Resolvent expansions of 3D magnetic Schrödinger operators and Pauli operators

DOI10.1063/5.0211421zbMATH Open1543.81112MaRDI QIDQ6582836

Hynek Kovařík, Arne M. Jensen

Publication date: 5 August 2024

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

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (2)-body potential quantum scattering theory (81U05)

Cites Work

• The Fermi golden rule and its form at thresholds in odd dimensions
• Schrödinger operators on the half line: resolvent expansions and the Fermi golden rule at thresholds
• High energy resolvent estimates. II: Higher order elliptic operators
• Stability of Coulomb systems with magnetic fields. III. Zero energy bound states of the Pauli operator
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• Asymptotic expansions in time for solutions of Schrödinger-type equations
• Kato's inequality and the comparison of semigroups
• Resolvent expansion for the Schrödinger operator on a graph with infinite rays
• The local structure of zero mode producing magnetic potentials
• Dispersive decay for the magnetic Schrödinger equation
• Spectral properties and time decay of the wave functions of Pauli and Dirac operators in dimension two
• Which magnetic fields support a zero mode?
• Resolvent expansion and time decay of the wave functions for two-dimensional magnetic Schrödinger operators
• Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in \(\mathbb R^3\)
• Analysis.
• Sobolev, Hardy and CLR inequalities associated with Pauli operators in \({\mathbb R}^3\)
• A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS
• ERRATUM: A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS
• A criterion for the existence of zero modes for the Pauli operator with fastly decaying fields
• Scattering by magnetic fields
• On the zero modes of Pauli operators

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