On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded eigenvalues

DOI10.1023/A:1007425400991zbMath0917.47056arXivmath/9802035MaRDI QIDQ1127620

Alexander A. Balinsky, W. Desmond Evans

Publication date: 8 August 1999

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9802035

zbMATH Keywords

essential spectra virial theorem Brown-Ravenhall operator nuclear charge relativistic one-electron atoms

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

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A bound for the eigenvalue counting function for Krein-von Neumann and Friedrichs extensions ⋮ Spectral and scattering properties at thresholds for the Laplacian in a half-space with a periodic boundary condition ⋮ Schnol's theorem and spectral properties of massless Dirac operators with scalar potentials ⋮ Eigenvalue counting estimates for a class of linear spectral pencils with applications to zero modes ⋮ SPECTRAL THEORY OF NO-PAIR HAMILTONIANS ⋮ Instability of a pseudo-relativistic model of matter with self-generated magnetic field ⋮ On the spectral properties of the Brown-Ravenhall operator

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