Foundations of Quantum Theory: From Classical Concepts to Operator Algebras
暫譯: 量子理論基礎：從經典概念到算子代數

Landsman, Klaas

Foundations of Quantum Theory: From Classical Concepts to Operator Algebras
  • 出版商: Springer
  • 出版日期: 2017-05-24
  • 售價: $2,680
  • 貴賓價: 9.5 折 $2,546
  • 語言: 英文
  • 頁數: 861
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3319517767
  • ISBN-13: 9783319517766
  • 相關分類: 量子 Quantum

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商品描述

This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*-algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory.

This book is Open Access under a CC BY licence.


商品描述(中文翻譯)

這本書通過量子理論與經典物理的關係來研究量子理論的基礎。這一觀點可以追溯到哥本哈根詮釋（最初由波爾和海森堡提出），作者將其與冯·諾伊曼最初創建的算子代數的數學形式主義聯繫起來。因此，本書包括有關函數分析和C*-代數的全面附錄，以及關於邏輯、範疇理論和拓撲理論的簡要附錄。詳細涵蓋的基礎性和數學性問題包括對稱（及其「自發」破缺）、測量問題、科肯-斯佩克定理、自由意志和貝爾定理、卡迪森-辛格猜想、量子化、不可區分粒子、大系統的量子理論以及量子邏輯，後者與拓撲方法在量子理論中的應用有關。

本書在CC BY許可下開放存取。

作者簡介

Klaas Landsman (1963) obtained his PhD in Theoretical High-Energy Physics from the University of Amsterdam in 1989. He was a research fellow at the University of Cambridge from 1989-1997, with a sojourn as Alexander von Humboldt Fellow in Hamburg from 1993-94. He was subsequently a Royal Academy Research Fellow at the University of Amsterdam from 1997-2002, and obtained a Pioneer Grant from NWO in 2002. Klaas has held the Chairs in Analysis and subsequently in Mathematical Physics at the Radboud University since 2004, and in 2011 was awarded the Bronze Medal of this university for his outreach work in mathematics. His research is mainly concerned with non-commutative geometry and with the mathematical foundations of quantum theory.


作者簡介(中文翻譯)

Klaas Landsman（1963年）於1989年在阿姆斯特丹大學獲得理論高能物理學的博士學位。他於1989年至1997年在劍橋大學擔任研究員，並於1993年至1994年期間在漢堡擔任亞歷山大·馮·洪堡研究員。隨後，他於1997年至2002年在阿姆斯特丹大學擔任皇家學院研究員，並於2002年獲得NWO的先驅獎助金。自2004年以來，Klaas在拉德堡大學擔任分析學及隨後的數學物理學教授，並於2011年因其在數學推廣工作中表現卓越而獲得該大學的銅獎勳章。他的研究主要集中在非交換幾何和量子理論的數學基礎上。

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