Construction of abstract theory for Schrodinger evolution equations
| Project/Area Number |
15K17558
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Basic analysis
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| Research Institution | Kanagawa University (2017)
Tokyo University of Science (2015-2016) |
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Principal Investigator |
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 抽象発展方程式 / シュレディンガー発展方程式 / 双曲型制御問題 / リパルシブ・ハミルトニアン / 双曲型発展方程式 / 時間依存型ユニタリー変換 / 摂動論 / 一般コーシー問題 |
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| Outline of Final Research Achievements |
We could not construct abstract theory for Schrodinger evolution equations.
However, we obtained small results.
One is the solvability of a kind of optimal control problem for Schrodinger evolution equations. Next one is the partial expansion of the scattering theorem for Repulsive Hamiltonian. These studies are important foundations in applied analysis.
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Report
(4 results)
Research Products
(8 results)
