• Corpus ID: 118566363

Non-local Lagrangians: a variational approach to non-local conservation laws for wave mechanics

@article{Spourdalakis2015NonlocalLA,
  title={Non-local Lagrangians: a variational approach to non-local conservation laws for wave mechanics},
  author={Aris G.B. Spourdalakis and George Pappas and Panayotis A. Kalozoumis and Fotis K. Diakonos and Peter Schmelcher},
  journal={arXiv: Quantum Physics},
  year={2015}
}
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 $\mathcal{PT}$ 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…