Quantum mechanics
著者
書誌事項
Quantum mechanics
Taylor & Francis, c2008
5th ed
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
For more than 25 years, Alastair Rae's Quantum Mechanics has been one of the most highly regarded textbooks in this area. From elementary atomic physics and mathematics, to angular momentum and time dependence, to relativity and quantum computing, the text shows how cutting-edge research topics of quantum mechanics have been applied to various disciplines.
Retaining the clarity of its predecessors, this fifth edition presents revised and updated material throughout the text. It offers a clear exposition of fundamental ideas, additional worked examples of the application of quantum mechanics principles to a range of physical problems, and more information on modern quantum information technology. This text was one of the first to include a substantial discussion of the conceptual and philosophical implications of quantum mechanics, which has been revised and extended in the fifth edition. Other topics covered include one- and three-dimensional Schroedinger equations, angular momentum, time-independent perturbation theory, time dependence, scattering, and relativity.
Cementing its reputation as an exceptional introductory textbook, Quantum Mechanics, Fifth Edition fully covers the concepts of quantum mechanics taught in an undergraduate physics course and provides the foundation necessary for other specialized courses.
目次
PREFACES
INTRODUCTION
The Photoelectric Effect
The Compton Effect
Line Spectra and Atomic Structure
De Broglie Waves
Wave-Particle Duality
The Rest of This Book
THE ONE-DIMENSIONAL SCHROEDINGER EQUATIONS
The Time-Dependent Schroedinger Equation
The Time-Independent Schroedinger Equation
Boundary Conditions
The Infinite Square Well
The Finite Square Well
Quantum Mechanical Tunneling
The Harmonic Oscillator
THE THREE-DIMENSIONAL SCHROEDINGER EQUATIONS
The Wave Equations
Separation in Cartesian Coordinates
Separation in Spherical Polar Coordinates
The Hydrogenic Atom
THE BASIC POSTULATES OF QUANTUM MECHANICS
The Wavefunction
The Dynamical Variables
Probability Distributions
Commutation Relations
The Uncertainty Principle
The Time Dependence of the Wavefunction
Degeneracy
The Harmonic Oscillator Again
The Measurement of Momentum by Compton Scattering
ANGULAR MOMENTUM I
The Angular Momentum Operators
The Angular Momentum Eigenvalues and Eigenfunctions
The Experimental Measurement of Angular Momentum
General Solution to the Angular Momentum Eigenvalue Problem
ANGULAR MOMENTUM II
Matrix Representations
Pauli Spin Matrices
Spin and the Quantum Theory of Measurement
Dirac Notation
Spin-Orbit Coupling and the Zeeman Effect
A More General Treatment of the Coupling of Angular Momenta
TIME-INDEPENDENT PERTURBATION THEORY AND THE VARIATIONAL PRINCIPLE
Perturbation Theory for Non-Degenerate Energy Levels
Perturbation Theory for Degenerate Levels
The Variational Principle
TIME DEPENDENCE
Time-Independent Hamiltonians
The Sudden Approximation
Time-Dependent Perturbation Theory
Selection Rules
The Ehrenfest Theorem
The Ammonia Maser
SCATTERING
Scattering in One Dimension
Scattering in Three Dimensions
The Born Approximation
Partial Wave Analysis
MANY-PARTICLE SYSTEMS
General Considerations
Isolated Systems
Non-Interacting Particles
Indistinguishable Particles
Many-Particle Systems
The Helium Atom
Scattering of Identical Particles
RELATIVITY AND QUANTUM MECHANICS
Basic Results in Special Relativity
The Dirac Equation
Antiparticles
Other Wave Equations
Quantum Field Theory and the Spin-Statistics Theorem
QUANTUM INFORMATION
Quantum Cryptography
Entanglement
Cloning and Teleportation
Quantum Computing
THE CONCEPTUAL PROBLEMS OF QUANTUM MECHANICS
The Conceptual Problems
Hidden-Variable Theories
Non-Locality
The Quantum Measurement Problem
The Ontological Problem
Problems appear at the end of each chapter.
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