A particle in a magnetic field of an infinite rectilinear current

DOI10.1023/A:1024903102151zbMath1033.81030OpenAlexW2038107885MaRDI QIDQ1408673

Dimitri Yafaev

Publication date: 25 September 2003

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1024903102151

zbMATH Keywords

Schrödinger equationexplicit solutionspectral and scattering theoryBiot-Savart-Laplace magnetic field

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) Scattering theory of linear operators (47A40)

Related Items (4)

On a quantum Hamiltonian in a unitary magnetic field with axisymmetric potential ⋮ Motion of charged particles in magnetic fields created by symmetric configurations of wires ⋮ Anomalous transport ⋮ On the ground state energy of the Laplacian with a magnetic field created by a rectilinear current

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