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

publication date

  • August 2017

issue

  • 8

volume

  • 14

International Standard Serial Number (ISSN)

  • 0219-8878

Electronic International Standard Serial Number (EISSN)

  • 1793-6977

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 dimension higher than one. Self-adjoint boundary conditions for the case of dimension 2 are obtained explicitly.

subjects

  • Mathematics

keywords

  • dirac hamiltonian; dirac k√§hler operator; point-like interactions