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Dirac-like operators on the Hilbert space of differential forms on manifolds with boundaries

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2017-08
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World Scientific
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The problem of self-adjoint extensions of Dirac-type operators in manifolds with boundaries is analyzed. 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.
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Dirac Hamiltonian, Dirac Kähler operator, Point-like interactions
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Pérez-Pardo, J. M. (2017). Dirac-like operators on the Hilbert space of differential forms on manifolds with boundaries. International Journal of Geometric Methods in Modern Physics, 14(08), 1740004