Artículo

Estamos trabajando para conseguir la versión final de este artículo
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

The nonrelativistic limit of the centrally extended Poincaŕ 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 Poincaŕ 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, Found. Phys. (submitted)]. © 2009 American Institute of Physics.

Registro:

Documento: Artículo
Título:The nonrelativistic limit of (central-extended) Poincaŕ group and some consequences for quantum actualization
Autor:Ardenghi, J.S.; Castagnino, M.; Campoamor-Stursberg, R.
Filiación:Instituto de Astronomía y Física Del Espacio, CC67 suc. 26, 1428 Buenos Aires, Argentina
I.M.I., Universidad Complutense de Madrid, 3 Plaza de Ciencias, E-28040 Madrid, Spain
Año:2009
Volumen:50
Número:10
DOI: http://dx.doi.org/10.1063/1.3243822
Título revista:Journal of Mathematical Physics
Título revista abreviado:J. Math. Phys.
ISSN:00222488
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v50_n10_p_Ardenghi

Referencias:

  • Van Fraassen, B.C., (1972) A Formal Approach to Philosophy of Science, Paradigms and Paradoxes: The Philosophical Challenge of the Quantum Domain, pp. 303-366. , University of Pittsburgh Press, Pittsburgh
  • Kochen, S., (1985) Symposium on the Foundations of Modern Physics, pp. 151-169. , World Scientific, Singapore
  • Bub, J., (1997) Interpreting the Quantum World, , Cambridge University Press, Cambridge
  • Lombardi, O., Castagnino, M., (2008) Stud. Hist. Philos. Mod. Phys, 39, p. 380. , 10.1016/j.shpsb.2008.01.003
  • Castagnino, M., Lombardi, O., (2008) J. Phys.: Conf. Ser., 128, p. 012014. , 1742-6588,. 10.1088/1742-6596/128/1/012014
  • Mermin, N.D., (1998) Pramana, 51, p. 549. , 0304-4289,. 10.1007/BF02827447
  • Ardenghi, J.S., Castagnino, M., Lombardi, O., Found. Phys., , 0015-9018 (submitted)
  • Weyl, H., (1931) The Theory of Groups and Quantum Mechanics, , Dover, New York
  • Ballentine, L., (1998) Quantum Mechanics, A Modern Development, , World Scientific, Singapore
  • Generators Ji define the SO (3) grouand generators Pi, Ji, define the ISO (3) group: the inhomogeneous rotation grouin three dimensions. Actually is the largest subgrouthat remains invariant by the Inönü-Wigner contraction of the Poincaŕ on the Galilei grou; Bacry, M., Levy Ĺblond, J.-M., (1968) J. Math. Phys., 9, p. 1605. , 0022-2488,. 10.1063/1.1664490
  • Cariena, J.F., Del Olmo, M.A., Santander, M., (1981) J. Phys. A, 14, p. 1. , 0305-4470,. 10.1088/0305-4470/14/1/005
  • By a trivial extension of a Lie algebra g we mean the direct sum gM, where M is an additional commuting generator; See also in Ref. for a c=1 deduction; For the same reasons explained in Ref., where the transformation H→W is introduced, and the nonrelativistic case analyzed; Haag, R., (1993) Local Quantum Physics, , Springer-Verlag, Berlin
  • Mott, N.F., (1929) Proc. R. Soc. London, Ser. A, 126, p. 79. , 0950-1207,. 10.1098/rspa.1929.0205
  • Castagnino, M., Laura, R., (2000) Int. J. Theor. Phys., 39, p. 1767. , 0020-7748, 10.1023/A:1003681328934
  • Castagnino, M., Laura, R., (2000) Phys. Rev. A, 62, p. 022107. , 1050-2947. 10.1103/PhysRevA.62.022107
  • Castagnino, M., Lombardi, O., Decoherence time in self-induced decoherence (2005) Physical Review A - Atomic, Molecular, and Optical Physics, 72 (1), p. 9. , http://oai.aps.org/oai/?verb=ListRecords&metadataPrefix= oai_apsmeta_2&set=journal:PRA:72, DOI 10.1103/PhysRevA.72.012102, 012102
  • Castagnino, M., Lombardi, O., Self-induced decoherence: A new approach (2004) Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern Physics, 35 (1), pp. 73-107. , DOI 10.1016/j.shpsb.2003.03.001, PII S135521980300087X
  • Beltrametti, E.G., Blasi, A., (1966) Phys. Lett., 20, p. 62. , 0370-2693,. 10.1016/0031-9163(66)91048-1
  • Levy Ĺblond, J.-M., (1965) Ann. Inst. Henri Poincare, Sect. A, 3, p. 1. , 0020-2339

Citas:

---------- APA ----------
Ardenghi, J.S., Castagnino, M. & Campoamor-Stursberg, R. (2009) . The nonrelativistic limit of (central-extended) Poincaŕ group and some consequences for quantum actualization. Journal of Mathematical Physics, 50(10).
http://dx.doi.org/10.1063/1.3243822
---------- CHICAGO ----------
Ardenghi, J.S., Castagnino, M., Campoamor-Stursberg, R. "The nonrelativistic limit of (central-extended) Poincaŕ group and some consequences for quantum actualization" . Journal of Mathematical Physics 50, no. 10 (2009).
http://dx.doi.org/10.1063/1.3243822
---------- MLA ----------
Ardenghi, J.S., Castagnino, M., Campoamor-Stursberg, R. "The nonrelativistic limit of (central-extended) Poincaŕ group and some consequences for quantum actualization" . Journal of Mathematical Physics, vol. 50, no. 10, 2009.
http://dx.doi.org/10.1063/1.3243822
---------- VANCOUVER ----------
Ardenghi, J.S., Castagnino, M., Campoamor-Stursberg, R. The nonrelativistic limit of (central-extended) Poincaŕ group and some consequences for quantum actualization. J. Math. Phys. 2009;50(10).
http://dx.doi.org/10.1063/1.3243822