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I Subspaces in QM

  1. Mar 4, 2016 #1
    Suppose we have an observable with a certain number of eigenstates. We would normalize all these possibilities to 1 in order to give each eigenstate an appropriate probability of being measured. Can we then only consider the data of many measurements for only a subset of those eigenstates and normalize that subset to 1 and get different probabilities for considering only that subset of alternatives? Is that subset called a subspace of the original Hilbert space? And can this be done for any arbitrary subset of the original eigenstates?
     
    Last edited: Mar 4, 2016
  2. jcsd
  3. Mar 5, 2016 #2

    Demystifier

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    Yes, yes and yes.
     
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