TY - BOOK AU - Fano,Guido AU - Blinder,S M. ED - SpringerLink (Online service) TI - Twenty-First Century Quantum Mechanics: Hilbert Space to Quantum Computers: Mathematical Methods and Conceptual Foundations T2 - UNITEXT for Physics, SN - 9783319587325 AV - QC173.96-174.52 U1 - 530.12 23 PY - 2017/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Quantum physics KW - Quantum computers KW - Physics KW - Mathematical physics KW - Quantum Physics KW - Quantum Computing KW - Mathematical Methods in Physics KW - Mathematical Applications in the Physical Sciences KW - History and Philosophical Foundations of Physics N1 - 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; Available to subscribing member institutions only. Доступно лише організаціям членам підписки N2 - 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 UR - https://doi.org/10.1007/978-3-319-58732-5 ER -