Diffraction of the Aharonov-Bohm Hamiltonian
DOI10.1007/s00023-021-01069-6zbMath1480.81062arXiv2008.04129OpenAlexW3171557840WikidataQ114232024 ScholiaQ114232024MaRDI QIDQ2051470
Publication date: 24 November 2021
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.04129
Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Scattering theory of linear operators (47A40) Dispersion theory, dispersion relations arising in quantum theory (81U30) Propagation of singularities; initial value problems on manifolds (58J47)
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- The diffractive wave trace on manifolds with conic singularities
- On Schrödinger operators with inverse square potentials on the half-line
- Homogeneous Schrödinger operators on half-line
- Resonance free regions in magnetic scattering by two solenoidal fields at large separation
- The Aharonov-Bohm effect and scattering theory
- On radial Schrödinger operators with a Coulomb potential: general boundary conditions
- Mathematical justification of the Aharonov-Bohm Hamiltonian
- Scattering on a finite chain of vortices
- On the Aharonov-Bohm Hamiltonian
- Wave propagation on Euclidean surfaces with conical singularities. I: Geometric diffraction
- The Aharonov-Bohm solenoids in a constant magnetic field
- On radial Schrödinger operators with a Coulomb potential
- Propagation of singularities for the wave equation on conic manifolds
- Resonances in scattering by two magnetic fields at large separation and a complex scaling method
- Semiclassical analysis for magnetic scattering by two solenoidal fields: total cross sections
- Fourier integral operators. II
- SPECTRAL AND SCATTERING THEORY FOR THE AHARONOV–BOHM OPERATORS
- On the diffraction of waves by conical singularities. I
- Significance of Electromagnetic Potentials in the Quantum Theory
- Krein’s formula approach to the multisolenoid Aharonov–Bohm effect
- Lagrangian Intersection and the Cauchy Problem
- Aharonov–Bohm effect with δ-type interaction
- Adjoints of elliptic cone operators
- Generalized boundary conditions for the Aharonov–Bohm effect combined with a homogeneous magnetic field
- Scattering and self-adjoint extensions of the Aharonov–Bohm Hamiltonian
- Hamiltonians for Two-Anyon Systems
- Magnetic perturbations of anyonic and Aharonov–Bohm Schrödinger operators
- The Aharonov-Bohm problem revisited.
- Aharonov-Bohm effect in scattering by point-like magnetic fields at large separation
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