An Introduction to the Mathematical Structure of Quantum Mechanics 2025 pdf epub mobi 電子書 下載

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An Introduction to the Mathematical Structure of Quantum Mechanics pdf epub mobi 著者簡介

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An Introduction to the Mathematical Structure of Quantum Mechanics pdf epub mobi 圖書描述

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

An Introduction to the Mathematical Structure of Quantum Mechanics 2025 pdf epub mobi 電子書 下載

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發表於2025-01-19

An Introduction to the Mathematical Structure of Quantum Mechanics 2025 pdf epub mobi 電子書 下載

An Introduction to the Mathematical Structure of Quantum Mechanics 2025 pdf epub mobi 電子書 下載

An Introduction to the Mathematical Structure of Quantum Mechanics 2025 pdf epub mobi 電子書 下載

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