Mathematical Foundations Of Quantum Mechanics

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Mathematical Foundations of Quantum Mechanics

Author: John von Neumann
language: en
Publisher: Princeton University Press
Release Date: 1955
A revolutionary book that for the first time provided a rigorous mathematical framework for quantum mechanics. -- Google books
Mathematical Foundations of Quantum Theory

Mathematical Foundations of Quantum Theory is a collection of papers presented at the 1977 conference on the Mathematical Foundations of Quantum Theory, held in New Orleans. The contributors present their topics from a wide variety of backgrounds and specialization, but all shared a common interest in answering quantum issues. Organized into 20 chapters, this book's opening chapters establish a sound mathematical basis for quantum theory and a mode of observation in the double slit experiment. This book then describes the Lorentz particle system and other mathematical structures with which fun ...
Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems

Author: Masanori Ohya
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-01-15
This monograph provides a mathematical foundation to the theory of quantum information and computation, with applications to various open systems including nano and bio systems. It includes introductory material on algorithm, functional analysis, probability theory, information theory, quantum mechanics and quantum field theory. Apart from standard material on quantum information like quantum algorithm and teleportation, the authors discuss findings on the theory of entropy in C*-dynamical systems, space-time dependence of quantum entangled states, entangling operators, adaptive dynamics, relativistic quantum information, and a new paradigm for quantum computation beyond the usual quantum Turing machine. Also, some important applications of information theory to genetics and life sciences, as well as recent experimental and theoretical discoveries in quantum photosynthesis are described.