UNITEXT for Physics

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

Mathematical Methods and Conceptual Foundations

Autoren: Fano, Guido, Blinder, S M

Vorschau
  • 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
Weitere Vorteile

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eBook 48,14 €
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  • ISBN 978-3-319-58732-5
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Über dieses Lehrbuch

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.

Über die Autor*innen

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).

Stimmen zum Buch

“I agree with the authors that this is the excellent introductory book for non-specialists to quantum theory, though I would recommend it to all curious researchers whose perception of the world that surrounds us raises the questions of what, why and how is out there?” (Eugene Kryachko, zbMATH 1377.81005, 2018)

Inhaltsverzeichnis (6 Kapitel)

Inhaltsverzeichnis (6 Kapitel)
  • Twentieth-Century Quantum Mechanics

    Seiten 1-41

    Fano, Guido (et al.)

  • Mathematical Methods in Quantum Mechanics

    Seiten 43-84

    Fano, Guido (et al.)

  • The Schrödinger Equation

    Seiten 85-120

    Fano, Guido (et al.)

  • New Adventures: Isotropic Vectors, Rotations, Spinors, and Groups

    Seiten 121-151

    Fano, Guido (et al.)

  • Quantum Entanglement and Bell’s Theorem

    Seiten 153-193

    Fano, Guido (et al.)

Dieses Buch kaufen

eBook 48,14 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-319-58732-5
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • Sofortiger eBook Download nach Kauf und auf allen Endgeräten nutzbar
  • Mengenrabatt verfügbar
Hardcover 60,98 €
Preis für Deutschland (Brutto)
Softcover 60,98 €
Preis für Deutschland (Brutto)
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Bibliografische Information

Bibliographic Information
Buchtitel
Twenty-First Century Quantum Mechanics: Hilbert Space to Quantum Computers
Buchuntertitel
Mathematical Methods and Conceptual Foundations
Autoren
Titel der Buchreihe
UNITEXT for Physics
Copyright
2017
Verlag
Springer International Publishing
Copyright Inhaber
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
Softcover ISBN
978-3-319-86464-8
Buchreihen ISSN
2198-7882
Auflage
1
Seitenzahl
XVI, 271
Anzahl der Bilder
130 schwarz-weiß Abbildungen, 12 Abbildungen in Farbe
Themen