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C﹡-algebraic methods in spectral theory
http://hdl.handle.net/2237/24074
http://hdl.handle.net/2237/24074dbf1629b-1042-4863-980a-8409a6a070bc
Item type | 教材 / Learning Material(1) | |||||
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公開日 | 2016-04-28 | |||||
タイトル | ||||||
タイトル | C﹡-algebraic methods in spectral theory | |||||
言語 | en | |||||
著者 |
Richard, Serge
× Richard, Serge |
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アクセス権 | ||||||
アクセス権 | open access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||
権利 | ||||||
言語 | en | |||||
権利情報 | “This document was compiled (some parts were modified) based on course materials for C﹡-algebraic methods in spectral theory (2014) available on the Nagoya University OpenCourseWare (NU OCW) site and were compiled by Nagoya University instructor Serge RICHARD.” Copyright © 2014 Serge RICHARD. | |||||
抄録 | ||||||
内容記述 | This course will provide an overview on some of the most recent tools introduced in functional analysis for the study of operators related to quantum mechanics. During the first lectures, we shall review some basics properties of bounded and unbounded operators on Hilbert spaces, and introduce the spectral theorem for self-adjoint operators. After reviewing some definitions and properties related to C*-algebras, we shall show how crossed product C*-algebras are naturally linked to generalized Schroedinger operators, and how information on these operators can be deduced from representations of these algebras. A related construction involving twisted crossed product algebras and its application for magnetic systems will then be discussed. | |||||
言語 | en | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
言語 | en | |||||
出版者 | Nagoya University OpenCourseWare Steering Committee | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_e059 | |||||
タイプ | learning object | |||||
関連情報 | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | URI | |||||
関連識別子 | https://ocw.ilas.nagoya-u.ac.jp/index.php?lang=en&mode=c&id=435&page_type=index | |||||
書誌情報 |
発行日 2014-08-08 |
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著者版フラグ | ||||||
値 | publisher | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/24074 | |||||
識別子タイプ | HDL |