Basic course on theoretical physics 5/2. Quantum mechanics -- methods and applications (Q5891560)

This textbook covers important topics in basic methods used in quantum mechanics and their applications. Students and instructors alike will find this well organized and detailed approach ideal for a graduate course on the subject. I personally consider it an ideal textbook for students to learn advanced topics in quantum mechanics. Moreover, the self-contained nature of the presentation will render this book useful to a wide range of readers. The fundamentals of the theory are presented in volume 5/1 in which Nolting succeeded in providing an exposition which is extremely friendly to students. The 7th updated edition of volume 5/2 contains many improvements compared with certain shortcomings of previous editions (see the review of the 4th edition (2002) in Zbl 1007.81001 and ME 2012d.00567). The present book is divided into five parts. Part 1 presents a study of the quantum theory of the angular momentum, defines Clebsch-Gordon coefficients, spin, and introduces the Dirac equation. Part 2 deals with potentials, especially with the Coulomb potential and its role in the spectral analysis of the hydrogen atom. Part 3 introduces the variational principle, perturbation theory, and WKB method. Part 4 presents the main theoretical framework for many-particle systems, the Pauli principle, methods of second quantization and their use in atomic physics. Part 5 is devoted to various issues and formulations existing in the vast literature on scattering theory, in particular with regard to the S-matrix. At the end of each part one finds many exercises as well as a list of questions to be answered by the students at the end their course.