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Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory

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Abstract

The general aim of this paper is to extend the Modal-Hamiltonian interpretation of quantum mechanics to the case of relativistic quantum mechanics with gauge U(1) fields. In this case we propose that the actual-valued observables are the Casimir operators of the Poincaré group and of the group U(1) of the internal symmetry of the theory. Moreover, we also show that the magnitudes that acquire actual values in the relativistic and in the non-relativistic cases are correctly related through the adequate limit.

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Authors and Affiliations

  1. CONICET-IAFE, Universidad de Buenos Aires, Buenos Aires, Argentina

    Juan Sebastián Ardenghi

  2. CONICET-IAFE-IFIR, Universidad de Buenos Aires, Buenos Aires, Argentina

    Mario Castagnino

  3. CONICET, Universidad de Buenos Aires, Buenos Aires, Argentina

    Olimpia Lombardi

Authors
  1. Juan Sebastián Ardenghi
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  2. Mario Castagnino
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  3. Olimpia Lombardi
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Corresponding author

Correspondence to Juan Sebastián Ardenghi.

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Ardenghi, J.S., Castagnino, M. & Lombardi, O. Modal-Hamiltonian Interpretation of Quantum Mechanics and Casimir Operators: The Road Toward Quantum Field Theory. Int J Theor Phys 50, 774–791 (2011). https://doi.org/10.1007/s10773-010-0614-9

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  • DOI: https://doi.org/10.1007/s10773-010-0614-9

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