Parker M.A. Solid state and quantum theory for optoelectronics

CRC Press, Taylor & Francis Group, Boca Raton, FL, 2010, 828 pages, ISBN: 978-0-8493-3750-5Optoelectronics and photonics implement and apply various forms of the ‘‘matter–light’’ interaction.
This book primarily introduces the solid-state and quantum theory for ‘‘matter’’ but postpones
a discussion of ‘‘light’’ and its interaction with matter to the companion volume Physics of
Optoelectronics. The present book covers in some detail many of the transitional topics from the
intermediate=elementary to advanced levels. Chapter 1 structures the general conceptual framework for the book regarding bonding, bands and devices. However, the concepts of some topical areas will be accessible to the reader only after digesting later chapters. Chapters 2 and 3 cover the mathematics of Hilbert spaces with the philosophy of providing conceptual pictures and an operational basis for computation without overburdening the reader with the ‘‘definition–
theorem–proof’’ format often expected in mathematics texts. These mathematical foundations
focus on the abstract form of the linear algebra for vectors and operators, and supply the ‘‘pictures’’ that are often lacking in studies of the quantum theory that would otherwise make the subject more intuitive. A picture does not always accurately represent the mathematics of a concept but does help in conveying the meaning or ‘‘way of thinking’’ about the concept.This book provides several lead-ins to the quantum theory including a brief review of Lagrange
and Hamilton’s approach to classical mechanics, a discussion of the link with Hilbert space, and an
introduction to the Feynman path integral. Chapter 4 summarizes the Hamiltonian and Lagrangian formalism necessary for the proper development of the quantum theory. However, Chapter 5 provides the more fundamental connection between the Hilbert space and quantum theory as well as demonstrating the Schrödinger wave equation from the Feynman path integer. Chapter 5 discusses standard topics such as the quantum well, harmonic oscillator, representations, perturbation theory, and spin and expands into the density operator and applications to quantum computing and teleportation. Chapter 6 provides an introduction to the solid state with an emphasis on the crystalline form of matter and its implications for phonon and electronic properties required for a follow-on course in optoelectronics. Chapter 7 introduces effective mass (scalar and tensor), three different band theories (Kronig-Penney, Tight Binding, and k-p), and density of states for bulk and reduced dimensional structures. Chapter 8 provides the concepts for ensembles and microstates in detail with an emphasis on the derivation of particle population distributions across energy levels. These derivations start with entropy and incorporate indistinguishability and spin (Boson, Fermion) properties while providing clear pictures to illustrate the development.Introduction to the Solid State
Vector and Hilbert Spaces
Operators and Hilbert Space
Fundamentals of Classical Mechanics
Quantum MechanicsSolid-State: Structure and Phonons
Solid-State: Conduction, States, and Bands
Statistical Mechanics