Analysis of Dirac Operators with interactions Supported on the boundaries of rough domains
Dr/ Mariam ALmahdi Mohammed Mulla Abstract We consider the Dirac operator H=αD+F(x) on the Hilbert space L^2 (R^2,C^2 ) Where it turns into the phenomenon of contraction, where F(x) is a 2×2 Hermitian matrix valued function which decays suitable for infinity. We studied Dirac operators in terms of semi-classical differential operators, where the semi-classical phenomenon