Quantum Mechanics : Concepts and Applications

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  • Edition: 2nd
  • Format: Paperback
  • Copyright: 2/24/2009
  • Publisher: Wiley

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Quantum Mechanics: Concepts and Applications provides a clear, balanced and modern introduction to the subject. Written with the student's background and ability in mind the book takes an innovative approach to quantum mechanics by combining the essential elements of the theory with the practical applications: it is therefore both a textbook and a problem solving book in one self-contained volume. Carefully structured, the book starts with the experimental basis of quantum mechanics and then discusses its mathematical tools. Subsequent chapters cover the formal foundations of the subject, the exact solutions of the Schr_dinger equation for one and three dimensional potentials, time-independent and time-dependent approximation methods, and finally, the theory of scattering.The text is richly illustrated throughout with many worked examples and numerous problems with step-by-step solutions designed to help the reader master the machinery of quantum mechanics. The new edition will be completely updated and include new material on Bell's Theorem and Dirac's relativistic equation.

Table of Contents

Origins of Quantum Physics
Historical Note
Particle Aspect of Radiation
Wave Aspect of Particles
Particles versus Waves
Indeterministic Nature of the Microphysical World
Atomic Transitions and Spectroscopy
Quantization Rules
Wave Packets
Concluding Remarks
Solved Problems
Mathematical Tools of Quantum Mechanics
The Hilbert Space and Wave Functions
Dirac Notation
Representation in Discrete Bases
Representation in Continuous Bases
Matrix and Wave Mechanics
Concluding Remarks
Solved Problems
Postulates of Quantum Mechanics
The Basic Postulates of Quantum Mechanics
The State of a System
Observables and Operators
Measurement in Quantum Mechanics
Time Evolution of the System's State
Symmetries and Conservation Laws
Connecting Quantum to Classical Mechanics
Solved Problems
One-Dimensional Problems
Properties of One-Dimensional Motion
The Free Particle: Continuous States
The Potential Step
The Potential Barrier and Well
The Infinite Square Well Potential
The Finite Square Well Potential
The Harmonic Oscillator
Numerical Solution of the Schr_dinger Equation
Solved Problems
Angular Momentum
Orbital Angular Momentum
General Formalism of Angular Momentum
Matrix Representation of Angular Momentum
Geometrical Representation of Angular Momentum
Spin Angular Momentum
Eigen functions of Orbital Angular Momentum
Solved Problems
Three-Dimensional Problems
3D Problems in Cartesian Coordinates
3D Problems in Spherical Coordinates
Concluding Remarks
Solved Problems
Rotations and Addition of Angular Momenta
Rotations in Classical Physics
Rotations in Quantum Mechanics
Addition of Angular Momenta
Scalar, Vector and Tensor Operators
Solved Problems
Identical Particles
Many-Particle Systems
Systems of Identical Particles
The Pauli Exclusion Principle
The Exclusion Principle and the Periodic Table
Solved Problems
Approximation Methods for Stationary States
Time-Independent Perturbation Theory
The Variational Method
The Wentzel "Kramers" Brillou in Method
Concluding Remarks
Solved Problems
Time-Dependent Perturbation Theory
The Pictures of Quantum Mechanics
Time-Dependent Perturbation Theory
Adiabatic and Sudden Approximations
Interaction of Atoms with Radiation
Solved Problems
Scattering Theory
Scattering and Cross Section
Scattering Amplitude of Spinless Particles
The Born Approximation
Partial Wave Analysis
Scattering of Identical Particles
Solved Problems
The Delta Function
One-Dimensional Delta Function
Three-Dimensional Delta Function
Angular Momentum in Spherical Coordinates
Derivation of Some General
Gradient and Laplacianin Spherical Coo
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