SEMI-CLASSICAL ANALYSIS FOR TOTAL CROSS-SECTIONS OF MAGNETIC SCHRÖDINGER OPERATORS IN TWO DIMENSIONS-Reference-Cited by-同舟云学术

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SEMI-CLASSICAL ANALYSIS FOR TOTAL CROSS-SECTIONS OF MAGNETIC SCHRÖDINGER OPERATORS IN TWO DIMENSIONS

Published:1995-04 Issue:03 Volume:07 Page:443-480
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

TAMURA HIDEO¹

Affiliation:

1. Department of Mathematics, Ibaraki University, Mito, Ibaraki 310, Japan

Abstract

We define total scattering cross-sections for magnetic Schrödinger operators in two dimensions and prove the shadow scattering (the quantum total cross-sections double the classical ones in the semi-classical limit) under some assumptions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X95000190

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Magnetic scattering at low energy in two dimensions;Nagoya Mathematical Journal;1999

2. Semi-classical bounds on scattering cross sections in two dimensional magnetic fields;Nagoya Mathematical Journal;1997-09

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