The construction ofthe spectral theory on quantum deformed operators and its application to quantum physics
| Project/Area Number |
20540178
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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 | Kyushu University |
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Principal Investigator |
OTA Shoichi 九州大学, 大学院・芸術工学研究院, 教授 (70107176)
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| Co-Investigator(Kenkyū-buntansha) |
井上 淳 福岡大学, 理学部, 教授 (50078557)
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| Co-Investigator(Renkei-kenkyūsha) |
INOUE Atushi 福岡大学, 理学部, 教授 (50078557)
CHO Muneo 神奈川大学, 工学部, 教授 (10091620)
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| Project Period (FY) |
2008 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | unbounded operator / deformed operator / q-normal operator / Hilbert space / subnormal operator / q-normal / q-circular |
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| Research Abstract |
A kind of spectral theory of q-deformed operators in a Hilbert space is needed so that unbounded representations of quantum algebras are analyzed. This work is devoted toinvestigating a q-normal operator in a Hilbert space, compared with a standard spectral measure and the spectral decomposition for a normal operator in a Hilbertspace. It is shown that, if a positive number q is smaller than 1, every q-normal operator in a Hilbert space is extended to a standard normal operator in a possibly larger Hilbert space.
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Report
(6 results)
Research Products
(28 results)
