Scattering by magnetic fields
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Publication:5485845
DOI10.1090/S1061-0022-06-00934-4zbMath1110.47065arXivmath/0501544MaRDI QIDQ5485845
Publication date: 4 September 2006
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0501544
Scattering theory for PDEs (35P25) Applications of operator theory in the physical sciences (47N50) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)
Related Items (9)
Eigenvalue asymptotics for polynomially compact pseudodifferential operators ⋮ Aharonov-Bohm effect and high-momenta inverse scattering for the Klein-Gordon equation ⋮ A simple proof of magnetic and electric Aharonov-Bohm effects ⋮ The spectral density of the scattering matrix of the magnetic Schrödinger operator for high energies ⋮ High-velocity estimates for the scattering operator and Aharonov-Bohm effect in three dimensions ⋮ Inverse scattering at fixed energy for radial magnetic Schrödinger operators with obstacle in dimension two ⋮ Aharonov-Bohm effect and high-velocity estimates of solutions to the Schrödinger equation ⋮ Inverse scattering for the magnetic Schrödinger operator ⋮ The electric Aharonov-Bohm effect
Cites Work
- The Aharonov-Bohm effect and scattering theory
- Scattering of particles by long-range magnetic fields
- High-energy and smoothness asymptotic expansion of the scattering amplitude.
- Scattering matrix for magnetic potentials with Coulomb decay at infinity
- Scattering theory: some old and new problems
- Strong magnetic fields, Dirichlet boundaries, and spectral gaps
- Topological effects in quantum mechanics
- Significance of Electromagnetic Potentials in the Quantum Theory
- On the classical and quantum Coulomb scattering
- On the mathematical theory of the Aharonov$ndash$Bohm effect
- The scattering matrix for the Schrödinger operator with a long-range electromagnetic potential
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