Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/4127
Title: | Constants of motion for non-differentiable quantum variational problems |
Author: | Cresson, J. Frederico, G.S.F. Torres, D.F.M. |
Keywords: | Constants of motion DuBois-Reymond necessary condition Noether's theorem Non-differentiability Scale calculus of variations Schrödinger equations Symmetries |
Issue Date: | 2009 |
Publisher: | Juliusz Schauder University Centre |
Abstract: | We extend the DuBois-Reymond necessary optimality condition and Noether's symmetry theorem to the scale relativity theory setting. Both Lagrangian and Hamiltonian versions of Noether's theorem are proved, covering problems of the calculus of variations with functionals defined on sets of non-differentiable functions, as well as more general nondifferentiable problems of optimal control. As an application we obtain constants of motion for some linear and nonlinear variants of the Schrödinger equation. © 2009 Juliusz Schauder Center for Nonlinear Studies. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/4127 |
ISSN: | 1230-3429 |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
[111]withCressonFrederico_TMNA0782.pdf | 216.4 kB | Adobe PDF |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.