Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators

DOI10.1007/s11005-018-01155-7zbMath1419.35138arXiv1809.07580OpenAlexW3104100595MaRDI QIDQ2000954

Luca Fanelli, David Krejčiřík

Publication date: 1 July 2019

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

Full work available at URL: https://arxiv.org/abs/1809.07580

zbMATH Keywords

Dirac operatorcomplex potentialBirman-Schwinger principlepseudo-Friedrichs extensionabsence of eigenvaluesnon-self-adjoint perturbation

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Elliptic equations and elliptic systems (35J99) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (13)

Pseudomodes for non-self-adjoint Dirac operators ⋮ Spectral enclosures for Dirac operators perturbed by rigid potentials ⋮ Eigenvalue bounds for non-selfadjoint Dirac operators ⋮ Bounds on eigenvalues of perturbed Lamé operators with complex potentials ⋮ Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions ⋮ The abstract Birman-Schwinger principle and spectral stability ⋮ Sharp spectral bounds for complex perturbations of the indefinite Laplacian ⋮ Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators ⋮ Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers ⋮ Spectral enclosures for non-self-adjoint discrete Schrödinger operators ⋮ Eigenvalue bounds and spectral stability of Lamé operators with complex potentials ⋮ Lieb-Thirring inequalities for an effective Hamiltonian of bilayer graphene ⋮ Location of eigenvalues of non-self-adjoint discrete Dirac operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A criterion for the existence of nonreal eigenvalues for a Dirac operator
• On quantitative bounds on eigenvalues of a complex perturbation of a Dirac operator
• Eigenvalue bounds for Dirac and fractional Schrödinger operators with complex potentials
• Spectral stability of Schrödinger operators with subordinated complex potentials
• Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications
• Estimates on complex eigenvalues for Dirac operators on the half-line
• Eigenvalue estimates for non-selfadjoint Dirac operators on the real line
• Wave operators and similarity for some non-selfadjoint operators
• Non-Selfadjoint Operators in Quantum Physics
• Spectral perturbation bounds for selfadjoint operators I
• Resolvent estimates and bounds on eigenvalues for Dirac operators on the half-line
• Eigenvalue bounds for Schrödinger operators with complex potentials

This page was built for publication: Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators