2012 Fiscal Year Final Research Report
Research on the problems of merging turning points via the semi-classical and microlocal analysis
| Project/Area Number |
22740094
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Ritsumeikan University |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2012
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| Keywords | 完全 WKB 解析 / 準古典解析 / 超局所解析 / 遷移確率 / 変わり点 |
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| Research Abstract |
In the two-level adiabatic transition probability with a small gap, we show how "turning points" and "Stokes lines", which are characterized by the so-called avoided crossings, affect the asymptotic behavior of the transition probability. The results gave us a great benefit for the future problems which include many turning points of higher degree.
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