The Operator Algebra of the Quantum Relativistic Oscillator
نویسندگان
چکیده
The operator algebras of a new family of relativistic geometric models of the relativistic oscillator [1] 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. Pacs: 04.62.+v, 03.65.Ge
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تاریخ انتشار 2008