Holomorphic families of Dirac operators
From MaRDI portal
Publication:1051876
DOI10.1007/BF01176480zbMath0515.47006MaRDI QIDQ1051876
Publication date: 1983
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/173327
Dirac operatorfactorization methodnorm resolvent convergencestrong resolvent convergenceholomorphic family of closed operatorsdistinguished closed operatorholomorphic family of type (A)selfadjoint familyVitali's convergence theorem
Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68)
Related Items
Self-adjoint extensions for the Dirac operator with Coulomb-type spherically symmetric potentials ⋮ Resolvent estimates and bounds on eigenvalues for Dirac operators on the half-line ⋮ Discrete spectra for critical Dirac-Coulomb Hamiltonians ⋮ Dipoles in graphene have infinitely many bound states ⋮ The Feynman representation for the Dirac propagator with a radially symmetric potential ⋮ Erratum: “Self-adjoint extensions of Dirac operators with Coulomb type singularity” [J. Math. Phys. 54, 041504 (2013)] ⋮ Which Nuclear Shape Generates the Strongest Attraction on a Relativistic Electron? An Open Problem in Relativistic Quantum Mechanics ⋮ Holomorphic family of Dirac-Coulomb Hamiltonians in arbitrary dimension ⋮ Variational methods in relativistic quantum mechanics ⋮ Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations ⋮ Eigenvalue estimates for non-selfadjoint Dirac operators on the real line ⋮ SPECTRAL THEORY OF NO-PAIR HAMILTONIANS ⋮ Holomorphy of the scattering matrix with respect to \(c^{-2}\) for Dirac operators and an explicit treatment of relativistic corrections ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Self-adjoint realisations of the Dirac-Coulomb Hamiltonian for heavy nuclei ⋮ Relativistic correlations for the scattering matrix for spherically symmetric potentials ⋮ A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator ⋮ Domains for Dirac-Coulomb min-max levels ⋮ Dirac-Coulomb operators with general charge distribution. I: Distinguished extension and min-max formulas ⋮ The Scott correction in Dirac-Fock theory ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Perturbed Bessel operators. Boundary conditions and closed realizations ⋮ Semigroup approach for the approximation of a control problem with unbounded dynamics
Cites Work
- Unnamed Item
- Unnamed Item
- On essential selfadjointness, distinguished selfadjoint extension and essential spectrum of Dirac operators with matrix valued potentials
- Spectral properties of Dirac operators with singular potentials
- Distinguished self-adjoint extensions of Dirac operators constructed by means of cut-off potentials
- Self-adjointness and invariance of the essential spectrum for Dirac operators defined as quadratic forms
- Dirac operations with strongly singular potentials. Distinguished self- adjoint extensions constructed with a spectral gap theorem and cut-off potentials
- Characterization and uniqueness of distinguished self-adjoint extensions of Dirac operators
- Wave operators and similarity for some non-selfadjoint operators
- Distinguished selfadjoint extensions of Dirac operators
