Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac-Coulomb operators
DOI10.4171/jst/461zbMath1530.47028arXiv2206.11679OpenAlexW4319241163MaRDI QIDQ6062691
Maria J. Esteban, Éric Séré, Jean Dolbeault
Publication date: 6 November 2023
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.11679
eigenvaluesDirac operatorsvariational methodsquadratic formssymmetric operatorsspectral gapsmin-max principleself-adjoint operatorsRayleigh-Ritz quotients
Eigenvalue problems for linear operators (47A75) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Variational methods for eigenvalues of operators (49R05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimax principles, Hardy-Dirac inequalities, and operator cores for two and three dimensional Coulomb-Dirac operators
- Variational principles and eigenvalue estimates for unbounded block operator matrices and applications
- Estimates for the optimal constants in multipolar Hardy inequalities for Schrödinger and Dirac operators
- 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
- A minimax principle for eigenvalues in spectral gaps: Dirac operators with Coulomb potentials.
- Variational characterization for eigenvalues of Dirac operators
- On the eigenvalues of operators with gaps. Application to Dirac operators
- An analytical proof of Hardy-like inequalities related to the Dirac operator
- Dirac-Coulomb operators with general charge distribution. I: Distinguished extension and min-max formulas
- Corrigendum to: ``On the eigenvalues of operators with gaps. Application to Dirac operators
- A convergence theorem for selfadjoint operators applicable to Dirac operators with cutoff potentials
- Friedrichs extension and min-max principle for operators with a gap
- Domains for Dirac-Coulomb min-max levels
- General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators
- On the minimax principle for Coulomb-Dirac operators
- Distinguished selfadjoint extensions of Dirac operators
- Self-adjointness for Dirac operators via Hardy-Dirac inequalities
- Spectral pollution and how to avoid it
- Strict Positivity of a Relativistic Hamiltonian Due to Brown and Ravenhall
- A Minimax Principle for the Eigenvalues in Spectral Gaps
This page was built for publication: Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac-Coulomb operators
