2011 Fiscal Year Final Research Report
Spectral analysis of a quantum system interacting with a quantum field
| Project/Area Number |
22840022
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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 | Shinshu University |
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Principal Investigator |
SUZUKI Akito 信州大学, 工学部, 助教 (70585611)
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| Project Period (FY) |
2010 – 2011
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| Keywords | 基底状態 / スペクトル解析 / 場の量子論 / 束縛の強化 / パウリ・フィールツ模型 / ネルソン模型 |
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| Research Abstract |
The Pauli-Fierz model describes the interaction between a nonrelativistic quantum particle moving under the influence of an external potential and an quantized electromagnetic field. In this research, we showed the absence of ground states of the Pauli-Fierz model for a sufficiently small coupling constant describing the strength of the interaction and obtained the critical value of the coupling constant for which there is no ground state.
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