Sánchez Soto, Luis LorenzoZoido Chamorro, Jesús Manuel2023-06-202023-06-202012-12-200002-950510.1119/1.4763746https://hdl.handle.net/20.500.14352/42791Published Online: December 2012 Accepted: October 2012 This paper is dedicated to the memory of coauthor Jesús Zoido, who unexpectedly passed away during the preparation of the final version.We analyze a very simple variant of the Lorentz pendulum, in which the length is varied exponentially, instead of uniformly, as it is assumed in the standard case. We establish quantitative criteria for the condition of adiabatic changes in both pendula and put in evidence their substantially different physical behavior with regard to adiabatic invariance.engjournal articlehttps://doi.org/10.1119/1.4763746http://aapt.scitation.org/doi/10.1119/1.4763746open access530.1530.145535Lorentz groupExact solutionsLagrangian mechanicsEquations of motionGeometric phasesFísica matemáticaÓptica física, óptica cuántica2209.19 Óptica física