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Self-adjointness of the Dirac Hamiltonian for a class of non-uniformly elliptic boundary value problems
Finster, Felix and Röken, Christian (2015) Self-adjointness of the Dirac Hamiltonian for a class of non-uniformly elliptic boundary value problems. Preprintreihe der Fakultät Mathematik 18/2015, Working Paper. (Submitted)Date of publication of this fulltext: 17 Dec 2015 08:21
Monograph
DOI to cite this document: 10.5283/epub.33069
Abstract
We consider a boundary value problem for the Dirac equation in a four-dimensional, 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.
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| Item type | Monograph (Working Paper) | ||||
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik | ||||
|---|---|---|---|---|---|
| Volume: | 18/2015 | ||||
| Date | 2015 | ||||
| Institutions | Mathematics > Prof. Dr. Felix Finster | ||||
| Identification Number |
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| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||
| Status | Submitted | ||||
| Refereed | No, this version has not been refereed yet (as with preprints) | ||||
| Created at the University of Regensburg | Yes | ||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-330699 | ||||
| Item ID | 33069 |
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