From Quantum Field Theory to Quantum Mechanics

  title={From Quantum Field Theory to Quantum Mechanics},
  author={Nuno Barros e S'a and Cl'audio Gomes},
We construct the algebra of operators acting on the Hilbert spaces of Quantum Mechanics for systems of N identical particles from the field operators acting in the Fock space of Quantum Field Theory by providing the explicit relation between the position and momentum operators acting in the former spaces and the field operators acting on the latter. This is done in the context of the non-interacting Klein-Gordon field. It may not be possible to extend the procedure to interacting field theories… Expand

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