Remarks on virtual bound states for semi—bounded operators

DOI10.1080/03605309908821417zbMath0926.47009OpenAlexW2054068283MaRDI QIDQ4237894

Timo Weidl

Publication date: 29 November 1999

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309908821417

zbMATH Keywords

bound statessecond-order differential operatorsBirman-Schwinger principlesemi-bounded operatorcritical Schrödinger operatorsSchrödinger type operators with magnetic fieldstwo-dimensional Pauli operator with a localized magnetic fieldweak, indefinite perturbation

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) General theory of partial differential operators (47F05)

Related Items

Weak coupling limit for Schrödinger-type operators with degenerate kinetic energy for a large class of potentials, A quantum waveguide with Aharonov–Bohm magnetic field, Stability of the Magnetic Schrödinger Operator in a Waveguide, On Lieb-Thirring inequalities for Schrödinger operators with virtual level, On the virtual levels of positively projected massless Coulomb-Dirac operators, Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions, Spectral enclosures and stability for non‐self‐adjoint discrete Schrödinger operators on the half‐line, Weakly coupled bound states of Pauli operators, Eigenvalue bounds for non-self-adjoint Schrödinger operators with the inverse-square potential, Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group, Quantitative bounds versus existence of weakly coupled bound states for Schrödinger type operators, Hardy-Lieb-Thirring inequalities for fractional Pauli operators, Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy, EIGENFUNCTIONS AT THE THRESHOLD ENERGIES OF MAGNETIC DIRAC OPERATORS, Virtual bound levels in a gap of the essential spectrum of the weakly perturbed periodic Schrödinger operator, A magnetic contribution to the Hardy inequality, Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers, The Hardy inequality and the heat equation with magnetic field in any dimension, The weakly coupled fractional one-dimensional Schrödinger operator with index 1 < α ≤ 2, A ground state alternative for singular Schrödinger operators, Limiting absorption principle and virtual levels of operators in Banach spaces

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