QUANTUM MECHANICS
A Modern Development
by Leslie E Ballentine (Simon Fraser University)
Preface (48k)
Introduction: The Phenomena of Quantum Mechanics (192k)
Table of Contents (55k)
Chapter 1: Mathematical Prerequisites
Chapter 1.1: Linear Vector Space (132k)
Chapter 1.2: Linear Operators (139k)
Chapter 1.3: Self-Adjoint Operators (189k)
Chapter 1.4: Hilbert Space and Rigged Hilbert Space (149k)
Chapter 1.5: Probability Theory (181k)
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.
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 could be used by senior undergraduates too.
Contents:
- Mathematical Prerequisites
- The Formulation of Quantum
Mechanics
- Kinematics and Dynamics
- Coordinate Representation and Applications
- Momemtum 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
Readership: Students, teachers and researchers in quantum mechanics.
"... the book is of greatest benefit to students of quantum mechanics who want to learn more than solely computational recipes and predictive tools of the theory, and, in this sense, the book really fills a gap in the literature."
| Mathematical Reviews, 1999 |
| 672pp |
Pub. date: Mar 1998 |