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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)

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Date of publication of this fulltext: 17 Dec 2015 08:21

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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
Date:2015
Institutions:Mathematics > Prof. Dr. Felix Finster
Identification Number:
ValueType
1512.00761arXiv ID
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
Item ID:33069
Owner only: item control page

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