Semi-classical bounds on scattering cross sections in two dimensional magnetic fields

DOI10.1017/S0027763000006309zbMath0905.35057MaRDI QIDQ4386094

Hideo Tamura

Publication date: 11 January 1999

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

zbMATH Keywords

scattering matrixnon-trapping energy range

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Scattering theory for PDEs (35P25) (S)-matrix theory, etc. in quantum theory (81U20)

Cites Work

• The Aharonov-Bohm effect and scattering theory
• Breit-Wigner formulas for the scattering phase and the total scattering cross-section in the semi-classical limit
• Scattering of particles by long-range magnetic fields
• Finite total cross-sections in nonrelativistic quantum mechanics
• Schrödinger operators with magnetic fields. I: General interactions
• An Estimate Near the Boundary for the Spectral Function of the Laplace Operator
• SEMI-CLASSICAL ANALYSIS FOR TOTAL CROSS-SECTIONS OF MAGNETIC SCHRÖDINGER OPERATORS IN TWO DIMENSIONS

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