English

Symmetry operators for Dirac's equation on two-dimensional spin manifolds

Mathematical Physics 2015-05-13 v2 math.MP

Abstract

It is shown that the second order symmetry operators for the Dirac equation on a general two-dimensional spin manifold may be expressed in terms of Killing vectors and valence two Killing tensors. The role of these operators in the theory of separation of variables for the Dirac equation is studied.

Keywords

Cite

@article{arxiv.0812.2269,
  title  = {Symmetry operators for Dirac's equation on two-dimensional spin manifolds},
  author = {Lorenzo Fatibene and Raymond G. McLenaghan and Giovanni Rastelli and Shane N. Smith},
  journal= {arXiv preprint arXiv:0812.2269},
  year   = {2015}
}

Comments

Typos corrected

R2 v1 2026-06-21T11:51:07.893Z