Nondifferentiable variational principles in terms of a quantum operator
Optimization and Control
2011-11-29 v1 Mathematical Physics
math.MP
Abstract
We develop Cresson's nondifferentiable calculus of variations on the space of H\"{o}lder functions. Several quantum variational problems are considered: with and without constraints, with one and more than one independent variable, of first and higher-order type.
Cite
@article{arxiv.1106.3831,
title = {Nondifferentiable variational principles in terms of a quantum operator},
author = {Ricardo Almeida and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1106.3831},
year = {2011}
}
Comments
Submitted 24-Apr-2011; revised 18-Jun-2011; accepted 20-Jun-2011; for publication in Mathematical Methods in the Applied Sciences