Singular parametric oscillators from the one-parameter Darboux transformation of the classical harmonic oscillator

Autor:	Rosu, H. C., de la Cruz, J.
Rok vydání:	2024
Předmět:	Physics - Classical Physics Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	The singular parametric oscillators obtained from the one-parameter Darboux deformation/transformation effected upon the classical harmonic oscillator are introduced and discussed in some detail using sin(omega_0 t) and cos(omega_0 t) as seed solutions. The corresponding Ermakov-Lewis integrability problem of these parametric oscillators is also studied. It is shown that the Ermakov-Lewis invariants do not depend on the deformation parameter. Comment: 12 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.12084 Zobrazit plný text záznamu View this record from Arxiv