An Introduction to the Mathematical Structure of Quantum Mechanics 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


An Introduction to the Mathematical Structure of Quantum Mechanics

简体网页||繁体网页
F. Strocchi 作者
World Scientific Publishing
译者
2005-11-21 出版日期
146 页数
CAD 81.03 价格
Hardcover
丛书系列
9789812564313 图书编码

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An Introduction to the Mathematical Structure of Quantum Mechanics 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

An Introduction to the Mathematical Structure of Quantum Mechanics 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

An Introduction to the Mathematical Structure of Quantum Mechanics 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024



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This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. Rather than starting from the Dirac?Von Neumann axioms, the book offers a short presentation of the mathematical structure of QM using the C*-algebraic structure of the observable based on the operational definition of measurements and the duality between states and observables. The description of states and observables as Hilbert space vectors and operators is then derived from the GNS and Gelfand?Naimark Theorems. For finite degrees of freedom, the Weyl algebra codifies the experimental limitations on the measurements of position and momentum (Heisenberg uncertainty relations) and Schroedinger QM follows from the von Neumann uniqueness theorem. The existence problem of the dynamics is related to the self-adjointness of the differential operator describing the Hamiltonian and solved by the Rellich?Kato theorems. Examples are discussed which include the explanation

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