The Dirac Hamiltonian with a superstrong Coulomb field

DOI10.1007/s11232-007-0004-5zbMath1118.81027arXivquant-ph/0608221OpenAlexW3099967811MaRDI QIDQ2641502

I. V. Tyutin, B. L. Voronov, Dmitri M. Gitman

Publication date: 20 August 2007

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0608221

zbMATH Keywords

spectral analysisDirac Hamiltonianself-adjoint extensionsCoulomb field

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

Related Items (27)

Self-adjoint extensions for the Dirac operator with Coulomb-type spherically symmetric potentials ⋮ Peculiarities of the electron energy spectrum in the Coulomb field of a superheavy nucleus ⋮ Induced vacuum charge of massless fermions in Coulomb and Aharonov-Bohm potentials in 2+1 dimensions ⋮ Discrete spectra for critical Dirac-Coulomb Hamiltonians ⋮ On the virtual levels of positively projected massless Coulomb-Dirac operators ⋮ Discrete spectra of the Dirac Hamiltonian in Coulomb and Aharonov-Bohm potentials in \(2+1\) dimensions ⋮ Schrödinger and Dirac particles in quasi-one-dimensional systems with a Coulomb interaction ⋮ Relativistic hydrogen-like atom on a noncommutative phase space ⋮ Influence of a cosmic string on the rate of pairs produced by the Coulomb potential ⋮ Nonperturbative vacuum polarization effects in two-dimensional supercritical Dirac–Coulomb system I. Vacuum charge density ⋮ QFT treatment of processes in strong external backgrounds ⋮ Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations ⋮ Zero-mass fermions in Coulomb and Aharonov-Bohm potentials in 2+1 dimensions ⋮ The critical transition of Coulomb impurities in gapped graphene ⋮ Quantum conformal mechanics emerging from unitary representations of \(\mathrm{SL}(2,\mathbb R)\) ⋮ Mark Krein's method of directing functionals and singular potentials ⋮ PLANAR MASSLESS FERMIONS IN COULOMB AND AHARONOV–BOHM POTENTIALS ⋮ Self-adjoint realisations of the Dirac-Coulomb Hamiltonian for heavy nuclei ⋮ IS QFT WITH EXTERNAL BACKGROUNDS A CONSISTENT MODEL? ⋮ Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies ⋮ A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator ⋮ Critical magnetic field for 2D magnetic Dirac-Coulomb operators and Hardy inequalities ⋮ Domains for Dirac-Coulomb min-max levels ⋮ Essentially nonperturbative vacuum polarization effects in a two-dimensional Dirac-Coulomb system with \(Z > Z_{cr}\): vacuum charge density ⋮ Causal electromagnetic interaction equations ⋮ BOUND FERMION STATES IN A VECTOR 1/r AND AHARONOV–BOHM POTENTIAL IN (2+1) DIMENSIONS ⋮ SPIN-POLARIZED FERMIONS IN AN AHARONOV–BOHM FIELD

Cites Work

• Constructing quantum observables and self-adjoint extensions of symmetric operators. II. differential operators
• On Bound States and Scattering in Positron Theory
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