Coherent states, vacuum structure and infinite component relativistic wave equations
It is commonly claimed in the recent literature that certain solutions to wave equations of positive energy of Dirac-type with internal variables are characterized by a non-thermal spectrum. As part of that statement, it was said that the transformations and symmetries involved in equations of such...
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World Scientific Publishing Co. Pte Ltd
2016
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| 100 | 1 | |a Cirilo-Lombardo, D.J. | |
| 245 | 1 | 0 | |a Coherent states, vacuum structure and infinite component relativistic wave equations |
| 260 | |b World Scientific Publishing Co. Pte Ltd |c 2016 | ||
| 270 | 1 | 0 | |m Cirilo-Lombardo, D.J.; National Institute of Plasma Physics (INFIP), Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET), Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad UniversitariaArgentina; email: diego777jd@gmail.com |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Yu., P., Stepanovsky, On massless fields and infinite component relativistic wave equations (2001) Nucl. Phys. B (Proc. Suppl.), 102, pp. 407-411 | ||
| 504 | |a Yu., P., Stepanovsky, Sonoluminescence and black holes as sources of squeezed light (1998) Supersymmetry and Quantum Field Theory, 509, pp. 246-251. , eds. J. Wess and V. Akulov, Lecture Notes in Physics (Springer-Verlag Berlin Heidelberg | ||
| 504 | |a Sannikov, S.S., On noncompact symmetry group of oscillator (1965) J. Exp. Theory Phys., 49, p. 1913. , (in Russian | ||
| 504 | |a Majorana, E., Teoria relativistica di particelle con momento intrinseco arbitrario (1932) Nuovo Cimento, 9, p. 335 | ||
| 504 | |a Dirac, P.A.M., A positive-energy relativistic wave equation (1971) Proc. Roy. Soc. A, 322, p. 435 | ||
| 504 | |a Cirilo-Lombardo, D.J., The geometrical properties of Riemannian superspaces, exact solutions and the mechanism of localization (2008) Phys. Lett. B, 661, pp. 186-191 | ||
| 504 | |a Cirilo-Lombardo, D.J., Non-compact groups, coherent states, relativistic wave equations and the harmonic oscillator (2007) Fo U N D. P H y S., 37, pp. 919-950 | ||
| 504 | |a Cirilo-Lombardo, D.J., Non-compact groups, coherent states, relativistic wave equations and the harmonic oscillatorII: Physical and geometrical considerations (2009) Fo U N D. Phys., 39, pp. 373-396 | ||
| 504 | |a Cirilo-Lombardo, D.J., Geometrical properties of Riemannian superspaces, observ-ables and physical states, Europ (2012) Phys. J., 72 (7), p. 2079 | ||
| 504 | |a Cirilo-Lombardo, D.J., Afonso, V.I., (2012) Phys. Lett. A, 376, pp. 3599-3603 | ||
| 504 | |a Cirilo-Lombardo, D.J., Prudencio, T., Quantum Gravity: Physics from superge-ometries (2014) Int. J. Geom. Meth. Mod. Phys., 11, p. 1450067 | ||
| 504 | |a Biswadeb Dutta, A., Mehta, C.L., Mukunda, N., Squeezed states, metaplectic group, and operator Mbius transformations (1994) Phys. Rev. A, 50, p. 39 | ||
| 504 | |a Jordan, T.F., Mukunda, N., Pepper, S.V., Irreducible representations of generalized oscillator operators (1963) J. Math. Phys., 4, p. 1089 | ||
| 504 | |a Perelomov, A., (1986) Generalized Coherent States and their Applications Texts and Monographs in Physics, , Springer, Berlin, Heidelberg | ||
| 504 | |a Klauder, J.R., Skagerstam, B.-S., (1985) Coherent States-Applications in Physics and Mathematical Physics (World Scientific, Singapore | ||
| 504 | |a Klauder, J.R., Sudarshan, E.C.G., (1968) Fundamentals of Quantum Optics, , Benjamin NY | ||
| 520 | 3 | |a It is commonly claimed in the recent literature that certain solutions to wave equations of positive energy of Dirac-type with internal variables are characterized by a non-thermal spectrum. As part of that statement, it was said that the transformations and symmetries involved in equations of such type corresponded to a particular representation of the Lorentz group. In this paper, we give the general solution to this problem emphasizing the interplay between the group structure, the corresponding algebra and the physical spectrum. This analysis is completed with a strong discussion and proving that: (i) the physical states are represented by coherent states; (ii) the solutions in [Yu. P. Stepanovsky, Nucl. Phys. B (Proc. Suppl.) 102 (2001) 407-411; 103 (2001) 407-411] are not general, (iii) the symmetries of the considered physical system in [Yu. P. Stepanovsky, Nucl. Phys. B (Proc. Suppl.) 102 (2001) 407-411; 103 (2001) 407-411] (equations and geometry) do not correspond to the Lorentz group but to the fourth covering: the Metaplectic group Mp(n). © 2016 World Scientific Publishing Company. |l eng | |
| 593 | |a National Institute of Plasma Physics (INFIP), Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET), Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, 1428, Argentina | ||
| 593 | |a Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna (Moscow Region), 141980, Russian Federation | ||
| 690 | 1 | 0 | |a COHERENT STATES |
| 690 | 1 | 0 | |a GEOMETRY AND TOPOLOGY |
| 690 | 1 | 0 | |a GROUP THEORY |
| 690 | 1 | 0 | |a RELATIVISTIC WAVE EQUATIONS |
| 773 | 0 | |d World Scientific Publishing Co. Pte Ltd, 2016 |g v. 13 |k n. 1 |p Int. J. Geom. Methods Mod. Phys. |x 02198878 |t International Journal of Geometric Methods in Modern Physics | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-84952984667&doi=10.1142%2fS0219887816500043&partnerID=40&md5=e86b58344cf943cb9c79a858e17f78a5 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1142/S0219887816500043 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_02198878_v13_n1_p_CiriloLombardo |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02198878_v13_n1_p_CiriloLombardo |y Registro en la Biblioteca Digital |
| 961 | |a paper_02198878_v13_n1_p_CiriloLombardo |b paper |c PE | ||
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