2012 Fiscal Year Final Research Report
A Study in the spectral theory of the periodic Schr?dinger operators
| Project/Area Number |
23840042
|
|---|
| Research Category |
Grant-in-Aid for Research Activity Start-up
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Doshisha University |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2011 – 2012
|
| Keywords | シュレディンガー作用素 / 周期ポテンシャル / 点相互作用 / スペクトル理論 / スペクトラルギャップ / モノドロミー行列 / 回転数 / 量子グラフ / ジグザグナノチューブ |
|---|
| Research Abstract |
In this research, I identified the degenerate spectral gaps of the one-dimensional Schr . dinger operator with periodic generalized point interactions. Moreover, it turned out that the spectrum of periodic Schr.dinger operators on a zigzag nanotube with δ type vertex conditions and I obtained the asymptotics of the band edges.
|
