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Studies on the Generalized Spin-Boson Models
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| Title: | Studies on the Generalized Spin-Boson Models |
| Other Titles: | 一般化されたスピン-ボソンモデルに関する研究 |
| Authors: | 寺西, 功哲1 Browse this author |
| Authors(alt): | Teranishi, Noriaki1 |
| Issue Date: | 25-Mar-2014 |
| Publisher: | Hokkaido University |
| Abstract: | We consider an abstract model which describes an interaction of non-relativistic particles with a Bose field. We show that the essential self-adjointness of the generalized spin-boson Hamiltonian with a quadratic boson interaction for all coupling constant and the Hamiltonian is self-adjoint if it is bounded from below under some conditions. We consider a unitary transformation of the Hamiltonian. Using the unitary transformation, we give a sufficient condition for the semiboundedness of the Hamiltonian.We are also interested in the ground states of the Hamiltonian. From the Birman-Schwinger principle, one can show that the Hamiltonian has no ground states for enough small coupling constants under a suitable condition. Finally, we apply our theorems to the Pauli-Fierz type Hamiltonian. |
| Conffering University: | 北海道大学 |
| Degree Report Number: | 甲第11367号 |
| Degree Level: | 博士 |
| Degree Discipline: | 理学 |
| Examination Committee Members: | (主査) 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/2115/55453 |
| Appears in Collections: | 学位論文 (Theses) > 博士 （理学）
課程博士 (Doctorate by way of Advanced Course) > 理学院(Graduate School of Science)
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