Instability of a pseudo-relativistic model of matter with self-generated magnetic field

DOI10.1063/1.532834zbMath0965.81013arXivmath-ph/9811028OpenAlexW3097995972MaRDI QIDQ4701819

Marcel Griesemer, Christian Tix

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/math-ph/9811028

zbMATH Keywords

instabilityCoulomb potentialBrown-Ravenhall Hamiltonianpseudo-relativistic Hamiltonian

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Many-body theory; quantum Hall effect (81V70)

Related Items

QUANTUM ELECTRODYNAMICS OF RELATIVISTIC BOUND STATES WITH CUTOFFS ⋮ SPECTRAL THEORY OF NO-PAIR HAMILTONIANS ⋮ Dirac operators coupled to the quantized radiation field: Essential self-adjointness à la Chernoff ⋮ 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

Cites Work

• Stability of Coulomb systems with magnetic fields. I: The one-electron atom
• Stability of Coulomb systems with magnetic fields. II. The many-electron atom and the one-electron molecule
• On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded eigenvalues
• The stability and instability of relativistic matter
• Quantum electrodynamics of confined nonrelativistic particles
• Stability and instability of relativistic electrons in classical electromagnetic fields
• The spectrum of relativistic one-electron atoms according to Bethe and Salpeter
• Strict Positivity of a Relativistic Hamiltonian Due to Brown and Ravenhall
• Stability of Matter. I