Algebraic properties of the Dirac oscillator
- 7 February 1991
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 24 (3), 667-677
- https://doi.org/10.1088/0305-4470/24/3/025
Abstract
An algebraic (representation-independent) analysis is presented for the Dirac oscillator in an angular momentum basis. The analysis is based on shift operators for energy and angular momentum, and it is similar to that for a non-relativistic isotropic harmonic oscillator. The shift operators generate all the eigenkets of the Dirac oscillator from a 'vacuum' ket. The shift operations yield energy eigenvalues and certain matrix elements. The relationship to the factorization method is discussed.Keywords
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