| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
(1) I studied some operator inequalities associated with self-dual cones. By applying these operator inequalities, I constructed a novel method of analyzing removal of the ultraviolet cutoff for the Froehlich model. By the method, I solved a longstanding problem, that is, I proved uniqueness of ground states for the Froehlich model. These results are published in international journals.
(2) I investigated a many-electron system coupled to the quantized radiation field. I obtained a useful upper bound of the charge susceptibility of the system. As a result, I proved the absence of long-range charge order. This result is published in an international journal.
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