Abstract

TORRES DEL CASTILLO, G.F.  and  LECHUGA-SOLIS, R.L.. Effect of the variational symmetries of the lagrangian on the propagator and associated conserved operators. Rev. mex. fis. [online]. 2017, vol.63, n.4, pp.351-355. ISSN 0035-001X.

Making use of the expression for the propagator in terms of path integrals, we study the effect of certain variational symmetries of a Lagrangian on the corresponding propagator. We also show that by considering a point transformation that relates two different Lagrangians one can obtain a relation between the corresponding propagators.

Keywords : Variational symmetries; propagator; path integral; conserved operators.