Self-Adjointness of the Dirac Hamiltonian for a Class of Non-Uniformly Elliptic Boundary Value Problems
Mathematical Physics
2016-07-27 v3 General Relativity and Quantum Cosmology
Analysis of PDEs
math.MP
Abstract
We consider a boundary value problem for the Dirac equation in a smooth, asymptotically flat Lorentzian manifold admitting a Killing field which is timelike near and tangential to the boundary. A self-adjoint extension of the Dirac Hamiltonian is constructed. Our results also apply to the situation that the space-time includes horizons, where the Hamiltonian fails to be elliptic.
Keywords
Cite
@article{arxiv.1512.00761,
title = {Self-Adjointness of the Dirac Hamiltonian for a Class of Non-Uniformly Elliptic Boundary Value Problems},
author = {Felix Finster and Christian Röken},
journal= {arXiv preprint arXiv:1512.00761},
year = {2016}
}
Comments
14 pages, LaTeX, 1 figure, minor improvements (published version)