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  1. D200 大学院多元数理科学研究科
  2. D200f 教材
  3. オープンコースウェア

C﹡-algebraic methods in spectral theory

http://hdl.handle.net/2237/24074
http://hdl.handle.net/2237/24074
dbf1629b-1042-4863-980a-8409a6a070bc
名前 / ファイル ライセンス アクション
Title.pdf Title.pdf (43.0 kB)
Contents.pdf Contents.pdf (114.2 kB)
Chapter_1.pdf Chapter_1.pdf Linear operators on a Hilbert space (353.0 kB)
Chapter_2.pdf Chapter_2.pdf C*-algebras (377.0 kB)
Chapter_3.pdf Chapter_3.pdf Crossed product C*-algebras (359.0 kB)
Chapter_4.pdf Chapter_4.pdf Schroedinger operators and essential spectrum (335.7 kB)
Chapter_5.pdf Chapter_5.pdf Twisted crossed product C*-algebras (355.2 kB)
Chapter_6.pdf Chapter_6.pdf Pseudodifferential calculus (268.0 kB)
Chapter_7.pdf Chapter_7.pdf Magnetic systems (316.9 kB)
Bibliography.pdf Bibliography.pdf (145.7 kB)
Item type 教材 / Learning Material(1)
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

WEKO 65304

en 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
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
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