A Non-Differentiable Quantum Variational Embedding in Presence of Time Delays
Optimization and Control
2013-06-13 v1 Mathematical Physics
math.MP
Abstract
We develop Cresson's non-differentiable embedding to quantum problems of the calculus of variations and optimal control with time delay. Main results show that the dynamics of non-differentiable Lagrangian and Hamiltonian systems with time delays can be determined, in a coherent way, by the least-action principle.
Keywords
Cite
@article{arxiv.1211.4391,
title = {A Non-Differentiable Quantum Variational Embedding in Presence of Time Delays},
author = {Gastao S. F. Frederico and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1211.4391},
year = {2013}
}
Comments
This is a preprint of a paper whose final and definite form will be published in International Journal of Difference Equations (http://campus.mst.edu/ijde). Submitted Aug 24, 2012; Revised Nov 19, 2012; Accepted Nov 19, 2012