Quantum Mechanics: Concepts and Applications
Nouredine Zettili
ISBN: 978-0-471-48944-3
Paperback
664 pages
October 2001
Wiley List Price: US $80.00
This richly illustrated textbook provides a clear, balanced and modern approach to quantum mechanics. It combines the essential elements of the theory with the practical applications. Containing many examples and problems with step-by-step solutions, this cleverly structured text assists the reader in mastering the machinery of quantum mechanics.
* A comprehensive introduction to the subject
* Includes over 65 solved examples integrated throughout the text
* Includes over 154 fully solved multipart problems
* Offers an indepth treatment of the practical mathematical tools of quantum mechanics
* Accessible to teachers as well as students
Preface.
Origins of Quantum Physics.
Historical Note.
Particle Aspect of Radiation.
Wave Aspect of Particles.
Particles versus Waves.
Indeterminacy of the Microphysical World.
Atomic Transitions and Spectroscopy.
Wave Packets.
Concluding Remarks.
Solved problems.
Exercises.
Mathematical Tools of Quantum Mechanics.
Introduction.
The Hilbert Space and Wave Functions.
Dirac Notations.
Operators.
Representation in Discrete Bases.
Representation in Continuous Bases.
Matrix and Wave Mechanics.
Concluding Remarks.
Solved Problems.
Exercises.
Postulates of Quantum Mechanics.
Introduction.
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.
Exercises.
One-Dimensional Problems.
Introduction.
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 Schrö dinger Equation.
Solved Problems.
Problems.
Angular Momentum.
Introduction.
Orbital Angular Momentum.
General Formalism of Angular Momentum.
Matrix Representation of Angular Momentum.
Geometrical Representation of Angular.
Momentum.
Spin Angular Momentum.
Eigenfunctions of Orbital Angular Momentum.
Solved Problems.
Exercises.
Three-Dimensional Problems.
Introduction.
3D Problems in Cartesian Coordinates.
3D Problems in Spherical Coordinates.
Concluding Remarks.
Solved Problems.
Exercises.
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.
Exercises.
Identical Particles.
Many-Particle Systems.
Systems of Identical Particles.
The Pauli Exclusion Principle.
Solved Problems.
Problems.
Approximation Methods for Stationary States.
Introduction.
Time-Independent Perturbation Theory.
The Variational Method.
The Wentzel Kramers Brillouin Method.
Concluding Remarks.
Solved Problems.
Problems.
Time-Dependent Perturbation Theory.
Introduction.
The Pictures of Quantum Mechanics.
Time-Dependent Perturbation Theory.
Adiabatic and Sudden Approximations.
Interaction of Atoms with Radiation.
Solved Problems.
Exercises.
Scattering Theory.
Scattering and Cross Section.
The Scattering Amplitude of Spinless Particles.
The Born Approximation.
Partial Wave Analysis.
Scattering of Indentical Particles.
Solved Problems.
Exercises.
The Delta Function.
One-Dimensional Delta Function.
Three-Dimensional Delta Function.
Angular Momentum in Spherical Coordinates.
Computer Code for Solving the Schrö dinger.
Equation.
Index.
"...a good introductory text far superior to most standard textbooks...highly recommended..." (American Journal of Physics, Vol. 71, No. 1, January 2003)