# Introduction to Quantum Mechanics

## 1st Edition

### in Chemistry, Materials Science, and Biology

**Authors:**Sy Blinder

**eBook ISBN:**9780080489285

**Paperback ISBN:**9780121060510

**Imprint:**Academic Press

**Published Date:**7th June 2004

**Page Count:**319

**View all volumes in this series:**Complementary Science

## Table of Contents

Preface

- ATOMS AND PHOTONS 1.1 Atomic and Subatomic Particles 1.2 Electromagnetic Waves 1.3 Three Failures of Classical Physics 1.4 Blackbody Radiation 1.5 The Photoelectric Effect 1.6 Line Spectra 1A. Maxwell's Equations 1B. Planck Radiation Law
- WAVES AND PARTICLES 2.1 Double-Slit Experiment 2.2 Wave-Particle Duality 2.3 The Schrƒodinger Equation 2.4 Operators and Eigenvalues 2.5 The Wavefunction Exercises 3 SIMPLE SYSTEMS 3.1 Free Particle 3.2 Particle in a Box 3.3 Free-Electron Model 3.4 Three-Dimensional Box Exercises
- PRINCIPLES OF QUANTUM MECHANICS 4.1 Hermitian Operators 4.2 Eigenvalues and Eigenfunctions 4.3 Expectation Values 4.4 More on Operators 4.5 Postulates of Quantum Mechanics 4.6 Dirac Notation 4.7 Variational Principle 4.8 Spectroscopic Transitions 4A. Radiative Transitions Exercises
- HARMONIC OSCILLATOR 5.1 Classical Oscillator 5.2 Quantum Harmonic Oscillator 5.3 Eigenfunctions and Eigenvalues 5.4 Operator Formulation 5.5 Quantum Theory of Radiation 5A. Gaussian Integrals 5B. Hermite Polynomials Exercises
- ANGULAR MOMENTUM 6.1 Particle in a Ring 6.2 Free Electron Model 6.3 Spherical Polar Coordinates 6.4 Rotation in Three Dimensions 6.5 Theory of Angular Momentum 6.6 Electron Spin 6.7 Addition of Angular Momenta 6A. Curvilinear Coordinates 6B. Spherical Harmonics 6C. Pauli Spin Algebra
- HYDROGEN ATOM 7.1 Atomic Spectra 7.2 The Bohr Atom 7.3 Hydrogenlike Atoms 7.4 Ground State 7.5 Atomic Orbitals 7.6 p- and d-Orbitals 7.7 Summary on Atomic Orbitals 7.8 Reduced Mass 7A. Laguerre Polynomials Exercises
- HELIUM ATOM 8.1 Experimental Energies 8.2 Variational Calculations 8.3 Spinorbitals and the Exclusion Principle 8.4 Excited States of Helium Exercises
- ATOMIC STRUCTURE 9.1 Slater Determinants 9.2 Aufbau Principles 9.3 Atomic Configurations and Term Symbols 9.4 Periodicity of Atomic Properties 9.5 Relativistic Effects 9.6 Spiral Periodic Table 9.7 Self-Consistent Field Exercises
- THE CHEMICAL BOND 10.1 The Hydrogen Molecule 10.2 Valence Bond Theory 10.3 Molecular Geometry 10.4 Hypervalent Compounds 10.5 Valence-Shell Model 10.6 Transition Metal Complexes 10.7 The Hydrogen Bond 10.8 Critique of Valence-Bond Theory Exercises
- DIATOMIC MOLECULE ORBITALS 11.1 Hydrogen Molecule-Ion 11.2 LCAO Approximation 11.3 Homonuclear Diatomics 11.4 Variational Computations 11.5 Heteronuclear Molecules 11.6 Electronegativity Exercises
- POLYATOMIC MOLECULES 12.1 Hƒuckel MO's 12.2 Woodward-HoÆmann 12.3 Metals and Semiconductors 12.4 Computational Chemistry 12.5 Density Functional Theory Exercises
- MOLECULAR SYMMETRY 13.1 The Ammonia Molecule 13.2 Group Theory 13.3 Quantum Mechanics 13.4 Molecular Orbitals for Ammonia 13.5 Selection Rules 13.6 The Water Molecule 13.7 Walsh Diagrams 13.8 Molecular Symmetry Groups 13.9 Dipole Moments and Optical Activity 13.10 Character tables Exercises
- MOLECULAR SPECTROSCOPY 14.1 Vibration of Diatomic Molecules 14.2 Vibration of Polyatomic Molecules 14.3 Rotation of Diatomic Molecules 14.4 Rotation-Vibration Spectra 14.5 Molecular Parameters from Spectroscopy 14.6 Rotation of Polyatomic Molecules 14.7 Electronic Excitations 14.8 Lasers 14.9 Raman Spectroscopy Exercises
- NUCLEAR MAGNETIC RESONANCE 15.1 Magnetic Properties of Nuclei 15.2 Nuclear Magnetic Resonance 15.3 The Chemical Shift 15.4 Spin-Spin Coupling 15.5 Mechanism for Spin-Spin Interactions 15.6 Magnetization and Relaxation Processes 15.7 Pulse Techniques and Fourier Transforms 15.8 Two-Dimensional NMR 15.9 Magnetic Resonance Imaging Exercises
- WONDERS OF THE QUANTUM WORLD 16.1 The Copenhagen Interpretation 16.2 Superposition 16.3 Schrƒodinger's Cat 16.4 Einstein-Podolsky-Rosen Experiment 16.5 Bell's Theorem 16.6 Aspect's Experiment 16.7 Multiple Photon Entanglement 16.8 Quantum Computers Exercises Suggested References Answers to Exercises

