A Mathematical Introduction to Electronic Structure Theory

Learning solid state physics involves a certain degree of maturity, since it involves tying together diverse concepts from many areas of physics. The objective is to understand, in a basic way, how solid materials behave. To do this one needs both a good physical and mathematical background. One definition of solid state physics is that it is the study of the physical (e.g. the electrical, dielectric, magnetic, elastic, and thermal) properties of solids in terms of basic physical laws. In one sense, solid state physics is more like chemistry than some other branches of physics because it focuses on common properties of large classes of materials. It is typical that solid state physics emphasizes how physics properties link to electronic structure. We have retained the term solid state physics, even though condensed matter physics is more commonly used. Condensed matter physics includes liquids and non-crystalline solids such as glass, which we shall not discuss in detail. Modern solid state physics came of age in the late thirties and forties, and had its most extensive expansion with the development of the transistor, integrated circuits, and microelectronics. Most of microelectronics, however, is limited to the properties of inhomogeneously doped semiconductors. Solid state physics includes many other areas of course; among the largest of these are ferromagnetic materials, and superconductors. Just a little less than half of all working physicists are in condensed matter.

Authors: Fischetti, Massimo V., Vandenberghe, William G.
Comprehensive treatment of electronic structure of and transport in solids including nanostructures
Includes a historical perspective on the evolution of quantum theory and how it has shaped our knowledge of electrons in crystals
Rigorous mathematical development is supplemented by numerical and computational methodologies which convey a practical understanding of the challenges and successes of using quantum mechanics for real world applications
Exercises for students, based on homework problems assigned by the authors, and suggested reading will be included