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On the spectral properties of the Brown-Ravenhall operator

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Publication:1860443
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DOI10.1016/S0377-0427(02)00583-6zbMath1029.47053MaRDI QIDQ1860443

W. Desmond Evans, Alexander A. Balinsky

Publication date: 23 February 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

eigenvaluespositivityDirac operatorangular momentumessential spectravirial theoremBrown-Ravenhall operatoroptimal charge range


Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45)


Related Items

SPECTRAL THEORY OF NO-PAIR HAMILTONIANS



Cites Work

  • Unnamed Item
  • On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded eigenvalues
  • The spectrum of relativistic one-electron atoms according to Bethe and Salpeter
  • On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms
  • Strict Positivity of a Relativistic Hamiltonian Due to Brown and Ravenhall
  • The Hamiltonian (p2+m2)1/2−α/r near the critical value αc=2/π
  • A Minimax Principle for the Eigenvalues in Spectral Gaps
  • On the interaction of two electrons
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