Quantum Mechanics and Quantum Information A Guide through the Quantum World

Alongside a thorough definition of basic concepts and their interrelations, backed by numerous examples, this textbook features a rare discussion of quantum mechanics and information theory combined in one text. It deals with important topics hardly found in regular textbooks, including the Robertson-Schrodinger relation, incompatibility between angle and angular momentum, "dispersed indeterminacy", interaction-free measurements, "submissive quantum mechanics", and many others. With its in-depth discussion of key concepts complete with problems and exercises, this book is poised to become the standard textbook for advanced undergraduate and beginning graduate quantum mechanics courses and an essential reference for physics students and physics professionals.

Moses Fayngold is Special Lecturer at the Physics Department of the New Jersey Institute of Technology, where he is also involved in the research activities of the Multi-Disciplinary Optical Science and Engineering Program. He has been lecturing for some 20 years on special relativity, both to non-specialized audiences in public planetariums as well as to undergraduate and graduate students.

Vadim Fayngold holds two bachelor degrees - one in Physics and one in Computer Science. While being a research assistant at the Department of Computer Engineering (Polytechnic University, New York), he worked on computer simulation of complex processes in fluid dynamics. He won a scholarship in the REU (Research Experience for Undergraduates) program sponsored by the NSF National Science Foundation,) and had worked in the area of Plasma Physics at the University of California (Irvine). He acquired an extensive experience in computer simulation while participating in the MECO (Muon-Electron Conversion) project. Vadim Fayngold came to the idea of writing this book while working on computer animations of various relativistic and quantum-mechanical phenomena.

PART I: Quantum Mechanics
1. The subject of quantum mechanics
2. A closer look at basic concepts
3. The big picture: Operators, representations, and Hilbert space
4. Some mathematical tools
5. Angular momentum
6. Evolution of quantum systems
7. Quantum mechanics and measurements
8. Applications to simple quantum mechanics systems
9. Hydrogen atom
10. Quantum systems in magnetic fields
11. Further applications; basics of perturbation theory
12. General theory of scattering
13. Feynman's approach
14. Semi-classical approximation
15. 'Submissive' quantum mechanics
16. Quantum-mechanical systems of more than one particles
17. Quantum statistics
18. 'Superluminal'aspects of quantum mechanics: Quantum non-locality
19. Philosophical aspects

PART II: Quantum Information
20. Concept of information
21. Quantum information processing
22. Randomness
23. Quantum computation