Noether's Theorem with Momentum and Energy Terms for Cresson's Quantum Variational Problems
arXiv:1405.2996
Abstract
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.
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
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