Non-local Lagrangians: a variational approach to non-local conservation laws for wave mechanics
Quantum Physics
2016-08-01 v3
Abstract
We introduce a class of non-local Lagrangians which allow for the variational derivation of non-local conser- vation laws in a self-consistent manner. The formalism developed here generalizes previous approaches, used in the context of symmetric quantum mechanics and optics in the paraxial approximation in a twofold way: firstly it is valid for a larger set of linear symmetry transforms and secondly it enables the derivation of additional non-local conservation laws for general higher dimensional wave mechanical systems.
Keywords
Cite
@article{arxiv.1510.00548,
title = {Non-local Lagrangians: a variational approach to non-local conservation laws for wave mechanics},
author = {A. G. B. Spourdalakis and G. Pappas and P. A. Kalozoumis and F. K. Diakonos and P. Schmelcher},
journal= {arXiv preprint arXiv:1510.00548},
year = {2016}
}
Comments
The paper has been withdrawn due to incomplete formalism. A new version can be found in arXiv:1607.06730