Scattering theory of Dirac operator with the impulsive condition on whole axis
Elgiz Bairamov, Şeyda Solmaz
Abstract
In this paper, we study the Jost solutions of the impulsive Dirac systems (IDS) on entire axis and examine analytic and asymptotic properties of these solutions. Furthermore, we obtain a general form of the scattering matrix of the IDS and its characteristic properties. Finally, we also compare the similar properties for the IDS with the mass on entire axis with an example.
Topics & Concepts
MathematicsDirac (video compression format)ScatteringDirac operatorOperator (biology)Matrix (chemical analysis)Mathematical analysisScattering theoryMathematical physicsPhysicsQuantum mechanicsComposite materialBiochemistryTranscription factorRepressorMaterials scienceNeutrinoChemistryGeneSpectral Theory in Mathematical PhysicsQuantum chaos and dynamical systemsAdvanced Mathematical Physics Problems