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Self-Adjointness of the Dirac Hamiltonian for a Class of Non-Uniformly Elliptic Boundary Value Problems

Felix Finster University of Regensburg, Harvard University Christian Röken University of Regensburg

Publications of CMSA of Harvard mathscidoc:1702.38013

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 spacetime includes horizons, where the Hamiltonian fails to be elliptic.
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@inproceedings{felixself-adjointness,
  title={Self-Adjointness of the Dirac Hamiltonian for a Class of Non-Uniformly Elliptic Boundary Value Problems},
  author={Felix Finster, and Christian Röken},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170207001052443443213},
}
Felix Finster, and Christian Röken. Self-Adjointness of the Dirac Hamiltonian for a Class of Non-Uniformly Elliptic Boundary Value Problems. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170207001052443443213.
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