2014/05/12 by Gastao S. F. Frederico, Delfim F. M. Torres · 1 citation
Mathematics · Physics and Astronomy · #math.OC #math-ph #math.MP #msc:49K05 #msc:49S05 #msc:81Q05
published as Adv. Dyn. Syst. Appl. 9 (2014), no. 2, 179--189 · This is a preprint of a paper whose final and definite form will be published in Advances in Dynamical Systems and Applications, ISSN 0973-5321 (see http://campus.mst.edu/adsa). Submitted 15/Mar/2014; Revised 23/Apr/2014; Accepted 12/May/2014
arxiv created 2014/05/12 · arxiv updated 2014/12/16
We prove a DuBois-Reymond necessary optimality condition and a Noether symmetry theorem to the recent quantum variational calculus of Cresson. The results are valid for problems of the calculus of variations with functionals defined on sets of nondifferentiable functions. As an application, we obtain a constant of motion for a linear Schrodinger equation.