Quantum Mechanics With Applications to Nanotechnology and Information Science

by Band, Yehuda B.; Avishai, Yshai

• ISBN13: 9780444537867
• ISBN10: 0444537864
• Format: Hardcover
• Copyright: 2012-12-13
• Publisher: Academic Pr

Summary

Quantum mechanics transcends and supplants classical mechanics at the atomic and subatomic levels. It provides the underlying framework for many subfields of physics, chemistry and materials science, including condensed matter physics, atomic physics, molecular physics, quantum chemistry, particle physics, and nuclear physics. It is the only way we can understand the structure of materials, from the semiconductors in our computers to the metal in our automobiles. It is also the scaffolding supporting much of nanoscience and nanotechnology. The purpose of this book is to present the fundamentals of quantum theory within a modern perspective, with emphasis on applications to nanoscience and nanotechnology, and information-technology. As the frontiers of science have advanced, the sort of curriculum adequate for students in the sciences and engineering twenty years ago is no longer satisfactory today. Hence, the emphasis on new topics that are not included in older reference texts, such as quantum information theory, decoherence and dissipation, and on applications to nanotechnology, including quantum dots, wires and wells. Key Features This book provides a novel approach to Quantum Mechanics whilst also giving readers the requisite background and training for the scientists and engineers of the 21st Century who need to come to grips with quantum phenomena. The fundamentals of quantum theory are provided within a modern perspective, with emphasis on applications to nanoscience and nanotechnology, and information-technology. Benefits Older books on quantum mechanics do not contain the amalgam of ideas, concepts and tools necessary to prepare engineers and scientists to deal with the new facets of quantum mechanics and their application to quantum information science and nanotechnology. As the frontiers of science have advanced, the sort of curriculum adequate for students in the sciences and engineering twenty years ago is no longer satisfactory today. There are many excellent quantum mechanics books available, but none have the emphasis on nanotechnology and quantum information science that this book has.

Table of Contents

Introduction to Nanotechnology and Information-Technology

The Formalism of Quantum Mechanics

Angular Momentum and Spin

Quantum Information

Quantum Dynamics and Correlations

Approximation Methods 371

Identical Particles

Electronic Properties of Solids

Electronic Structure of Multi-Electron Systems

Molecules

Scattering Theory

Many-Body Theory

Density Functional Theory

Quantum Dots and Other Low-Dimensional Systems

Decoherence and Dissipation

Linear Algebra

Probability Theory

Some Simple Ordinary Differential Equations

Vector Analysis

Fourier Analysis

Symmetry and Group Theory

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