Artículos de revistas
Coherent states, vacuum structure and infinite component relativistic wave equations
Fecha
2016-01Registro en:
Cirilo, Diego Julio; Coherent states, vacuum structure and infinite component relativistic wave equations; World Scientific; International Journal Of Geometric Methods In Modern Physics; 13; 1; 1-2016; 1-10; 1650004
0219-8878
1793-6977
CONICET Digital
CONICET
Autor
Cirilo, Diego Julio
Resumen
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 nonthermal 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 M p(n).