SL(3,R) realisations and the damped harmonic oscillator
From MaRDI portal
Publication:3338463
DOI10.1088/0305-4470/17/9/013zbMath0547.22012OpenAlexW2079404184MaRDI QIDQ3338463
José M. Cerveró, Javier Villarroel
Publication date: 1984
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/17/9/013
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of group representations to physics and other areas of science (20C35)
Related Items
\(l\)-conformal Newton-Hooke symmetry of the damped Pais-Uhlenbeck oscillator ⋮ A group theoretical identification of integrable cases of the Liénard-type equation ẍ+f(x)ẋ+g(x)=. I. Equations having nonmaximal number of Lie point symmetries ⋮ Lie and Noether point symmetries for a class of nonautonomous dynamical systems ⋮ Eisenhart lifts and symmetries of time-dependent systems ⋮ Symmetries of linear systems of second-order ordinary differential equations ⋮ On the Lagrangian description of dissipative systems ⋮ Conformal and projective symmetries in Newtonian cosmology ⋮ A group theoretical identification of integrable equations in the Liénard-type equation ẍ+f(x)ẋ+g(x)=. II. Equations having maximal Lie point symmetries