The spectrum and the scattering problem for the Schrödinger operator in a magnetic field

DOI10.1134/S0001434608030073zbMath1153.81012MaRDI QIDQ2517984

Yanyan Li

Publication date: 12 January 2009

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

magnetic fieldresolvent equationelectric potentialscattering theoryLaplacianspectrum of the Schrödinger operatorreal singularity

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) (2)-body potential quantum scattering theory (81U05)

Related Items (2)

The resolvent equation of the one-dimensional Schrödinger operator on the whole axis ⋮ Unnamed Item

Cites Work

• Spectrum and scattering for Schrödinger operators with unbounded coefficients
• Some properties of eigenfunctions of the Schrödinger operator in a magnetic field
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