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May 10 , 2009

Quantum Mechanics

A Modern Development
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Overview

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.

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Quantum Mechanics and Quantum Information

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-Schrödinger relation, incompatibility between…

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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