UNITEXT for Physics

Twenty-First Century Quantum Mechanics: Hilbert Space to Quantum Computers

Mathematical Methods and Conceptual Foundations

Authors: Fano, Guido, Blinder, S M

  • Explains the still evolving concepts of quantum mechanics in terms accessible to nonspecialists
  • Discusses the conceptual problems associated with measurement, superposition, and decoherence in quantum systems
  • Examines in detail the progress toward quantum computers
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eBook $54.99
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  • ISBN 978-3-319-58732-5
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  • Immediate eBook download after purchase
Hardcover $69.99
price for USA
  • ISBN 978-3-319-58731-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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 Schrödinger 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.

About the authors

Guido Fano graduated magna cum laude in Physics at the University of Rome in 1955 and earned university degrees in Theoretical Physics and Mathematical Methods of Physics. He taught at several universities, including Naples, Ferrara, Bologna, and Marseille, and progressed from being an assistant lecturer to senior lecturer and, finally, Professor of Mathematical Methods of Physics. Professor Fano is a specialist in the quantum many-body problem, with particular emphasis on the mathematical aspects. He is the author of about 60 publications in international journals as well as several textbooks. He is responsible for some particularly significant results concerning the existence problem for the time-dependent Hartree-Fock equations, the use of non-orthogonal orbitals in Quantum Chemistry, and the asymptotic behavior of the Taylor expansion coefficients of some sequences of polynomials.

  Seymour M. Blinder is Professor Emeritus of Chemistry and Physics at the University of Michigan, Ann Arbor, USA. He completed his PhD at Harvard University in 1958, under the supervision of Profs. W.E. Moffitt and J.H. Van Vleck (Nobel Prize in Physics, 1977). Professor Blinder has published more than 200 publications in both Theoretical Chemistry and Mathematical Physics. He was the first to derive a closed-form expression for the Feynman path-integral propagator for the Coulomb problem (the hydrogen atom). He is the author of several books and monographs. Professor Blinder is currently a telecommuting Senior Scientist for Wolfram Research (the developers of Mathematica and other scientific software).

Table of contents (1 chapters)

  • Twentieth-Century Quantum Mechanics

    Guido Fano, S. M. Blinder

    Pages

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-319-58732-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for USA
  • ISBN 978-3-319-58731-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Twenty-First Century Quantum Mechanics: Hilbert Space to Quantum Computers
Book Subtitle
Mathematical Methods and Conceptual Foundations
Authors
Series Title
UNITEXT for Physics
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-58732-5
DOI
10.1007/978-3-319-58732-5
Hardcover ISBN
978-3-319-58731-8
Series ISSN
2198-7882
Edition Number
1
Number of Pages
XVI, 271
Number of Illustrations and Tables
130 b/w illustrations, 12 illustrations in colour
Topics