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Path integral representation for schrödinger operators with bernstein functions of the laplacian
https://doi.org/10.24517/00010538
https://doi.org/10.24517/0001053842c3c6b7-7afe-45b2-be79-8506b0d8968a
| 名前 / ファイル | ライセンス | アクション |
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SC-PR-ICHINOSE-T-1250013.pdf (457.7 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||||
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| 公開日 | 2017-10-03 | |||||||||
| タイトル | ||||||||||
| タイトル | Path integral representation for schrödinger operators with bernstein functions of the laplacian | |||||||||
| 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 | 10.24517/00010538 | |||||||||
| 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 |
Reviews in Mathematical Physics 巻 24, 号 6, p. 1250013, 発行日 2012-07-01 |
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| ISSN | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 0129-055X | |||||||||
| NCID | ||||||||||
| 収録物識別子タイプ | NCID | |||||||||
| 収録物識別子 | AA10723815 | |||||||||
| DOI | ||||||||||
| 関連タイプ | isVersionOf | |||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | 10.1142/S0129055X12500134 | |||||||||
| 出版者 | ||||||||||
| 出版者 | World Scientific Publishing | |||||||||
| 抄録 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | Path integral representations for generalized Schrödinger operators obtained under a class of Bernstein functions of the Laplacian are established. The one-to-one correspondence of Bernstein functions with Lévy subordinators is used, thereby the role of Brownian motion entering the standard FeynmanKac formula is taken here by subordinate Brownian motion. As specific examples, fractional and relativistic Schrödinger operators with magnetic field and spin are covered. Results on self-adjointness of these operators are obtained under conditions allowing for singular magnetic fields and singular external potentials as well as arbitrary integer and half-integer spin values. This approach also allows to propose a notion of generalized Kato class for which an L p-L q bound of the associated generalized Schrödinger semigroup is shown. As a consequence, diamagnetic and energy comparison inequalities are also derived. © 2012 World Scientific Publishing Company. | |||||||||
| 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 | |||||||||
