2010 Fiscal Year Final Research Report
Research on a point of contact between classical and quantum integrable systems
| Project/Area Number |
19540228
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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 |
Global analysis
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| Research Institution | Rikkyo University |
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Principal Investigator |
KAKEI Saburo Rikkyo University, 理学部, 教授 (60318798)
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| Co-Investigator(Kenkyū-buntansha) |
KIKUCHI Tetsuya 東京大学, 大学院・数理科学研究科, 研究拠点形成特任研究員 (00374900)
SAITO Yoshihisa 東京大学, 大学院・数理科学研究科, 准教授 (20294522)
NISHIZAWA Michitomo 弘前大学, 教育学部, 准教授 (20318801)
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| Project Period (FY) |
2007 – 2010
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| Keywords | ソリトン / パンルヴェ方程式 / ヤン・バクスター写像 / shifted Jack多項式 |
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| Research Abstract |
Research on integrable systems may be divided into two categories : "classical integrable systems" and "quantum integrable systems". Preceding results suggest the deep relationship between these categories. We devote our attention mainly to two topics : (1) matrix integral solutions to Painleve equations, (2) discrete integrable systems and Yang-Baxter maps. We introduced new formulation for these two topics and obtained several new results. Furthermore, we have carried out research into special functions and obtained several results.
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