Spectral analysis of a quantum system interacting with a quantum field

Research Project

Project/Area Number	22840022
Research Category	Grant-in-Aid for Research Activity Start-up
Allocation Type	Single-year Grants
Research Field	Basic analysis
Research Institution	Shinshu University
Principal Investigator	SUZUKI Akito 信州大学, 工学部, 助教 (70585611)
Project Period (FY)	2010 – 2011
Project Status	Completed (Fiscal Year 2011)
Budget Amount *help	¥2,288,000 (Direct Cost: ¥1,760,000、Indirect Cost: ¥528,000) Fiscal Year 2011: ¥1,092,000 (Direct Cost: ¥840,000、Indirect Cost: ¥252,000) Fiscal Year 2010: ¥1,196,000 (Direct Cost: ¥920,000、Indirect Cost: ¥276,000)
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 / 結晶 / フォック空間
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.

Report

(3 results)