1999 Fiscal Year Final Research Report Summary
Studies on Differential Equations in Quantum Mechanics
| Project/Area Number |
10640166
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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 | KYOTO INSTITUTE OF TECHNOLOGY |
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Principal Investigator |
UCHIYAMA Jun Faculty of Textile Science, Professor, 繊維学部, 教授 (70025401)
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| Co-Investigator(Kenkyū-buntansha) |
MAITANI Fumio Faculty of Engineering and Design, KYOTO INSTITUTE OF TECHNOLOGY Professor, 工芸学部, 教授 (10029340)
NAKAOKA Akira Faculty of Engineering and Design, KYOTO INSTITUTE OF TECHNOLOGY Professor, 工芸学部, 教授 (90027920)
IWATSUKA Akira Faculty of Textile Science, KYOTO INSTITUTE OF TECHNOLOGY Professor, 繊維学部, 教授 (40184890)
YAGASAKI Tatsuhiko Faculty of Engineering and Design, KYOTO INSTITUTE OF TECHNOLOGY Associate Professor, 工芸学部, 助教授 (40191077)
OKURA Hiroyuki Faculty of Engineering and Design, KYOTO INSTITUTE OF TECHNOLOGY Associate Professor, 工芸学部, 助教授 (80135649)
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| Project Period (FY) |
1998 – 1999
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| Keywords | quantum mechanics / differential equation / Schrodinger operator / positive eigenvalue / Neumann-Wiegner potential / limiting absorption principle / unique continuation theorem |
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| Research Abstract |
I, the head investigator of our project "Studies on differential equations in the quantum mechanics", participated in many symposia or workshops held in the period from April, 1999 to March, 2000 such as
"Fourth Workshop on Differential Equations" (Kwangju, Korea) (7/26-7/31)
"The summer symposium on operator theory" (Hakodate) (8/27-8/30)
"Okayama symposium on linear and nonlinear partial differential equations"
(Okayama) (10/9-10/11)
"the symposium on differential equations" (Tokyo) (12/21-12/26)
"Sendai symposium on partial differential equations" (Sendai) (1/30-2/2).
And I received many informations related to our project from there.
In the "Fourth Workshop on Differential Equations" held at Chonnam national university, Kwangju, Korea, I gave a lecture titled "Simple Construction of the Schrodinger Operators having many positive eigenvalues".
In this symposium, I got a new information on the limiting absorption principle associated to the Schrodinger operators with Neumann-Wigner potentials.
In the symposia in which I participated, I also obtained new results on the unique continuation theorem which is connected with the non-existence of the positive eigenvalues of the Schrodinger operators. I am interested in this problem.
All other investigators associated to our project partipated to many symposia respectively, and recognized the problems which are related in the differential equations in quantum mechanics. Their results are reported in the "Reports of research project, grant-in-aid for scientific research, the differential equations in the quantum mechanics".
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