Threshold eigenfunctions and threshold resonances of some relativistic operators
Abstract
We give a review of recent developments on the study of threshold eigenfunctions and threshold resonances of magnetic Dirac operators and Pauli operators. Emphasis is placed on a proof of the non-existence of threshold resonances of the magnetic Dirac operators in a concise manner.
Keywords
Dirac operators,
magnetic potentials,
threshold energies,
threshold resonances,
threshold eigenfunctions,
zero modes
Supporting agencies: TU is supported by Grant-in-Aid for Scientific Research (C) No. 21540193, Japan Society for the Promotion of Science.
About the Authors
Y. Saitō
University of Alabama at Birmingham
United States
United States
Yoshimi Saitō – Emeritus Professor, Department of Mathematics
Birmingham
T. Umeda
University of Hyogo
Japan
Japan
Tomio Umeda – Department of Mathematical Sciences, Professor
Himeji
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Review
For citations:
Saitō Y., Umeda T. Threshold eigenfunctions and threshold resonances of some relativistic operators. Nanosystems: Physics, Chemistry, Mathematics. 2011;2(4):71-77.
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