Dirac-like operators on the Hilbert space of differential forms on manifolds with boundaries
Mathematical Physics
2017-05-29 v1 math.MP
Abstract
The problem of self-adjoint extensions of Dirac-type operators in manifolds with boundaries is analysed. The boundaries might be regular or non-regular. The latter situation includes point-like interactions, also called delta-like potentials, in manifolds of dimension higher than one. Self-adjoint boundary conditions for the case of dimension 2 are obtained explicitly.
Keywords
Cite
@article{arxiv.1610.06792,
title = {Dirac-like operators on the Hilbert space of differential forms on manifolds with boundaries},
author = {J. M. Pérez-Pardo},
journal= {arXiv preprint arXiv:1610.06792},
year = {2017}
}