More about the S=1 relativistic oscillator
Dvoeglazov, Valeri V.
arXiv, 9801059 / Harvested from arXiv
Text on arXiv
Following to the lines drawn in my previous paper about the S=0 relativistic oscillator I build up an oscillatorlike system which can be named as the S=1 Proca oscillator. The Proca field function is obtained in the framework of the Bargmann-Wigner prescription and the interaction is introduced similarly to the S=1/2 Dirac oscillator case regarded by Moshinsky and Szczepaniak. We obtained the intriguing rule of quantization: E = \hbar \omega /2 for the parity states (-1)^j and E = \pm \hbar \omega (j+1/2) for the parity states -(-1)^j. There are no radial excitations. Finally, I apply the above-mentioned procedure to the case of the two-body relativistic oscillator.
Publié le : 1998-01-10
Classification:  High Energy Physics - Theory,  Mathematical Physics 
@article{9801059,
     author = {Dvoeglazov, Valeri V.},
     title = {More about the S=1 relativistic oscillator},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9801059}
}

Dvoeglazov, Valeri V. More about the S=1 relativistic oscillator. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9801059/