English

More about the S=1 relativistic oscillator

High Energy Physics - Theory 2007-05-23 v1 Mathematical Physics math.MP

Abstract

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.

Cite

@article{arxiv.hep-th/9801059,
  title  = {More about the S=1 relativistic oscillator},
  author = {Valeri V. Dvoeglazov},
  journal= {arXiv preprint arXiv:hep-th/9801059},
  year   = {2007}
}

Comments

ReVTeX file, 7pp., no figures

R2 v1 2026-07-22T16:08:39.514Z