In this paper we revise the classical analog of f-oscillators, a generalization of q-oscillators given in Man'ko et al. (1997) [8], in the framework of classical spectrum generating algebras (SGA) introduced in Kuru and Negro (2008) [9]. We write down the deformed Poisson algebra characterizing the entire family of non-linear oscillators and construct its general solution algebraically. The latter, covering the full range of f-deformations, shows an energy dependence both in the amplitude and the frequency of the motion.

Kullock, R., Latini, D. (2016). Towards classical spectrum generating algebras for f-deformations. PHYSICS LETTERS A, 380(3), 327-332 [10.1016/j.physleta.2015.10.063].

Towards classical spectrum generating algebras for f-deformations

LATINI, DANILO
2016

Abstract

In this paper we revise the classical analog of f-oscillators, a generalization of q-oscillators given in Man'ko et al. (1997) [8], in the framework of classical spectrum generating algebras (SGA) introduced in Kuru and Negro (2008) [9]. We write down the deformed Poisson algebra characterizing the entire family of non-linear oscillators and construct its general solution algebraically. The latter, covering the full range of f-deformations, shows an energy dependence both in the amplitude and the frequency of the motion.
Kullock, R., Latini, D. (2016). Towards classical spectrum generating algebras for f-deformations. PHYSICS LETTERS A, 380(3), 327-332 [10.1016/j.physleta.2015.10.063].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/290988
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