40 citations · 63 across the 3 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
math-ph2009★ 14 cited
Quasi-Lie schemes and Emden--Fowler equations
J. F. Cariñena, P. G. L. Leach, J. de Lucas
The recently developed theory of quasi-Lie schemes is studied and applied to investigate several equations of Emden type and a scheme to deal with them and some of their generalisa…
math-ph2008★ 9 cited
A geometric approach to time evolution operators of Lie quantum systems
José F. Cariñena, Javier de Lucas, Arturo Ramos
Lie systems in Quantum Mechanics are studied from a geometric point of view. In particular, we develop methods to obtain time evolution operators of time-dependent Schrodinger equa…
math-ph2008★ 40 cited
A nonlinear superposition rule for solutions of the Milne--Pinney equation
José F. Cariñena, Javier de Lucas
A superposition rule for two solutions of a Milne--Pinney equation is derived.