Journal Article Asymptotic properties in forward directions of resolvent kernels of magnetic Schrödinger operators in two dimensions

Tamura, Hideo

58 ( 1 )  , pp.1 - 39 , 2016-01 , Department of Mathematics, Faculty of Science, Okayama University
ISSN:0030-1566
NCID:AA00723502
Description
We study the asymptotic properties in forward directions of resolvent kernels with spectral parameters in the lower half plane (unphysical sheet) of the complex plane for magnetic Schrödinger operators in two dimensions. The asymptotic formula obtained has an application to the problem of quantum resonances in magnetic scattering, and it is especially helpful in studying how the Aharonov–Bohm effect influences the location of resonances. Here we mention only the results without proofs.
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http://ousar.lib.okayama-u.ac.jp/files/public/5/53916/20160528122501489428/mjou_058_001_039.pdf

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