Journal of Nonlinear Mathematical Physics

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Volume 15, Issue 3, November 2008, Pages 316 - 332

Conservation Laws and Non-Lie Symmetries for Linear PDEs

Authors
Anthony C.L. Ashton
Corresponding Author
Anthony C.L. Ashton
Received 18 August 2008, Accepted 2 October 2008, Available Online 1 November 2008.
DOI
10.2991/jnmp.2008.15.3.5How to use a DOI?
Abstract

We introduce a method to construct conservation laws for a large class of linear partial differential equations. In contrast to the classical result of Noether, the conserved currents are generated by any symmetry of the operator, including those of the non-Lie type. An explicit example is made of the Dirac equation were we use our construction to find a class of conservation laws associated with a 64 dimensional Lie algebra of discrete symmetries that includes CPT.

Copyright
© 2009, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - 3
Pages
316 - 332
Publication Date
2008/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.3.5How to use a DOI?
Copyright
© 2009, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - Anthony C.L. Ashton
PY  - 2008
DA  - 2008/11/01
TI  - Conservation Laws and Non-Lie Symmetries for Linear PDEs
JO  - Journal of Nonlinear Mathematical Physics
SP  - 316
EP  - 332
VL  - 15
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.3.5
DO  - 10.2991/jnmp.2008.15.3.5
ID  - Ashton2008
ER  -