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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| s11005-019-01191-x.pdf | 90.28 kB | Adobe PDF | 見る/開く |
| タイトル: | On the Mourre estimates for Floquet Hamiltonians |
| 著者: | Adachi, Tadayoshi    https://orcid.org/0000-0001-5406-2811 (unconfirmed)Kiyose, Amane |
| 著者名の別形: | 足立, 匡義 |
| キーワード: | Mourre estimates Floquet Hamiltonians Schrödinger operator with time-periodic potentials AC Stark Hamiltonians |
| 発行日: | Nov-2019 |
| 出版者: | Springer Science and Business Media LLC |
| 誌名: | Letters in Mathematical Physics |
| 巻: | 109 |
| 号: | 11 |
| 開始ページ: | 2513 |
| 終了ページ: | 2529 |
| 抄録: | In the spectral and scattering theory for a Schrödinger operator with a time-periodic potential H(t)=p²/2+V(t, x) , the Floquet Hamiltonian K=−i∂t+H(t) associated with H(t) plays an important role frequently, by virtue of the Howland–Yajima method. In this paper, we introduce a new conjugate operator for K in the standard Mourre theory, that is different from the one due to Yokoyama, in order to relax a certain smoothness condition on V. |
| 著作権等: | This is a post-peer-review, pre-copyedit version of an article published in Letters in Mathematical Physics. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11005-019-01191-x. The full-text file will be made open to the public on 1 November 2020 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
| URI: | http://hdl.handle.net/2433/244664 |
| DOI(出版社版): | 10.1007/s11005-019-01191-x |
| 出現コレクション: | 学術雑誌掲載論文等 |
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