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More about the S = 1 relativistic oscillator

Authors
  • Dvoeglazov, Valeri V.
Publication Date
Nov 01, 1997
Identifiers
DOI: 10.1023/A:1003653619424
OAI: oai:inspirehep.net:453213
Source
INSPIRE-HEP
Keywords
License
Unknown
External links

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.

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