10 citations · 10 across the 1 of their papers we have counts for
3 papers
math-ph2012★ 10 cited
From Lagrangian to Quantum Mechanics with Symmetries
M. C. Nucci
We present an old and regretfully forgotten method by Jacobi which allows one to find many Lagrangians of simple classical models and also of nonconservative systems. We underline…
nlin.SI2008
An old Method of Jacobi to find Lagrangians
M. C. Nucci, P. G. L. Leach
In a recent paper by Ibragimov [N. H. Ibragimov, Invariant Lagrangians and a new method of integration of nonlinear equations, J. Math. Anal. Appl. 304 (2005) 212--235] a method wa…
nlin.SI2002
Four dimensional Lie symmetry algebras and fourth order ordinary differential equations
T. Cerquetelli, N. Ciccoli, M. C. Nucci
Realizations of four dimensional Lie algebras as vector fields in the plane are explicitly constructed. Fourth order ordinary differential equations which admit such Lie symmetry a…