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THE RELATIVISTIC OSCILLATOR ALGEBRA REVISITED IN THE QUANTUM GROUPS FORMALISM.
- Source :
- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics; 12/30/2007, Vol. 22 Issue 32, p6169-6181, 13p
- Publication Year :
- 2007
-
Abstract
- We revisit the harmonic oscillator algebra in an indefinite metric by reinterpreting consistently the time-like components in a way compatible with a positive-definite metric. We show that, despite its unusual features, the relativistic oscillator algebra can be derived starting from the Euclidean q-oscillator algebra. The consistency of this isomorphism is examined at different levels including the possible implication on the dynamics of the two formalisms by means of their respective Hamiltonians. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0217751X
- Volume :
- 22
- Issue :
- 32
- Database :
- Complementary Index
- Journal :
- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics
- Publication Type :
- Academic Journal
- Accession number :
- 28409793
- Full Text :
- https://doi.org/10.1142/S0217751X07038219