Spectral properties and time decay of the wave functions of Pauli and Dirac operators in dimension two
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Publication:2078878
DOI10.1016/j.aim.2022.108244zbMath1491.35376arXiv2103.08262OpenAlexW3136635138MaRDI QIDQ2078878
Publication date: 4 March 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.08262
Asymptotic behavior of solutions to PDEs (35B40) General topics in linear spectral theory for PDEs (35P05) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
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- Time decay of scaling critical electromagnetic Schrödinger flows
- Heat kernels of two-dimensional magnetic Schrödinger and Pauli operators
- Improved time-decay for a class of scaling critical electromagnetic Schrödinger flows
- The Dirac equation in two dimensions: dispersive estimates and classification of threshold obstructions
- Weakly coupled bound states of Pauli operators
- Eigenvalue bounds for two-dimensional magnetic Schrödinger operators
- Dispersive estimates for Schrödinger operators in dimensions one and three
- Infiniteness of zero modes for the Pauli operator with singular magnetic field
- The Fermi golden rule and its form at thresholds in odd dimensions
- Asymptotic expansion in time of the Schrödinger group on conical manifolds
- Stability of Coulomb systems with magnetic fields. III. Zero energy bound states of the Pauli operator
- Spectral properties of Schrödinger operators and time-decay of the wave functions results in \(L^2(\mathbb{R}^m),\;m\geq 5\)
- Spectral properties of Schrödinger operators and time-decay of the wave functions
- Asymptotic expansions in time for solutions of Schrödinger-type equations
- Spectral properties of Schrödinger operators with magnetic fields for a spin \({1 \over{} 2}\) particle
- Pauli operator and Aharonov-Casher theorem for measure valued magnetic fields
- The local structure of zero mode producing magnetic potentials
- Time decay for solutions of Schrödinger equations with rough and time-dependent potentials
- A weighted dispersive estimate for Schrödinger operators in dimension two
- Resolvent estimates for the magnetic Schrödinger operator in dimensions \(\ge 2\)
- Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers
- Dispersive estimates for the Dirac equation in an Aharonov-Bohm field
- The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates
- Which magnetic fields support a zero mode?
- Resolvent expansion and time decay of the wave functions for two-dimensional magnetic Schrödinger operators
- Time decay of scaling invariant electromagnetic Schrödinger equations on the plane
- Elementary linear algebra for advanced spectral problems
- Dispersive estimates for Schrödinger operators in dimension two
- Decay estimates for the wave and Dirac equations with a magnetic potential
- Decay estimates for Schrödinger operators
- Asymptotique de la phase de diffusion à haute énergie pour des perturbations du second ordre du laplacien
- Anomalous electron trapping by localized magnetic fields
- 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
- On the zero modes of Pauli operators