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:
File | Dimensione | Formato | |
---|---|---|---|
NLA_2016.pdf
solo utenti autorizzati
Tipologia:
Documento in Versione Editoriale
Licenza:
Creative commons
Dimensione
666.43 kB
Formato
Adobe PDF
|
666.43 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.