HackerPapers

arXiv:0808.3943math.AP

Conservation Laws and Non-Lie Symmetries

Anthony C. L Ashton

Early discovery. Linked by one identifiable commenter. This paper is outside the main ranking; a mention is not an endorsement.

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.

arXiv comments
To appear in JNMP
Journal reference
DOI
Subjects
math.APAnalysis of PDEs math-phMathematical Physics

On Hacker News

Linked by 1 identifiable commenter in 1 comment across 1 thread, from Jan 2013 to Jan 2013.

Comments linking this paper, per year.

Discussed in comments1 thread

  1. Emmy Noether 1 comment

    • I remember studying some of Noether's early work in a course on classical mechanics at university. It's one of the things I remember from my degree that still blows my mind. Noether's theorems in classical mechanics associate symmetries of the laws governing a physical system to…

      crntaylorView on HNParent context

Submitted to Hacker News

Connected through shared HN threads, not inferred similarity or a recommendation.