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Fundamentals of Quantum Mechanics For Solid State Electronics and Optics

ISBN-10: 0521829526

ISBN-13: 9780521829526

Edition: 2005

Authors: C. L. Tang

List price: $117.00
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Description:

Quantum mechanics has evolved from a subject of study in pure physics to one with a wide range of applications in many diverse fields. The basic concepts of quantum mechanics are explained in this book in a concise and easy-to-read manner emphasising applications in solid state electronics and modern optics. Following a logical sequence, the book is focused on the key ideas and is conceptually and mathematically self-contained. The fundamental principles of quantum mechanics are illustrated by showing their application to systems such as the hydrogen atom, multi-electron ions and atoms, the formation of simple organic molecules and crystalline solids of practical importance. It leads on from these basic concepts to discuss some of the most important applications in modern semiconductor electronics and optics. Containing many homework problems and worked examples, the book is suitable for senior-level undergraduate and graduate level students in electrical engineering, materials science and applied physics.
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Book details

List price: $117.00
Copyright year: 2005
Publisher: Cambridge University Press
Publication date: 6/23/2005
Binding: Hardcover
Pages: 222
Size: 7.00" wide x 10.00" long x 0.75" tall
Weight: 1.342

Preface
Classical mechanics vs. quantum mechanics
Brief overview of classical mechanics
Overview of quantum mechanics
Basic postulates and mathematical tools
State functions (Postulate 1)
Operators (Postulate 2)
Equations of motion (Postulate 3)
Eigen functions, basis states, and representations
Alternative notations and formulations
Problems
Wave/particle duality and de Broglie waves
Free particles and de Broglie waves
Momentum representation and wave packets
Problems
Particles at boundaries, potential steps, barriers, and in quantum wells
Boundary conditions and probability currents
Particles at a potential step, up or down
Particles at a barrier and the quantum mechanical tunneling effect
Quantum wells and bound states
Three-dimensional potential box or quantum well
Problems
The harmonic oscillator and photons
The harmonic oscillator based on Heisenberg's formulation of quantum mechanics
The harmonic oscillator based on Schrodinger's formalism
Superposition state and wave packet oscillation
Photons
Problems
The hydrogen atom
The Hamiltonian of the hydrogen atom
Angular momentum of the hydrogen atom
Solution of the time-independent Schrodinger equation for the hydrogen atom
Structure of the hydrogen atom
Electron spin and the theory of generalized angular momentum
Spin-orbit interaction in the hydrogen atom
Problems
Multi-electron ions and the periodic table
Hamiltonian of the multi-electron ions and atoms
Solutions of the time-independent Schrodinger equation for multielectron ions and atoms
The periodic table
Problems
Interaction of atoms with electromagnetic radiation
Schrodinger's equation for electric dipole interaction of atoms with electromagnetic radiation
Time-dependent perturbation theory
Transition probabilities
Selection rules and the spectra of hydrogen atoms and hydrogen-like ions
The emission and absorption processes
Light Amplification by Stimulated Emission of Radiation (LASER) and the Einstein A- and B-coefficients
Problems
Simple molecular orbitals and crystalline structures
Time-independent perturbation theory
Covalent bonding of diatomic molecules
sp, sp[superscript 2], and sp[superscript 3] orbitals and examples of simple organic molecules
Diamond and zincblende structures and space lattices
Problems
Electronic properties of semiconductors and the p-n junction
Molecular orbital picture of the valence and conduction bands of semiconductors
Nearly-free-electron model of solids and the Bloch theorem
The k-space and the E vs. k diagram
Density-of-states and the Fermi energy for the free-electron gas model
Fermi-Dirac distribution function and the chemical potential
Effective mass of electrons and holes and group velocity in semiconductors
n-type and p-type extrinsic semiconductors
The p-n junction
Problems
The density matrix and the quantum mechanic Boltzmann equation
Definitions of the density operator and the density matrix
Physical interpretation and properties of the density matrix
The density matrix equation or the quantum mechanic Boltzmann equation
Examples of the solutions and applications of the density matrix equations
Problems
References