Article ID Journal Published Year Pages File Type
839346 Nonlinear Analysis: Theory, Methods & Applications 2016 22 Pages PDF
Abstract

We study the Brown–Ravenhall operator (the projection of the Dirac operator perturbed by a potential V∈Lw3) using the Foldy–Wouthuysen (unitary) transformation and its realization as an elliptic problem in the 4-dim half space R+4 with Neumann boundary condition. Using this approach we give a characterization of its eigenvalues and eigenfunctions alternative to the classical Rayleigh quotients.

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