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The nonrelativistic limit of (central-extended) Poincaré group and some consequences for quantum actualization

J. Math. Phys. 50, 103526 (2009); doi:10.1063/1.3243822

Published 15 October 2009

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Juan S. Ardenghi,1 M. Castagnino,1 and R. Campoamor-Stursberg2
1Instituto de Astronomía y Física del Espacio, CC67 suc. 26, 1428 Buenos Aires, Argentina
2I.M.I.-Universidad Complutense de Madrid, 3 Plaza de Ciencias, E-28040 Madrid, Spain
The nonrelativistic limit of the centrally extended Poincaré group is considered and their consequences in the modal Hamiltonian interpretation of quantum mechanics are discussed [O. Lombardi and M. Castagnino, Stud. Hist. Philos. Mod. Phys 39, 380 (2008); J. Phys, Conf. Ser. 128, 012014 (2008)]. Through the assumption that in quantum field theory the Casimir operators of the Poincaré group actualize, the nonrelativistic limit of the latter group yields to the actualization of the Casimir operators of the Galilei group, which is in agreement with the actualization rule of previous versions of modal Hamiltonian interpretation [Ardenghi et al., Found. Phys. (submitted)]. ©2009 American Institute of Physics
History: Received 29 April 2009; accepted 2 September 2009; published 15 October 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/103526/1
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0022-2488 (print)   1089-7658 (online)
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REFERENCES (21)
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