Mathematical Foundations of Quantum Mechanics pdf epub mobi txt 電子書 下載 2024


Mathematical Foundations of Quantum Mechanics

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John von Neumann
Princeton University Press
1996-10-28
464
USD 99.95
Paperback
Princeton Landmarks in Mathematics and Physics
9780691028934

圖書標籤: 數學  物理  量子力學  量子力學的數學基礎  quantum  math  QuantumMechanics  物理學   


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发表于2024-12-25

Mathematical Foundations of Quantum Mechanics epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

Mathematical Foundations of Quantum Mechanics epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

Mathematical Foundations of Quantum Mechanics pdf epub mobi txt 電子書 下載 2024



圖書描述

Mathematical Foundations of Quantum Mechanics was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth century, shows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics. He begins by presenting the theory of Hermitean operators and Hilbert spaces. These provide the framework for transformation theory, which von Neumann regards as the definitive form of quantum mechanics. Using this theory, he attacks with mathematical rigor some of the general problems of quantum theory, such as quantum statistical mechanics as well as measurement processes. Regarded as a tour de force at the time of publication, this book is still indispensable for those interested in the fundamental issues of quantum mechanics.

Mathematical Foundations of Quantum Mechanics 下載 mobi epub pdf txt 電子書

著者簡介

John von Neumann (/vɒn ˈnɔɪmən/; Hungarian: Neumann János Lajos, pronounced [ˈnɒjmɒn ˈjaːnoʃ ˈlɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, and polymath. He made major contributions to a number of fields, including mathematics (foundations of mathematics, functional analysis, ergodic theory, representation theory, operator algebras, geometry, topology, and numerical analysis), physics (quantum mechanics, hydrodynamics, and quantum statistical mechanics), economics (game theory), computing (Von Neumann architecture, linear programming, self-replicating machines, stochastic computing), and statistics.

Von Neumann was generally regarded as the foremost mathematician of his time[2] and said to be "the last representative of the great mathematicians".[3] He was a pioneer of the application of operator theory to quantum mechanics in the development of functional analysis, and a key figure in the development of game theory and the concepts of cellular automata, the universal constructor and the digital computer. He published over 150 papers in his life: about 60 in pure mathematics, 20 in physics, and 60 in applied mathematics, the remainder being on special mathematical subjects or non-mathematical ones.[4] His last work, an unfinished manuscript written while in hospital, was later published in book form as The Computer and the Brain.

His analysis of the structure of self-replication preceded the discovery of the structure of DNA. In a short list of facts about his life he submitted to the National Academy of Sciences, he stated, "The part of my work I consider most essential is that on quantum mechanics, which developed in Göttingen in 1926, and subsequently in Berlin in 1927–1929. Also, my work on various forms of operator theory, Berlin 1930 and Princeton 1935–1939; on the ergodic theorem, Princeton, 1931–1932."

During World War II, von Neumann worked on the Manhattan Project; he developed the mathematical models that were behind the explosive lenses used in the implosion-type nuclear weapon. After the war, he served on the General Advisory Committee of the United States Atomic Energy Commission, and later as one of its commissioners. He was a consultant to a number of organizations, including the United States Air Force, the Army's Ballistic Research Laboratory, the Armed Forces Special Weapons Project, and the Lawrence Livermore National Laboratory. Von Neumann, theoretical physicist Edward Teller, mathematician Stanislaw Ulam and others worked out key steps in the nuclear physics involved in thermonuclear reactions and the hydrogen bomb.


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