Modal Hamiltonian interpretation of quantum mechanics and Casimir operators: the road towards quantum field theory

Details Modal Hamiltonian interpretation of quantum mechanics and Casimir operators: the road towards quantum field theory Modal Hamiltonian interpretation of quantum mechanics and Casimir operators: the road towards quantum field theory

2010-12-05

arxiv.org/abs/1012.0970v1

Int. J. Theor. Phys.,(2010)

Physics

Quantum Physics

21 pages, in press

Scientific paper

10.1007/s10773-010-0614-9

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) elds. In this case we propose that the actual- valued observables are the Casimir operators of the Poincar\'e 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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