## Description

*Introduction to Quantum Mechanics* provides a lucid, up-to-date introduction to the principles of quantum mechanics at the level of undergraduates and first-year graduate students in chemistry, materials science, biology and related fields. It shows how the fundamental concepts of quantum theory arose from classic experiments in physics and chemistry, and presents the quantum-mechanical foundations of modern techniques including molecular spectroscopy, lasers and NMR.

Blinder also discusses recent conceptual developments in quantum theory, including Schrödinger's Cat, the Einstein-Podolsky-Rosen experiment, Bell's theorem and quantum computing.

## Key Features

- Clearly presents the basics of quantum mechanics and modern developments in the field
- Explains applications to molecular spectroscopy, lasers, NMR, and MRI
- Introduces new concepts such as Schrödinger's Cat, Bell's Theorem, and quantum computing
- Includes full-color illustrations, proven pedagogical features, and links to online materials

## Readership

Appropriate introduction to Quantum Mechanics for students in Physical Chemistry, Materials Science, Engineering, and biological sciences. Will be of interest to students, faculty, and lay readers who want a concise but correct discussion of the general concepts of QM.

## Details

- No. of pages:
- 319

- Language:
- English

- Copyright:
- © Academic Press 2004

- Published:
- 7th June 2004

- Imprint:
- Academic Press

- eBook ISBN:
- 9780080489285

- Paperback ISBN:
- 9780121060510

## Reviews

"Professor Blinder is highly respected and is confirmed by his production of a very good book... Blinder's book has a freshness, a modern approach and is very readable." --**Neil R. Kestner, Louisiana State University**

"I like the book very much. It is clearly written, in a style that should be appealing to students. The figures are especially good, and well chosen to illustrate important concepts that are often discussed without illustration...I found the explanations in the main text to be excellent...I would strongly recommend the book ." --**Doug Doren, University of Delaware**

"...This is an excellent book to use to introduce Quantum Mechanics to the desired audience...The organisation and style of the book are such that a student would find it easy to read and follow the physical, chemical and mathematical principles under discussion." --**Jim McTavish, Liverpool John Moores University**

"*Introduction to Quantum Mechanics* is probably suited as a graduate text for students outside chemistry who need to understand quantum mechanics without undertaking a full year of physical chemistry. In addition to mastering the *mechanics*, lucky readers of this book will explore the fascinating philosophical and metaphysical implications launched into popular culture the word, *quantum*." --**Kevin. M. Dunn, Hampden-Sydney College, VA, USA, JOURNAL OF CHEMICAL EDUCATION, Vol. 82, No. 3, 2005**

## About the Authors

### Sy Blinder Author

### Affiliations and Expertise

Wolfram Research, Inc., Chicago, IL, USA and University of Michigan, Ann Arbor, USA