
- 740 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
About this book
Although there are many textbooks that deal with the formal apparatus of quantum mechanics (QM) and its application to standard problems, none take into account the developments in the foundations of the subject which have taken place in the last few decades. There are specialized treatises on various aspects of the foundations of QM, but none that integrate those topics with the standard material. This book aims to remove that unfortunate dichotomy, which has divorced the practical aspects of the subject from the interpretation and broader implications of the theory.
In this edition a new chapter on quantum information is added. As the topic is still in a state of rapid development, a comprehensive treatment is not feasible. The emphasis is on the fundamental principles and some key applications, including quantum cryptography, teleportation of states, and quantum computing. The impact of quantum information theory on the foundations of quantum mechanics is discussed. In addition, there are minor revisions to several chapters.
The book is intended primarily as a graduate level textbook, but it will also be of interest to physicists and philosophers who study the foundations of QM. Parts of it can be used by senior undergraduates too.
Contents:
- Mathematical Prerequisites
- The Formulation of Quantum Mechanics
- Kinematics and Dynamics
- Coordinate Representation and Applications
- Momentum Representation and Applications
- The Harmonic Oscillator
- Angular Momentum
- State Preparation and Determination
- Measurement and the Interpretation of States
- Formation of Bound States
- Charged Particle in a Magnetic Field
- Time-Dependent Phenomena
- Discrete Symmetries
- The Classical Limit
- Quantum Mechanics in Phase Space
- Scattering
- Identical Particles
- Many-Fermion Systems
- Quantum Mechanics of the Electromagnetic Field
- Bell's Theorem and Its Consequences
- Quantum Information
Readership: Students, lecturers and researchers in quantum mechanics.
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Information
Table of contents
- Cover page
- Title Page
- Copyright
- Contents
- Preface
- Introduction
- Chapter 1 Mathematical Prerequisites
- Chapter 2 The Formulation of Quantum Mechanics
- Chapter 3 Kinematics and Dynamics
- Chapter 4 Coordinate Representation and Applications
- Chapter 5 Momentum Representation and Applications
- Chapter 6 The Harmonic Oscillator
- Chapter 7 Angular Momemtum
- Chapter 8 State Preparation and Determination
- Chapter 9 Measurement and the Interpretation of States
- Chapter 10 Formation of Bound States
- Chapter 11 Charged Particle in a Magnetic Field
- Chapter 12 Time-Dependent Phenomena
- Chapter 13 Discrete Symmetries
- Chapter 14 The Classical Limit
- Chapter 15 Quantum Mechanics in Phase Space
- Chapter 16 Scattering
- Chapter 17 Identical Particles
- Chapter 18 Many-Fermion Systems
- Chapter 19 Quantum Mechanics of the Electromagnetic Field
- Chapter 20 Bell’s Theorem and Its Consequences
- Chapter 21 Quantum Information
- Appendix A Schur’s Lemma
- Appendix B Irreducibility of Q and P
- Appendix C Proof of Wick’s Theorem
- Appendix D Solutions to Selected Problems
- Bibliography
- Index