Edge states for generalized Iwatsuka models: magnetic fields having a fast transition across a curve
DOI10.1007/s00023-022-01208-7OpenAlexW4283771273MaRDI QIDQ2678859
Juan J. L. Velazquez, Arianna Giunti
Publication date: 25 January 2023
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.09651
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)
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Cites Work
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- Edge states induced by Iwatsuka Hamiltonians with positive magnetic fields
- Quantization of edge currents along magnetic barriers and magnetic guides
- Spectrum of the Iwatsuka Hamiltonian at thresholds
- Bound states of the magnetic Schrödinger operator
- Spectral methods in surface superconductivity
- Examples of absolutely continuous Schrödinger operators in magnetic fields
- Schrödinger operators with magnetic fields. I: General interactions
- Elliptic partial differential equations of second order
- The distribution of superconductivity near a magnetic barrier
- On the semiclassical spectrum of the Dirichlet-Pauli operator
- Edge currents and eigenvalue estimates for magnetic barrier Schrödinger operators
- Classical Fourier Analysis
- Quantum Theory for Mathematicians
- Edge States for the Magnetic Laplacian in Domains with Smooth Boundary
- On the Spectral Properties of the Landau Hamiltonian Perturbed by a moderately Decaying Magnetic Field
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