 9873 Valeri V. Dvoeglazov (EFUAZ)
 More about the S=1 relativistic oscillator
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Feb 21, 98

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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 BargmannWigner 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:
{\cal E} = \hbar \omega /2 for the parity states (1)^j and
{\cal E} = \pm \hbar \omega (j+1/2) for the parity states
(1)^j. There are no radial excitations. Finally, I apply the
abovementioned procedure to the case of the twobody relativistic
oscillator.
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