# Introduction to Quantum Mechanics

## 1st Edition

### in Chemistry, Materials Science, and Biology

**Author:**Sy Blinder

**eBook ISBN:**9780080489285

**Paperback ISBN:**9780121060510

**Imprint:**Academic Press

**Published Date:**7th June 2004

**Page Count:**319

## 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.

## Table of Contents

Preface

1. 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

2. 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

4. 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

5. 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

6. 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

7. 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

8. HELIUM ATOM

8.1 Experimental Energies

8.2 Variational Calculations

8.3 Spinorbitals and the Exclusion Principle

8.4 Excited States of Helium

Exercises

9. 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

10. 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

11. 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

12. 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

13. 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

14. 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

15. 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

16. 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

## Details

- No. of pages:
- 319

- Language:
- English

- Copyright:
- © Academic Press 2004

- Published:
- 7th June 2004

- Imprint:
- Academic Press

- eBook ISBN:
- 9780080489285

- Paperback ISBN:
- 9780121060510

## About the Author

### Sy Blinder

Professor Blinder is Professor Emeritus of Chemistry and Physics at the University of Michigan, Ann Arbor and a senior scientist with Wolfram Research Inc., Champaign, IL.. After receiving his A.B. in Physics and Chemistry from Cornell University, he went on to receive an A. M in Physics, and a Ph. D. in Chemical Physics from Harvard University under Professors W. E. Moffitt and J. H. Van Vleck. He has held positions at Johns Hopkins University, Carnegie-Mellon University, Harvard University, University College London, Centre de Méchanique Ondulatoire Appliquée in Paris, the Mathematical Institute in Oxford, and the University of Michigan. Prof Blinder has won multiple awards for his work, published 4 books, and over 100 journal articles. His research interests include Theoretical Chemistry, Mathematical Physics, applications of quantum mechanics to atomic and molecular structure, theory and applications of Coulomb Propagators, structure and self-energy of the electron, supersymmetric quantum field theory, connections between general relativity and quantum mechanics.

### Affiliations and Expertise

Professor Emeritus of Chemistry and Physics at the University of Michigan, USA, and Senior Scientist with Wolfram Research, Illinois, USA

## 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**