Twenty-first century quantum mechanics : Hilbert space to quantum computers : mathematical methods and conceptual foundations

著者

    • Fano, Guido
    • Blinder, S. M.

書誌事項

Twenty-first century quantum mechanics : Hilbert space to quantum computers : mathematical methods and conceptual foundations

Guido Fano, S.M. Blinder

(Unitext for physics)

Springer, c2017

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注記

Includes bibliographical references (p. 263-265) and index

内容説明・目次

内容説明

This book is designed to make accessible to nonspecialists the still evolving concepts of quantum mechanics and the terminology in which these are expressed. The opening chapters summarize elementary concepts of twentieth century quantum mechanics and describe the mathematical methods employed in the field, with clear explanation of, for example, Hilbert space, complex variables, complex vector spaces and Dirac notation, and the Heisenberg uncertainty principle. After detailed discussion of the Schroedinger equation, subsequent chapters focus on isotropic vectors, used to construct spinors, and on conceptual problems associated with measurement, superposition, and decoherence in quantum systems. Here, due attention is paid to Bell's inequality and the possible existence of hidden variables. Finally, progression toward quantum computation is examined in detail: if quantum computers can be made practicable, enormous enhancements in computing power, artificial intelligence, and secure communication will result. This book will be of interest to a wide readership seeking to understand modern quantum mechanics and its potential applications.

目次

1 Twentieth Century Quantum Mechanics.- 2 Mathematical Methods in Quantum Mechanics.- 3 The Schroedinger Equation.- 4 New Adventures: Isotropic Vectors, Rotations, Spinors and Groups.- 5 Quantum Entanglement and Bell's Theorem.- 6 Digital and Quantum Computers.- Bibliography.

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詳細情報

  • NII書誌ID(NCID)
    BB24178132
  • ISBN
    • 9783319587318
  • LCCN
    2017940230
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    [Cham]
  • ページ数/冊数
    xvi, 271 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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