More about the S=1 relativistic oscillator

1998/01/11 by Valeri V. Dvoeglazov
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP

paper · pdf

published as Int.J.Theor.Phys. 39 (2000) 2011-2017 · ReVTeX file, 7pp., no figures

arxiv created 1998/01/11 · arxiv updated 2009/11/30

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 = ℏ ω/2 for the parity states (-1)^j and E = ± ℏ ω(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.

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