Topics and Methods in Condensed Matter Theory

Professor Michele Cini is a full professor of solid state theory at the Department of Physics , University of Roma Tor Vergata. Born in Pisa (Italy) in 1946, he graduated there in 1969. He is the author of about 100 theoretical research papers dealing with electron spectroscopies, nonlinear optics, recursion methods, electronic transport, antiferromagnetism and superconductivity.

• I-Introductory Many-Body Physics.- Basic Many-Body Quantum Mechanics.- Adiabatic Switching and Time-Ordered series.- Atomic Shells and Multiplets.- Green’s Functions as Thought Experiments.- Hopping Electron Models: an Appetizer.- Many-body Effects in Electron Spectroscopies.- Symmetry in Quantum Physics.- Group Representations for Physicists.- Simpler Uses of Group Theory.- Product of Representations and Further Physical Applications.- More on Green Function Techniques.- Equations of Motion and Further Developments.- Feynman Diagrams for Condensed Matter Physics.- Many-Body Effects and Further Theory.- Non-Equilibrium Theory.- Non-Perturbative Approaches and Applications.- Some Recursion Techniques with Applications.- Aspects of Nonlinear Optics and Many-Photon Effects.- Selected Exact Results in Many-Body Problems.- Quantum Phases.- Pairing from repulsive interactions.- Algebraic Methods.- Appendices.- Appendix 1: Zero-point Energy in a Pillbox.- Appendix II-Character Tables.- Proof of the Wigner-Eckart Theorem.

From the reviews:"Cini has prepared an advanced book in a specialized area of quantum physics … . The author has divided the book into five broad topics: many-body physics, symmetry in quantum physics, Green’s function techniques, nonperturbative applications, and exact results in many-body problems. … There are problems at the end of each chapter with solutions. … There are some diagrams to explicate the text and a good index. … Graduate students through professionals." (N. Sadanand, CHOICE, Vol. 45 (7), 2008)"This text is aimed at students specialising in condensed matter theory and is structured as an introductory course to the topic. … this text discusses some exact results that can be obtained pertaining to quantum phases and repulsive interactions. Ultimately this book provides an interesting introduction to an area of active research." (M. Foreman, Contemporary Physics, Vol. 50 (2), March-April, 2009)"This book treats various theoretical topics in condensed matter physics … . This book is aimed mainly at condensed matter physicists who are working in the area of atomic and solid state physics, and who are looking for some systematic methods and numerical algorithms. It can also be of interest for undergraduate students … in quantum physics, operational computation and algebra." (Jean-Yves Fortin, Mathematical Reviews, Issue 2009 c)"The present book is devoted to condensed matter physics, which includes theoretical background of the theory and their use in applications, i.e. in experiments. … the book is well written, readable and the mathematical treatments are explained in enough detail. Proofs of all the relevant theorems are given. There are a lot of illustrative examples, and relevant problems. … the book provides material for courses in theoretical physics, and it is recommended for undergraduate and graduate students specializing in condensed matter physics." (Farruh Mukhamedov,Zentralblatt MATH, Vol. 1146, 2008)