2009 Fiscal Year Final Research Report
A study on the spectrum of Dirac operators
| Project/Area Number |
18540196
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Ritsumeikan University |
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Principal Investigator |
YAMADA Osanobu Ritsumeikan University, 理工学部, 教授 (70066744)
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| Co-Investigator(Kenkyū-buntansha) |
WATANABE Takuya 立命館大学, 理工学部, 助教 (80458009)
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| Co-Investigator(Renkei-kenkyūsha) |
ARAI Masaharu 立命館大学, 理工学部, 教授 (20066715)
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)
OSAKA Hiroyuki 立命館大学, 理工学部, 教授 (00244286)
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| Project Period (FY) |
2006 – 2009
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| Keywords | ディラック方程式 / スペクトル理論 / 固有値問題 / 相対論的量子力学 |
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| Research Abstract |
We investigated spectral theory of Dirac operators.
Dirac operators appears in the relativistic quantum mechanics, while Schroedinger operators are studied in non-relativistic quantum mechanics. In the spectral theory of partial differential operators there are some differences between Dirac operators and Schroedinger operators、which are interesting points of our research. In the present research we have studied especially
(1) a connection between the spectrum of Dirac operators and the one of Schroedinger operators as the light speed c tends to infinity (article (3))
(2) the spectrum of Dirac operators in the Kerr-Newman metric, which appears in the black hole theory(articles (1), (12)).
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Research Products
(27 results)
