First-order relativistic corrections and spectral concentration

DOI10.1016/0196-8858(85)90009-0zbMath0595.47007OpenAlexW2072201909MaRDI QIDQ1077685

Harald Grosse, Bernd Thaller, Friedrich Gesztesy

Publication date: 1985

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(85)90009-0

zbMATH Keywords

essential spectraDirac Hamiltoniansingular perturbation theoryspectral concentrationaccording to Foldy and Wouthuysenfirst-order pseudoeigenvaluesPauli Hamiltonians with first- order relativistic correctionsPauli Hamiltonians with first- order relativistic corrections according to Foldy and Wouthuysenrelativistic perturbation

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (4)

Unnamed Item ⋮ Holomorphy of the scattering matrix with respect to \(c^{-2}\) for Dirac operators and an explicit treatment of relativistic corrections ⋮ Unnamed Item ⋮ Exact solutions to the Dirac equation for equilateral triangular billiard systems

Cites Work

• Spectral properties of Dirac operators with singular potentials
• Dirac and Klein-Gordon equations: Convergence of solutions in the nonrelativistic limit
• Adiabatic theorem and spectral concentration. I: Arbitrary order spectral concentration for the Stark effect in atomic physics
• Characterization and uniqueness of distinguished self-adjoint extensions of Dirac operators
• Spectral concentration for self-adjoint operators
• On spectral concentration for semi-bounded operators
• Perturbation of pseudoresolvents and analyticity in \(1/c\) in relativistic quantum mechanics
• ON AN INFINITE SET OF NON-LINEAR DIFFERENTIAL EQUATIONS
• On a perturbation through which a discrete spectrum becomes continuous
• On the relation between the eigenvalues in relativistic and non-relativistic quantum mechanics
• Spectral Concentration and Virtual Poles. II
• On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit
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