The Operator Algebra of the Quantum Relativistic Oscillator
Cotăescu, Ion I. ; Draganescu, Gheorghe
arXiv, 9705012 / Harvested from arXiv
Text on arXiv
The operator algebras of a new family of relativistic geometric models of the relativistic oscillator are studied. It is shown that, generally, the operator of number of quanta and the pair of the shift operators of each model are the generators of a non-unitary representation of the $so(1,2)$ algebra, except a special case when this algebra becomes the standard one of the non-relativistic harmonic oscillator.
Publié le : 1997-05-12
Classification:  Mathematical Physics 
@article{9705012,
     author = {Cot\u aescu, Ion I. and Draganescu, Gheorghe},
     title = {The Operator Algebra of the Quantum Relativistic Oscillator},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9705012}
}

Cotăescu, Ion I.; Draganescu, Gheorghe. The Operator Algebra of the Quantum Relativistic Oscillator. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9705012/