On relativistic energy band corrections in the presence of periodic potentials

DOI10.1007/BF00419589zbMath0657.47029OpenAlexW1977990384MaRDI QIDQ1110791

W. Bulla, Karl Unterkofler, Friedrich Gesztesy

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf00419589

zbMATH Keywords

Floquet theory for periodic Dirac operatorsrelativistic corrections of bound state energiesrelativistic corrections of energy bounds of one-dimensional periodic Hamiltonians

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Quantum field theory on curved space or space-time backgrounds (81T20) Miscellaneous applications of functional analysis (46N99)

Related Items (4)

New analytically solvable models of relativistic point interactions ⋮ Holomorphy of the scattering matrix with respect to \(c^{-2}\) for Dirac operators and an explicit treatment of relativistic corrections ⋮ Renormalized oscillation theory for Dirac operators ⋮ Relativistic correlations for the scattering matrix for spherically symmetric potentials

Cites Work

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• On the essential spectrum of Schrödinger operators with spherically symmetric potentials
• Dirac and Klein-Gordon equations: Convergence of solutions in the nonrelativistic limit
• Asymptotics of the discrete spectrum of a perturbed Hill operator
• Perturbation of pseudoresolvents and analyticity in \(1/c\) in relativistic quantum mechanics
• Analytic Properties of Bloch Waves and Wannier Functions

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