Grant-in-Aid for Scientific Research (C).
|Research Institution||KYOTO INSTITUTE OF TECHNOLOGY|
UCHIYAMA Jun Faculty of Textile Science, Professor, 繊維学部, 教授 (70025401)
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)
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)
|Project Fiscal Year
1998 – 1999
Completed(Fiscal Year 1999)
|Budget Amount *help
¥3,300,000 (Direct Cost : ¥3,300,000)
Fiscal Year 1999 : ¥1,500,000 (Direct Cost : ¥1,500,000)
Fiscal Year 1998 : ¥1,800,000 (Direct Cost : ¥1,800,000)
|Keywords||quantum mechanics / differential equation / Schrodinger operator / positive eigenvalue / Neumann-Wiegner potential / limiting absorption principle / unique continuation theorem / 量子力学 / 微分方程式 / Schrodinger作用素 / 正の固有値 / Neumann-Wiegnerポテンシャル / 極限吸収原理 / 唯一接続定理 / 多体問題|
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"
"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".