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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/112469
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