2014 Fiscal Year Final Research Report
Quantum Painleve systems and hypergeometric integrals
| Project/Area Number |
25887047
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Rikkyo University |
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Principal Investigator |
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| Project Period (FY) |
2013-08-30 – 2015-03-31
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| Keywords | 超幾何積分 / パンルヴェ系 / 共形場理論 |
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| Outline of Final Research Achievements |
Our aim was to establish an understanding of a relation between hypergeometric integrals and quantum Painleve systems. In this project, we constructed Schrodinger equations from hypergeometric integrals defined appropriately. Taking classical limit of those Schrodinger equations, we obtained Hamiltonian systems admitting hypergeometric integrals as special solutions. Our result give an understanding of a relation between hypergeometric integrals and Schrodinger systems.
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| Free Research Field |
可積分系
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