1.

Record Nr.

UNINA9910254578203321

Autore

Fano Guido

Titolo

Twenty-First Century Quantum Mechanics: Hilbert Space to Quantum Computers : Mathematical Methods and Conceptual Foundations / / by Guido Fano, S M Blinder

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017

ISBN

3-319-58732-3

Edizione

[1st ed. 2017.]

Descrizione fisica

1 online resource (XVI, 271 p. 142 illus., 12 illus. in color.)

Collana

UNITEXT for Physics, , 2198-7882

Disciplina

530.12

Soggetti

Quantum theory

Quantum computers

Physics

Mathematical physics

Quantum Physics

Quantum Computing

Mathematical Methods in Physics

Mathematical Applications in the Physical Sciences

History and Philosophical Foundations of Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.