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Spectral analysis of an abstract pair interaction model
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| Title: | Spectral analysis of an abstract pair interaction model |
| Other Titles: | 抽象的な対相互作用モデルのスペクトル解析 |
| Authors: | 浅原, 啓輔 Browse this author |
| Issue Date: | 25-Mar-2019 |
| Publisher: | Hokkaido University |
| Abstract: | We consider an abstract pair-interaction model in quantum field theory with a coupling constant λ ∈ R and analyze the Hamiltonian H(λ) of the model. In the massive case, there exist constants λc < 0 and λc,0 < λc such that, for each λ ∈ (λc,0,λc) ∪ (λc,∞), H(λ) is diagonalized by a proper Bogoliubov transformation, so that the spectrum of H(λ) is explicitly identified, where the spectrum of H(λ) for λ > λc is different from that for λ ∈ (λc,0,λc). As for the case λ < λc,0, we show that H(λ) is unbounded from above and below. In the massless case, λc coincides with λc,0. |
| Conffering University: | 北海道大学 |
| Degree Report Number: | 甲第13552号 |
| Degree Level: | 博士 |
| Degree Discipline: | 理学 |
| Examination Committee Members: | (主査) 特任教授 新井 朝雄, 教授 洞 彰人, 准教授 宮尾 忠宏 |
| Degree Affiliation: | 理学院（数学専攻） |
| Type: | theses (doctoral) |
| URI: | http://hdl.handle.net/2115/74202 |
| Appears in Collections: | 課程博士 (Doctorate by way of Advanced Course) > 理学院(Graduate School of Science)
学位論文 (Theses) > 博士 （理学）
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