Key Features
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 informationtechnology.
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.
Description
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 informationtechnology. 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.
Readership
Primary Market: For teaching and research faculty, upperundergraduate and graduate students majoring in Physics, Chemistry, Chemical Engineering, Material Engineering, Electrical Engineering.
Quantum Mechanics with Applications to Nanotechnology and Information Science, 1st Edition
Preface
Acknowledgments
1. Introduction to Quantum Mechanics
1.1 What is Quantum Mechanics?
1.2 Nanotechnology and Information Technology
1.3 A First Taste of Quantum Mechanics
2. The Formalism of Quantum Mechanics
2.1 Hilbert Space and Dirac Notation
2.2 Hermitian and AntiHermitian Operators
2.3 The Uncertainty Principle
2.4 The Measurement Problem
2.5 Mixed States: Density Matrix Formulation
2.6 The Wigner Representation
2.7 Schrödinger and Heisenberg Representations
2.8 The Correspondence Principle and the Classical Limit
2.9 Symmetry and Conservation Laws in Quantum Mechanics
3. Angular Momentum and Spherical Symmetry
3.1 Angular Momentum in Quantum Mechanics
3.2 Spherically Symmetric Systems
3.3 Rotations and Angular Momentum
3.4 Addition (Coupling) of Angular Momenta
3.5 Tensor Operators
3.6 Symmetry Considerations
4. Spin
4.1 Spin Angular Momentum
4.2 Spinors
4.3 Electron in a Magnetic Field
4.4 TimeReversal Properties of Spinors
4.5 Spin–Orbit Interaction in Atoms
4.6 Hyperfine Interaction
4.7 SpinDipolar Interactions
4.8 Introduction to Magnetic Resonance
5. Quantum Information
5.1 Classical Computation and Classical Information
5.2 Quantum Information
5.3 Quantum Computing Algorithms
5.4 Decoherence
5.5 Quantum Error Correction
5.6 Experimental Implementations
5.7 The EPR Paradox
5.8 Bell’s Inequalities
6. Quantum Dynamics and Correlations
6.1 TwoLevel Systems
6.2 ThreeLevel Systems
6.3 Classification of Correlation and Entanglement
6.4 ThreeLevel System Dynamics
6.5 ContinuousVariable Systems
6.6 Wave Packet Dynamics
6.7 TimeDependent Hamiltonians
6.8 Quantum Optimal Control Theory
7. Approximation Methods
7.1 BasisState Expansions
7.2 Semiclassical Approximations
7.3 Perturbation Theory
7.4 Dynamics in an Electromagnetic Field
7.5 Exponential and Nonexponential Decay
7.6 The Variational Method
7.7 The Sudden Approximation
7.8 The Adiabatic Approximation
7.9 Linear Response Theory
8. Identical Particles
8.1 Permutation Symmetry
8.2 Exchange Symmetry
8.3 Permanents and Slater Determinants
8.4 Simple Two and ThreeElectron States
8.5 Exchange Symmetry for Two TwoLevel Systems
8.6 ManyParticle Exchange Symmetry
9. Electronic Properties of Solids
9.1 The Free Electron Gas
9.2 Elementary Theories of Conductivity
9.3 Crystal Structure
9.4 Electrons in a Periodic Potential
9.5 Magnetic Field Effects
9.6 Semiconductors
9.7 Spintronics
9.8 LowEnergy Excitations
9.9 Insulators
10. Electronic Structure of Multielectron Systems
10.1 The Multielectron System Hamiltonian
10.2 Slater and Gaussian Type Atomic Orbitals
10.3 Term Symbols for Atoms
10.4 TwoElectron Systems
10.5 Hartree Approximation for Multielectron Systems
10.6 The Hartree–Fock Method
10.7 Koopmans’ Theorem
10.8 Atomic Radii
10.9 Multielectron Fine Structure: Hund’s Rules
10.10 Electronic Structure of Molecules
10.11 Hartree–Fock for Metals
10.12 Electron Correlation
11. Molecules
11.1 Molecular Symmetries
11.2 Diatomic Electronic States
11.3 The BornOppenheimer Approximation
11.4 Rotational and Vibrational Structure
11.5 Vibrational Modes and Symmetry
11.6 Selection Rules for Optical Transitions
11.7 The Franck–Condon Principle
12. Scattering Theory
12.1 Classical Scattering Theory
12.2 Quantum Scattering
12.3 Stationary Scattering Theory
12.4 Aspects of Formal Scattering Theory
12.5 Central Potentials
12.6 Resonance Scattering
12.7 Approximation Methods
12.8 Particles with Internal Degrees of Freedom
12.9 Scattering in LowDimensional Systems
13. LowDimensional Quantum Systems
13.1 Mesoscopic Systems
13.2 The Landauer Conductance Formula
13.3 Properties of Quantum Dots
13.4 Disorder in Mesoscopic Systems
13.5 Kondo Effect in Quantum Dots
13.6 Graphene
13.7 Inventory of Recently Discovered LowDimensional Phenomena
14. ManyBody Theory
14.1 Second Quantization
14.2 Statistical Mechanics in Second Quantization
14.3 The Electron Gas
14.4 MeanField Theory
15. Density Functional Theory
15.1 The Hohenberg–Kohn Theorems
15.2 The Thomas–Fermi Approximation
15.3 The Kohn–Sham Equations
15.4 Spin DFT and Magnetic Systems
15.5 The Gap Problem in DFT
15.6 TimeDependent DFT
15.7 DFT Computer Packages
A. Linear Algebra
A.1 Vector Spaces
A.2 Operators and Matrices
B. Some Ordinary Differential Equations
C. Vector Analysis
C.1 Scalar and Vector Products
C.2 Differential Operators
C.3 Divergence and Stokes Theorems
C.4 Curvilinear Coordinates
D. Fourier Analysis
D.1 Fourier Series
D.2 Fourier Integrals
D.3 Fourier Series and Integrals in ThreeSpace Dimensions
D.4 Fourier Integrals of TimeDependent Functions
D.5 Convolution
D.6 Fourier Expansion of Operators
D.7 Fourier Transforms
D.8 FT for Solving Differential and Integral Equations
E. Symmetry and Group Theory
E.1 Group Theory Axioms
E.2 Group Multiplication Tables
E.3 Examples of Groups
E.4 Some Properties of Groups
E.5 Group Representations
Bibliography
Index