INVESTIGADORES
CIRILO Diego Julio
artículos
Título:
Particle Actions in the Superspace, Square Root Operators and Quartions
Autor/es:
DIEGO JULIO CIRILO-LOMBARDO
Revista:
ROMANIAN JOURNAL OF PHYSICS
Editorial:
EDITURA ACAD ROMANE
Referencias:
Año: 2005 p. 875 - 887
ISSN:
1221-146X
Resumen:
In this work the physical and mathematical interpretation of the square root
quantum operators is analyzed from the point of view of the theoretical group. To
this end, we considered the relativistic geometrical action of a particle in the
superspace in order to quantize it and to obtain the spectrum of physical states with
the Hamiltonian remaining in the natural square root form. The generators of the
group SO(3,1) are introduced and the quantization of this model is performed
completely. The obtained spectrum of physical states, with the Hamiltonian operator
in square root form, is compared with the spectrum obtained with the Hamiltonian in
the standard form (i.e: quadratic in momenta). We show that the only states that the
square root Hamiltonian can operate correspond to the representations with the
lowest weights ë = 1/4,3/4
lowest weights ë = 1/4,3/4
lowest weights ë = 1/4,3/4
lowest weights ë = 1/4,3/4i.e: quadratic in momenta). We show that the only states that the
square root Hamiltonian can operate correspond to the representations with the
lowest weights ë = 1/4,3/4
lowest weights ë = 1/4,3/4
lowest weights ë = 1/4,3/4
lowest weights ë = 1/4,3/4