Quantum mechanics : concepts and applications

Author(s)

Bibliographic Information

Quantum mechanics : concepts and applications

Nouredine Zettili

John Wiley, c2001

  • : pbk
  • : hbk

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Note

Includes bibliographical references and index

Description and Table of Contents

Volume

: hbk ISBN 9780471489436

Description

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

Table of Contents

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 Schr? 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 Schr? dinger Equation. Index.
Volume

: pbk ISBN 9780471489443

Description

This 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 text assists the reader in mastering the machinery of quantum mechanics. The book includes: comprehensive introduction to the subject; over 65 solved examples integrated throughout the text; over 154 fully solved multipart problems; an in-depth treatment of the practical mathematical tools of quantum mechanics; and it is designed to be accessible to teachers as well as students.

Table of Contents

  • 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 Schrv 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 Schrv dinger
  • Equation
  • Index.

by "Nielsen BookData"

Details

  • NCID
    BA53823740
  • ISBN
    • 0471489441
    • 0471489433
  • LCCN
    01024906
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Chichester
  • Pages/Volumes
    xiv, 649 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
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