2016/10/21 by Juan Manuel Pérez-Pardo, J. M. Pérez-Pardo
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Boundary (topology) #Computer science #Differential geometry #Differential operator #Dimension (graph theory) #Dirac (video compression format) #Geometry #Hilbert space #Mathematical analysis #Mathematics #Physics #Point (geometry) #Pure mathematics #Quantum mechanics #Space (punctuation) #Spectral Theory in Mathematical Physics #Topological Materials and Phenomena #Type (biology) #math-ph #math.MP
paper · pdf · doi:10.1142/s0219887817400047
published as International Journal of Geometric Methods in Modern Physics 14, 1740004 (2017)
arxiv created 2016/10/21 · openalex created_date 2016/11/04 · openalex publication_date 2017/05/11 · arxiv updated 2017/05/29 · openalex updated_date 2026/08/08
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.