We study the Brown–Ravenhall operator (the projection of the Dirac operator perturbed by a potential V ∈ L^3_w ) 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.
A variational approach to the Brown-Ravenhall operator for the relativistic one- electron atoms
NOLASCO, MARGHERITA
2016-01-01
Abstract
We study the Brown–Ravenhall operator (the projection of the Dirac operator perturbed by a potential V ∈ L^3_w ) 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.File in questo prodotto:
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