Topics and methods in condensed matter theory

This book provides course material in theoretical physics intended for undergraduate and graduate students specializing in condensed matter, including experimentalists who want a good theoretical background. The book arose naturally from teaching activity, offering readable and mathematical treatments explained in sufficient detail to be followed easily. Proofs of all the relevant theorems are provided, but the main emphasis is always on the physical meaning and applicability of the results. Many examples are provided for illustration; these also serve as worked problems. Other related topics discussed in the book are atomic physics, relativistic quantum mechanics, elementary QED, electron spectroscopy, nonlinear optics, and various aspects of the many-body problem. Methods such as group representation theory, Green’s functions, the Keldysh formalism and recursion techniques were also imparted. As prerequisite, a good first course in quantum mechanics is assumed.