含动量与能量项的 Cresson 量子变分问题 Noether 定理
最优化与控制
2014-12-16 v1 数学物理
math.MP
摘要
我们证明了针对 Cresson 近期提出的量子变分微积分的 DuBois-Reymond 必要最优性条件和 Noether 对称性定理。这些结果适用于定义在非可微函数集上的泛函的变分法问题。作为应用，我们获得了线性 Schrödinger 方程的一个运动常数。
引用
@article{arxiv.1405.2996,
title = {Noether's Theorem with Momentum and Energy Terms for Cresson's Quantum Variational Problems},
author = {Gastao S. F. Frederico and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1405.2996},
year = {2014}
}
备注
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