Quantum mechanics a conceptual approach 1st Edition by Hendrik F Hameka ISBN 0471649651 9780471649656

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Product details:

ISBN 10: 0471649651 

ISBN 13: 9780471649656

Author: Hendrik F. Hameka

A unique introductory text on quantum mechanics, from basic principles to historical perspective.
* Includes description of the historical developments that led to the discovery of QM, often left out of other textbooks.
* Emphasizes basic concepts that were essential in this discovery, placing them in context and making them more understandable to students.
* Written in an easy-to-understand style and assuming no prior knowledge of the topic, this book provides a solid foundation for future study of quantum chemistry.
* Includes problem sets for student use.

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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Tags: Hendrik F Hameka, Quantum Mechanics, Conceptual Approach