This is the third volume of the series entitled "Physics at the Turn of the Millennium." This book contains two chapters. The first chapter is devoted to the theoretical and experimental fundamentals of a new scientific direction that has formed at the boundary of several disciplines --- the field of... (Información más detallada)

The present book contains one hundred and sixty problems, most of them simple, in nonrelativistic quantum mechanics. Some of these problems were used previously by the authors in their courses at the Moscow Institute of Engineering and Physics. However, the majority were drawn up or selected in the course... (Información más detallada)

The book contains all the theoretical and experimental problems of the last six International Mendeleev Chemistry Olympiads 2001-2006. It is a result of a great work of a large group of scientists from different countries, whose biography data are also presented in the book. The reader has a possibility... (Información más detallada)

Preface

CHAPTER 1. Foundations

1.1. Manifolds

1.2. Definition of a Dynamical System

1.3. Elements of Topological Dynamics

1.4. Linear maps

1.5. Grobman-Hartman Theorem

1.6. Hyperbolic Sets

1.7. Basic Theorems for Hyperbolic Sets

1.8. Nontrivial attractors and repellers

1.9. Expansiveness,mixing,... (Información más detallada)

The book offers a self-contained description of the theory of finite and continuous groups, and their representations, applied to problems from various areas of quantum mechanics, such as the theory of atoms, quantum chemistry, the theory of solids, and relativistic quantum mechanics.

Special attention... (Información más detallada)