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Probabilistic representation and fall-off of bound states of relativistic Schrödinger operators with spin 1/2
https://doi.org/10.24517/00042078
https://doi.org/10.24517/00042078e7f57f44-2abe-4581-bc21-ba7ccbd7ffb1
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
SC-PR-ICHINOSE-T-189.pdf (196.4 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||||
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| 公開日 | 2019-05-23 | |||||||||
| タイトル | ||||||||||
| タイトル | Probabilistic representation and fall-off of bound states of relativistic Schrödinger operators with spin 1/2 | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| 資源タイプ | journal article | |||||||||
| ID登録 | ||||||||||
| ID登録 | 10.24517/00042078 | |||||||||
| ID登録タイプ | JaLC | |||||||||
| 著者 |
Hiroshima, Fumio
× Hiroshima, Fumio× Ichinose, Takashi× Lörinczi, József |
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| 著者別表示 |
廣島, 文生
× 廣島, 文生
× 一瀬, 孝
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| 書誌情報 |
Publications of the Research Institute for Mathematical Sciences 巻 49, 号 1, p. 189-214, 発行日 2013-01-01 |
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| ISSN | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 0034-5318 | |||||||||
| NCID | ||||||||||
| 収録物識別子タイプ | NCID | |||||||||
| 収録物識別子 | AA00796798 | |||||||||
| DOI | ||||||||||
| 関連タイプ | isVersionOf | |||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | 10.4171/PRIMS/102 | |||||||||
| 出版者 | ||||||||||
| 出版者 | Kyoto University, Research Institute for Mathematical Sciences 京都大学数理解析研究所 / European Mathematical Society | |||||||||
| 抄録 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | A Feynman-Kac type formula for relativistic Schrödinger operators with unbounded vector potential and spin 1=2 is given in terms of a three-component process consisting of a Brownian motion, a Poisson process and a subordinator. This formula is obtained for unbounded magnetic fields and magnetic fields with zeros. From this formula an energy comparison inequality is derived. Spatial decay of bound states is established separately for growing and for decaying potentials by using martingale methods. © 2013 Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. | |||||||||
| 権利 | ||||||||||
| 権利情報 | © 2013 Research Institute for Mathematical Sciences, Kyoto University. | |||||||||
| 著者版フラグ | ||||||||||
| 出版タイプ | AM | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||
