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Bohr-Sommerfeld quantization rules revisited : The method of positive commutators
http://hdl.handle.net/2261/00077195
http://hdl.handle.net/2261/00077195fc2e310e-cdf8-4d1d-a971-ace54787efb7
名前 / ファイル | ライセンス | アクション |
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jms250201.pdf (259.0 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2019-07-01 | |||||
タイトル | ||||||
タイトル | Bohr-Sommerfeld quantization rules revisited : The method of positive commutators | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Bohr Sommerfeld | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Weyl quantization | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | positive commutators | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | flux norm | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | microlocal Wronskian | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Ifa, Abdelwaheb
× Ifa, Abdelwaheb× Louati, Hanen× Rouleux, Michel |
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著者所属 | ||||||
著者所属 | Université de Tunis El-Manar, Département de Mathématiques | |||||
著者所属 | ||||||
著者所属 | Université de Tunis El-Manar, Département de Mathématiques/Aix Marseille Univ., Univ. Toulon, CNRS, CPT | |||||
著者所属 | ||||||
著者所属 | Aix Marseille Univ., Univ. Toulon, CNRS, CPT | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We revisit the well known Bohr-Sommerfeld quantization rule (BS) of order 2 for a self-adjoint 1-D $h$-Pseudo-differential operator within the algebraic and microlocal framework of Helffer and Sj\"ostrand; BS holds precisely when the Gram matrix consisting of scalar products of some WKB solutions with respect to the ``flux norm'' is not invertible. It is simplified by using action-angle variables. The interest of this procedure lies in its possible generalization to matrix-valued Hamiltonians, like Bogoliubov-de Gennes Hamiltonian. | |||||
書誌情報 |
Journal of Mathematical Sciences The University of Tokyo 巻 25, 号 2, p. 91-127, 発行日 2018-06-29 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
Mathmatical Subject Classification | ||||||
81S10(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
81S30(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2017-04-04 |