On the eigenfunctions of no-pair operators in classical magnetic fields

DOI10.1007/s00020-009-1703-0zbMath1181.81051arXiv0810.4897OpenAlexW2593598007MaRDI QIDQ1039547

Edgardo Stockmeyer, Oliver Matte

Publication date: 23 November 2009

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.4897

zbMATH Keywords

regularityDirac operatorexponential decayBrown and Ravenhallno-pair operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (7)

The ground state of relativistic ions in the limit of high magnetic fields ⋮ SPECTRAL THEORY OF NO-PAIR HAMILTONIANS ⋮ EXISTENCE OF GROUND STATES OF HYDROGEN-LIKE ATOMS IN RELATIVISTIC QED I: THE SEMI-RELATIVISTIC PAULI–FIERZ OPERATOR ⋮ Exponential localization of hydrogen-like atoms in relativistic quantum electrodynamics ⋮ Existence of ground states of hydrogen-like atoms in relativistic quantum electrodynamics. II. The no-pair operator ⋮ Scaling of the ground-state energy of relativistic ions in high locally bounded magnetic fields ⋮ Stability of impurities with Coulomb potential in graphene with homogeneous magnetic field

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