On a dynamical symmetry group of the relativistic linear singular oscillator

Details On a dynamical symmetry group of the relativistic linear singular oscillator On a dynamical symmetry group of the relativistic linear singular oscillator

2006-08-26

arxiv.org/abs/math-ph/0608057v2

Europhys. Lett., 76 (2), pp. 175--181 (2006)

Physics

Mathematical Physics

7 pages, EPL style LaTeX file, accepted for publication in Europhysics Letters

Scientific paper

10.1209/epl/i2006-10259-5

An exact approach for the factorization of the relativistic linear singular
oscillator is proposed. This model is expressed by the finite-difference
Schr\"odinger-like equation. We have found finite-difference raising and
lowering operators, which are with the Hamiltonian operator form the close Lie
algebra of the $SU(1, 1)$ group.

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