Quantum Mechanics: An Introduction for Device Physicists and Electrical Engineers

Cover
Half Title
Title Page
Copyright Page
Table of contents
Preface to the first edition
Preface to the second edition
Preface to the third edition
Author
1 Waves and Particles
	1.1 Introduction
	1.2 Light as Particles—The Photoelectric Effect
	1.3 Electrons as Waves
	1.4 Reality and Causality
	1.5 Connection to the Classical World
		1.5.1 Position and Momentum
		1.5.2 Noncommuting Operators
		1.5.3 Another View
		1.5.4 Wave Packets
	1.6 Summary
	References
	Problems
2 The Schrödinger Equation
	2.1 Waves and the Differential Equation
		2.1.1 The Free Particle
		2.1.2 A Potential Step
			Case I. E < V0
			Case II. E > V0
	2.2 Density and Current
	2.3 The Potential Well
		2.3.1 The Infinite Potential Well
		2.3.2 The Finite Potential Well
			Case I. 0 < E < V0
			Case II. E > V0
	2.4 The Triangular Well
	2.5 Uncertainty
	2.6 Numerical Solutions of the Schrödinger Equation
	References
	Problems
3
 Tunneling
	3.1 The Tunnel Barrier
		3.1.1 The Simple Rectangular Barrier
		3.1.2 A More Complex Barrier
	3.2 The Double Barrier
		3.2.1 Simple, Equal Barriers
		3.2.2 The Unequal-Barrier Case
		3.2.3 Shape of the Resonance
	3.3 Approximation Methods—The WKB Method
		3.3.1 Bound States of a General Potential
		3.3.2 Tunneling
	3.4 Tunneling Devices
		3.4.1 The Landauer Formulation
		3.4.2 The Esaki Diode
		3.4.3 The Resonant Tunneling Diode
		3.4.4 Single-Electron Tunneling
		3.4.5 Josephson Tunneling
	References
	Problems
4 Periodic Potentials
	4.1 Atoms on a Lattice
	4.2 Another Approach
	4.3 Bonds and Bands
	4.4 Electron Pairing—Superconductivity
		4.4.1 Observable Properties
		4.4.2 Pairing and Gaps
	References
	Problems
5 The Harmonic Oscillator
	5.1 The Wave Functions
	5.2 The LC-Circuit
	5.3 An Atomic Lattice and Phonons
	5.4 Motion in a Quantizing Magnetic Field
		5.4.1 Connection with the Classical Orbit
		5.4.2 Adding Lateral Confinement
		5.4.3 The Quantum Hall Effect
	5.5 The Modern Standard Unit System
	References
	Problems
6 Operators and Bases
	6.1 Time Dependence of Operators
	6.2 Linear Vector Spaces
		6.2.1 Hermitian Operators
		6.2.2 Some Matrix Properties
		6.2.3 The Eigenvalue Problem
	6.3 Supersymmetry
	6.4 The Density Matrix
	6.5 The Wigner Function
	References
	Problems
7 Stationary Perturbation Theory
	7.1 The Perturbation Series
	7.2 Some Examples of Perturbation Theory
		7.2.1 The Stark Effect in a Potential Well
		7.2.2 The Shifted Harmonic Oscillator
		7.2.3 Multiple Quantum Wells
	7.3 An Alternative Approach—The Variational Method
	Problems
8 Time-Dependent Perturbation Theory
	8.1 The Perturbation Series
	8.2 The Interaction Representation
	8.3 Exponential Decay
	8.4 The Lippmann-Schwinger Equation
		8.4.1 The Scattering State T-Matrix
		8.4.2 Gaining the Lippmann-Schwinger Equation
		8.4.3 Orthogonality of the Scattering States
	References
	Problems
9 Motion in Centrally Symmetric Potentials
	9.1 The Two-Dimensional Harmonic Oscillator
		9.1.1 Rectangular Coordinates
		9.1.2 Polar Coordinates and Angular Momentum
		9.1.3 Splitting the Angular Momentum States with a Magnetic Field
	9.2 The Hydrogen Atom
		9.2.1 The Radial Equation
		9.2.2 Angular Solutions
		9.2.3 Angular Momentum Again
		9.2.4 Atomic Energy Levels
	9.3 The Covalent Bond in Semiconductors
	9.4 Hydrogenic Impurities in Semiconductors
	References
	Problems
10 Spin Angular Momentum
	10.1 Spin Angular Momentum
	10.2 Two-Level Systems
	10.3 Systems of Identical Particles
	10.4 Spin Effects in Semiconductors
		10.4.1 The Spin-Orbit Interaction
		10.4.2 Bulk Inversion Asymmetry
		10.4.3 Structural Inversion Asymmetry
	References
	Problems
11 An Introduction to Quantum Computing
	11.1 Qubits and Entanglement
		11.1.1 Bits and Qubits
		11.1.2 Entanglement
	11.2 The Jaynes-Cummings Model
	11.3 Quantum Dots for Qubits
		11.3.1 31P Donors
		11.3.2 Double Quantum Dots
		11.3.3 NV Centers
	11.4 Josephson Junctions
		11.4.1 The SQUID
		11.4.2 Charge Qubits
		11.4.3 Flux Qubits
		11.4.4 The Hybrid Charge-Flux Qubit
	11.5 Optical Qubits
	References
Solutions to Selected Problems
Index