Quantum Mechanics: A Conceptual Approach

Quantum Mechanics: A Conceptual Approach

by Hendrik F. Hameka

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Overview

This book provides a basic understanding of the subject of quantum mechanics. No prior knowledge of the topic is assumed. Beginning with a historical description of the initial discovery and development of QM, Hameka breaks down the basic concepts, mathematics, and applications of the subject, providing a solid foundation for further study of quantum chemistry.

Product Details

ISBN-13: 9780471092230
Publisher: Wiley, John & Sons, Incorporated
Publication date: 09/08/1981
Pages: 387

About the Author

HENDRIK F. HAMEKA is Professor of Theoretical Chemistry in the Department of Chemistry at the University of Pennsylvania. Originally trained as a theoretical physicist, he studied quantum mechanics under H. A. Kramers (who in turn had studied under Niels Bohr). This study sparked his interest in chemical applications of quantum mechanics, which subsequently became his principal research specialty. He has written four previous textbooks on this subject, the last of which was published by Wiley.

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Table of Contents

Preface.

1. The Discovery of Quantum Mechanics.

I Introduction.

II Planck and Quantization.

III Bohr and the Hydrogen Atom.

IV Matrix Mechanics.

V The Uncertainty Relations.

VI Wave Mechanics.

VII The Final Touches of Quantum Mechanics.

VIII Concluding Remarks.

2. The Mathematics of Quantum Mechanics.

I Introduction.

II Differential Equations.

III Kummer’s Function.

IV Matrices.

V Permutations.

VI Determinants.

VII Properties of Determinants.

VIII Linear Equations and Eigenvalues.

IX Problems.

3. Classical Mechanics.

I Introduction.

II Vectors and Vector Fields.

III Hamiltonian Mechanics.

IV The Classical Harmonic Oscillator.

V Angular Momentum.

VI Polar Coordinates.

VII Problems.

4. Wave Mechanics of a Free Particle.

I Introduction.

II The Mathematics of Plane Waves.

III The Schrödinger Equation of a Free Particle.

IV The Interpretation of the Wave Function.

V Wave Packets.

VI Concluding Remarks.

VII Problems.

5. The Schrödinger Equation.

I Introduction.

II Operators.

III The Particle in a Box.

IV Concluding Remarks.

V Problems.

6. Applications.

I Introduction.

II A Particle in a Finite Box.

III Tunneling.

IV The Harmonic Oscillator.

V Problems.

7. Angular Momentum.

I Introduction.

II Commuting Operators.

III Commutation Relations of the Angular Momentum.

IV The Rigid Rotor.

V Eigenfunctions of the Angular Momentum.

VI Concluding Remarks.

VII Problems.

8. The Hydrogen Atom.

I Introduction.

II Solving the Schrödinger Equation.

III Deriving the Energy Eigenvalues.

IV The Behavior of the Eigenfunctions.

V Problems.

9. Approximate Methods.

I Introduction.

II The Variational Principle.

III Applications of the Variational Principle.

IV Perturbation Theory for a Nondegenerate State.

V The Stark Effect of the Hydrogen Atom.

VI Perturbation Theory for Degenerate States.

VII Concluding Remarks.

VIII Problems.

10. The Helium Atom.

I Introduction.

II Experimental Developments.

III Pauli’s Exclusion Principle.

IV The Discovery of the Electron Spin.

V The Mathematical Description of the Electron Spin.

VI The Exclusion Principle Revisited.

VII Two-Electron Systems.

VIII The Helium Atom.

IX The Helium Atom Orbitals.

X Concluding Remarks.

XI Problems.

11 Atomic Structure.

I Introduction.

II Atomic and Molecular Wave Function.

III The Hartree-Fock Method.

IV Slater Orbitals.

V Multiplet Theory.

VI Concluding Remarks.

VII Problems.

12 Molecular Structure.

I Introduction.

II The Born-Oppenheimer Approximation.

III Nuclear Motion of Diatomic Molecules.

IV The Hydrogen Molecular Ion.

V The Hydrogen Molecule.

VI The Chemical Bond.

VII The Structures of Some Simple Polyatomic Molecules.

VIII The Hückel Molecular Orbital Method.

IX Problems.

Index.

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"…the treatment of individual topics and concepts is very good and informative…" (Journal of Chemical Education, January 2005)

"…this book serves as a skeletal summary of arguments presented in class...” (CHOICE, October 2004)

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