Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers

DOI10.1007/s00220-020-03853-7zbMath1455.81022arXiv1912.02443OpenAlexW3086703071WikidataQ114230949 ScholiaQ114230949MaRDI QIDQ2006403

David Krejčiřík, Luca Fanelli, Lucrezia Cossetti

Publication date: 9 October 2020

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

Full work available at URL: https://arxiv.org/abs/1912.02443

zbMATH Keywords

Pauli operatorDirac operatormagnetic Schrödinger operatormethod of multipliersabsence of eigenvalues

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

Related Items (14)

Pseudomodes for non-self-adjoint Dirac operators ⋮ From Lieb-Thirring inequalities to spectral enclosures for the damped wave equation ⋮ Spectral enclosures for Dirac operators perturbed by rigid potentials ⋮ Which magnetic fields support a zero mode? ⋮ Eigenvalue bounds for non-selfadjoint Dirac operators ⋮ Bounds on eigenvalues of perturbed Lamé operators with complex potentials ⋮ The abstract Birman-Schwinger principle and spectral stability ⋮ Mini-workshop: Zero-range and point-like singular perturbations: for a spillover to analysis, PDE and differential geometry. Abstracts from the mini-workshop held October 2--8, 2022 ⋮ Absence of embedded eigenvalues of Pauli and Dirac operators ⋮ Spectral decomposition of some non-self-adjoint operators ⋮ A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equations ⋮ Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators ⋮ Eigenvalue bounds and spectral stability of Lamé operators with complex potentials ⋮ Spectral properties and time decay of the wave functions of Pauli and Dirac operators in dimension two

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