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

Pérez Pardo, Juan Manuel

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

Publisher: World Scientific

Issued date: 2017-08

Citation: 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

ISSN: 0219-8878

DOI: https://doi.org/10.1142/S0219887817400047

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Economía y Competitividad (España)
Comunidad de Madrid

Sponsor: The author wants to thank the organisers and scientific committee of International Workshop on Quantum Physics: Foundations and Applications 2016" for their invitation and support, where part of this work was developed. The author is supported by a fellowship by the local governement of Region of Madrid, Spain, S2013/ICE-2801. The author was supported also during the development of this work by INFN - Sezione di Napoli. The author is partially supported by grant MTM2014-54692, Ministerio de Economia y Competitividad.

Project: Comunidad de Madrid. S2013/ICE-2801
Gobierno de España. MTM2014-54692

Keywords: Dirac Hamiltonian , Dirac Kähler operator , Point-like interactions

URI: http://hdl.handle.net/10016/31967

Abstract:

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 d [+]

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