ID | 53916 |
FullText URL | |
Author |
Tamura, Hideo
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Abstract | 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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Keywords | Aharonov–Bohm effect
magnetic Schrödinger operator
resolvent kernel
resonances
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Published Date | 2016-01
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Publication Title |
Mathematical Journal of Okayama University
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Volume | volume58
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Issue | issue1
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Publisher | Department of Mathematics, Faculty of Science, Okayama University
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Start Page | 1
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End Page | 39
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ISSN | 0030-1566
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NCID | AA00723502
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Content Type |
Journal Article
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language |
English
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Copyright Holders | Copyright©2016 by the Editorial Board of Mathematical Journal of Okayama University
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File Version | publisher
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Refereed |
True
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Submission Path | mjou/vol58/iss1/1
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JaLCDOI |