najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМОnajo-1182Research ArticleMATHEMATICSМАТЕМАТИКАThreshold eigenfunctions and threshold resonances of some relativistic operatorsSaitōY.

Yoshimi Saitō – Emeritus Professor, Department of Mathematics

Birmingham

saito@math.uab.eduUmedaT.

Tomio Umeda – Department of Mathematical Sciences, Professor

Himeji

umeda@sci.u-hyogo.ac.jpUniversity of Alabama at BirminghamUnited StatesUniversity of HyogoJapan201118082025247177Copyright © Saitō Y., Umeda T., 20252025Saitō Y., Umeda T.Saitō Y., Umeda T.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/1182

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.

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The authors declare that there are no conflicts of interest present.