Perturbed Dirac Operators and Boundary Value Problems

Abstract

In this paper, the time-independent Klein-Gordon equation in R3 is treated with a decomposition of the operator Δ−γ2I by the Clifford algebra Cl(V3,3). Some properties of integral operators associated the kind of equations and some Riemann-Hilbert boundary value problems for perturbed Dirac operators are investigated.

Keywords

• Dirac operators
• Clifford algebra
• boundary value problems