55 citations · 486 across the 49 of their papers we have counts for
Showing 2009Show all
3 papers · 1 filter
math-ph2009★ 8 cited
Phase Splitting for Periodic Lie Systems
R. Flores-Espinoza, Javier de Lucas, Yurii Vorobjev
In the context of the Floquet theory, using a variation of parameter argument, we show that the logarithm of the monodromy of a real periodic Lie system with appropriate properties…
math-ph2009★ 5 cited
Lie systems and integrability conditions for t-dependent frequency harmonic oscillators
J. F. Cariñena, J. de Lucas, M. F. Rañada
Time-dependent frequency harmonic oscillators (TDFHO's) are studied through the theory of Lie systems. We show that they are related to a certain kind of equations in the Lie group…
math-ph2009★ 7 cited
Quantum Lie systems and integrability conditions
J. F. Cariñena, J. de Lucas
The theory of Lie systems has recently been applied to Quantum Mechanics and additionally some integrability conditions for Lie systems of differential equations have also recently…