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Synthesis between Quantum Chaos and QFT.

  1. Jul 24, 2009 #1

    MathematicalPhysicist

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    Are there any attempts to synthesize between these two theories?

    I mean are there methods from QFT being used in QC and vice versa?

    I asked one professor from my univ if I were to research under his belt in QC, would I need some QFT knowledge and he said not. So I wonder are they really unrelated.

    P.s
    The prof specilaises in the interface between QC and number theory.
     
  2. jcsd
  3. Jul 24, 2009 #2

    Demystifier

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    Chaos certainly exists in classical field theory. Thus, it certainly would make sense to study "scares" of classical chaos in quantum field theory. I guess that the appropriate formulation of QFT would be the functional Schrodinger equation in which a quantum state is a function of time and a functional of field configuration in space. However, an explicit calculation would require numerical computation with computers much stronger than currently available.
     
  4. Jul 24, 2009 #3

    MathematicalPhysicist

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    When you say quantum state, do you refer to the wave function of the particle?

    If so, then I guess that also the hamiltonian should be dependent explicitly on time to exhibit a chaotic behaviour.
     
  5. Jul 27, 2009 #4

    Demystifier

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    No. I mean a general QFT state in which the number of particles may be uncertain.
     
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