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2014 Fiscal Year Final Research Report

Research on the spectrum and the resonance of Dirac operators

Research Project

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Project/Area Number 23540226
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Basic analysis
Research InstitutionRitsumeikan University

Principal Investigator

YAMADA Osanobu  立命館大学, 理工学部, 教授 (70066744)

Co-Investigator(Kenkyū-buntansha) FUJIIE Setsuro  立命館大学, 理工学部, 教授 (00238536)
WATANABE Takuya  立命館大学, 理工学部, 准教授 (80458009)
Co-Investigator(Renkei-kenkyūsha) ITO Hiroshi  愛媛大学, 理工学研究科, 教授 (90243005)
OKAJI Takashi  京都大学, 理学研究科, 准教授 (20160426)
Project Period (FY) 2011-04-28 – 2015-03-31
Keywordsディラック作用素 / スペクトル理論 / レゾナンス / 固有値問題
Outline of Final Research Achievements

We have studied the spectrum and the resonance of Dirac operators, especially (1) the spectral concentration and the non-relativistic limit for potentials infinite at infinity, (2) the spectral structure of many-body Dirac operators, (3) the non-existence of zero eigenvalue for the massless case. We could give our some results for these problems by the corabolation with Hiroshi Ito of Ehime University for (1) and with Takshi Okaji of Kyoto University and Hubert Kalf of Munich University for (2), (3).

Free Research Field

微分作用素のスペクトル理論

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Published: 2016-06-03  

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