Quantum mechanics with applications to nanotechnology and information science / Yehuda B. Band and Yshai Avishai.

Format:

Book

Author/Creator:

Band, Yehuda B.

Avishai, Yshai, author.

Series:

Gale eBooks

Language:

English

Subjects (All):

Quantum theory.

Nanotechnology.

Information science.

Solids--Electric properties.

Solids.

Scattering (Mathematics).

Physical Description:

1 online resource (xx, 971 pages) : illustrations (some color)

Edition:

1st ed.

Place of Publication:

Oxford : Academic Press, 2013.

Language Note:

English

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 fundamen

Contents:

Front Cover; Quantum Mechanics: with Applications to Nanotechnology and Information Science; Copyright; Table of Contents; Preface; Acknowledgments; 1 Introduction to Quantum Mechanics; 1.1 What is Quantum Mechanics?; 1.1.1 A Brief Early History of Quantum Mechanics; 1.1.2 Energy Quantization; 1.1.3 Waves, Light, and Blackbody Radiation; 1.1.4 Wave-Particle Duality; 1.1.5 Angular Momentum Quantization; 1.1.6 Tunneling; 1.1.7 Photoelectric Effect; 1.2 Nanotechnology and Information Technology; 1.2.1 STM and AFM Microscopies; 1.2.2 Molecular Electronics

1.2.3 Quantum Dots, Wires and Wells, and Nanotubes1.2.4 Bio-Nanotechnology; 1.2.5 Information Technology; 1.3 A First Taste of Quantum Mechanics; 1.3.1 Quantum States and Probability Distributions; 1.3.2 Observable Operators; 1.3.3 Quantum Entanglement; 1.3.4 The Postulates of Quantum Mechanics; Postulates; Wave function form of the postulates; 1.3.5 Time-Dependent and -Independent Schrödinger Equations; 1.3.6 Momentum, Energy, and Angular Momentum; Generators of Galilean Transformations; Plane Waves; Generators of Galilean Transformations Continued; 1.3.7 Dirac Delta Functions

1.3.8 Position and Momentum States, |x> and |p>1.3.9 Ehrenfest's Theorem; 1.3.10 One-Dimensional Wave Equations; 1.3.11 Particle-in-a-Box and Piecewise-Constant Potentials; Bound States in a Potential Well; 2D and 3D Wells; Tunneling Through a Double Barrier: Resonances; Metal-Vacuum and Semiconductor-Vacuum Interfaces; 1.3.12 The Delta Function Potential; 1.3.13 Wave Packets; 1.3.14 The Linear Potential and Quantum Tunneling; 1.3.15 The Harmonic Oscillator; 2 The Formalism of Quantum Mechanics; 2.1 Hilbert Space and Dirac Notation; 2.1.1 Position and Momentum Representations

2.1.2 Basis-State Expansions 2.2 Hermitian and Anti-Hermitian Operators; 2.2.1 Compatible Operators and Degeneracy; 2.3 The Uncertainty Principle; 2.4 The Measurement Problem; 2.5 Mixed States: Density Matrix Formulation; 2.5.1 Many-Particle Systems: Correlation Functions; 2.5.2 Purity and von Neumann Entropy; 2.5.3 Distance Between States; 2.5.4 The Measurement Problem Revisited; 2.6 The Wigner Representation; 2.7 Schrödinger and Heisenberg Representations; 2.7.1 Interaction Representation; 2.7.2 Harmonic Oscillator Raising-Lowering Operators; 2.7.3 Coherent States and Squeezed States

Squeezed States and the Uncertainty Principle 2.8 The Correspondence Principle and the Classical Limit; 2.9 Symmetry and Conservation Laws in Quantum Mechanics; 2.9.1 Exchange Symmetry; 2.9.2 Inversion Symmetry; 2.9.3 Time-Reversal Symmetry; 2.9.4 Additional Generators of Galilean Transformations; 3 Angular Momentum and Spherical Symmetry; 3.1 Angular Momentum in Quantum Mechanics; 3.1.1 Angular Momentum Raising and Lowering Operators; 3.1.2 Electron Spin: j = 1/2; 3.1.3 Angular Momentum in Spherical Coordinates; 3.1.4 Spherical Harmonics; 3.2 Spherically Symmetric Systems

3.2.1 Angular Momentum Decomposition of Plane Waves

Notes:

Description based upon print version of record

Includes bibliographical references and index.

ISBN:

1-283-89178-6

0-444-53787-2

OCLC:

847591156