2013 Fiscal Year Final Research Report
Spectral Analysis on the Schroedinger Operators with Matrix Coefficients and Its Applications
| Project/Area Number |
23540204
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Okayama University |
|---|
Principal Investigator |
HIROKAWA Masao 岡山大学, 自然科学研究科, 教授 (70282788)
|
|---|
| Project Period (FY) |
2011 – 2013
|
| Keywords | 行列係数を持つシュレディンガー作用素 / ラビ模型 / 超対称性 / 自発的超対称性の破れ / ディラック作用素 / 自己共役拡張 / 境界条件 / 量子ビット |
|---|
| Research Abstract |
I had studied the Schroedinger operators with matrix coefficients in the light of the problems for controlling and transporting qubit. As for the former problem, I had made spectral analysis for the Rabi model and the Janes-Cummings model describing a 2-level (artificial) atom coupled with a 1-mode photon. I had investigated the mathematical properties on the energy as the coupling strength between the atom and the photon get larger. As for the latter problem, I had performed the research into the characterization of the quantum tunneling phase factor and the clarification of its mathematical properties.
|
