 1, 2015 #2
    If operators are simultaneously diagonalizable, then they commute -> no uncertainty relation.
     
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