Article
One-parameter Darboux-deformed Fibonacci numbers
Modern Physics Letters A
(2023)
Abstract
One-parameter Darboux deformations are effected for the simple ODE satisfied by the continuous generalizations of the Fibonacci sequence recently discussed by Faraoni and Atieh [Symmetry 13, 200 (2021)], who promoted a formal analogy with the Friedmann equation in the FLRW homogeneous cosmology. The method allows the introduction of deformations of the continuous Fibonacci sequences, hence of Darboux-deformed Fibonacci (non integer) numbers. Considering the same ODE as a parametric oscillator equation, the Ermakov-Lewis invariants for these sequences are also discussed.
Keywords
- Darboux deformations,
- Friedmann equation
Disciplines
Publication Date
Spring February 10, 2023
DOI
https://doi.org/10.1142/S0217732323500220
Citation Information
Haret C Rosu and S. C. Mancas. "One-parameter Darboux-deformed Fibonacci numbers" Modern Physics Letters A Vol. 38 Iss. 04 (2023) p. 2350022-1 - 2350022-9 ISSN: 1793-6632 Available at: http://works.bepress.com/stefani_mancas/132/