Conservation Laws and Non-Lie Symmetries

Details Conservation Laws and Non-Lie Symmetries Conservation Laws and Non-Lie Symmetries

2008-08-28

arxiv.org/abs/0808.3943v2

Mathematics

Analysis of PDEs

To appear in JNMP

Scientific paper

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.

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