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Why saying Quantum Mechanics is pillar of QFT?

  1. Nov 10, 2011 #1
    Please teach me this:
    Why they say QM is a pillar of QFT?Is it correct it is because of the operator of field obeys the Dirac or Klein-Gordon equation of QM?Is the value of fields(not operator of fields) being the wave function in QM?I do not understand why we can consider QFT including QM.
    Thank you very much for your kind helping.
  2. jcsd
  3. Nov 10, 2011 #2
    If we replace the wave function notion by value of field notion,it seem that the formation of Quantum Mechanics is unchanged?(if we consider the value of field is different from wave function)
  4. Nov 10, 2011 #3


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    QM just means a theory that can be put in the form of the QM axioms eg. http://arxiv.org/abs/0707.2832 .

    The axioms of QFT have such a form.

    Usually it is easiest to see that QFT is a form of QM by using the Heisenberg picture rather than the Schroedinger picture of QM.
  5. Nov 11, 2011 #4


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    Ask yourself <What is Quantum Field Theory?>. It might help you by reading the article by Steven Weinberg which can be found on the arxiv.org. As soon as you get an idea about what QFT is, you shall immediately see its connection with the theory of Quantum Mechanics.
  6. Nov 11, 2011 #5

    Physics Monkey

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    QFT is really "just" the quantum mechanics of large local systems. Nevertheless, much new physics emerges when there are many interacting quantum degrees of freedom.
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