| 発表言語 |
日本語
|
| 開催日 |
2010年07月23日 15時30分
|
| 終了日 |
2010年07月23日 17時30分
|
| 開催場所 | 京都大学理学部3号館 (数学教室) 305号室 |
| セミナー名 | NLPDEセミナー |
| タイトル |
On the degenerate spectral gaps of the one-dimensional Schr\"odinger operators with the periodic $\delta^{(1)}$-interactions |
| 分野 |
解析
|
| 講演者名 | 新國 裕昭 |
| 講演者所属 | 東京大学 |
| 概要 | In this talk, we focus on the one-dimensional Schr\"
odinger oprators with the periodic $\delta^{(1)}$-interactions, which
are defined through the distribution theory for the discontinuous test
functions. According to the Floquet-Bloch theory, its spectrum consists
of the infinitely many closed intervals, which are called the bands of
the spectrum. Consecutive bands are separated by an open set called
the spectral gap. The main purpose of this talk is to determine whether
the $j$-th spectral gap is degenerate or not for a given natural number
$j$ by using the rotation number.
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