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Conditions for Quantum Theory

  1. Jul 23, 2010 #1
    What are the minimal conditions to have a non-relativistic quantum theory like Schrödinger theory?
     
  2. jcsd
  3. Jul 23, 2010 #2

    tom.stoer

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    What do you mean by conditions? Mathematical conditions? Axioms?
     
  4. Jul 24, 2010 #3
    mathematical conditions.
     
  5. Jul 24, 2010 #4

    tom.stoer

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    Roughly speaking you need a separable Hilbert space, hermitian operators representing observables and a time-evolution operator.

    I am not an expert regarding the axiomatic approach.

    Neumann studies axioms, Weyl as well.
     
  6. Jul 25, 2010 #5
    Thank you.
    Is [x,t]≠0 compatible with a time-evolution operator.
     
  7. Jul 25, 2010 #6
    But t is not a dynamic observable.
     
  8. Jul 25, 2010 #7
    What do you mean orienst?
     
  9. Jul 25, 2010 #8

    tom.stoer

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    In qm you have observables represented by hermitean operators like x, p, angular momentum L, Hamiltonian H. But t is not a dynamacila observable, just a kind of parameter. Non-relativistic qm is not symmetric regarding space and time; you would have to use relativistic quantum mechanics.
     
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