Introduction to Quantum Mechanics, 2nd Edition provides an accessible, fully updated introduction to the principles of quantum mechanics. It outlines the fundamental concepts of quantum theory, discusses how these arose from classic experiments in chemistry and physics, and presents the quantum-mechanical foundations of current scientific developments.Beginning with a solid introduction to the key principles underpinning quantum mechanics in Part 1, the book goes on to expand upon these in Part 2, where fundamental concepts such as molecular structure and chemical bonding are discussed. Finally, Part 3 discusses applications of this quantum theory across some newly developing applications, including chapters on Density Functional Theory, Statistical Thermodynamics and Quantum Computing.Drawing on the extensive experience of its expert author, Introduction to Quantum Mechanics, 2nd Edition is a lucid introduction to the principles of quantum mechanics for anyone new to the field, and a useful refresher on fundamental knowledge and latest developments for those varying degrees of background.
1. Introduction to Quantum Mechanics - p. iii 2. Cover - p. iii 3. Title Page - p. iii 4. Copyright Page - p. iv 5. Table of Contents - p. iv 6. Dedication - p. v 7. Preface to the 1st edition - p. xiii 8. Preface to the 2nd edition - p. xv 9. About the author - p. xvii 10. Chapter 1 Atoms and photons: origins of the quantum theory - p. 1 11. Chapter 2 Waves and particles - p. 21 12. Chapter 3 Quantum mechanics of some simple system - p. 35 13. Chapter 4 Principles of quantum mechanics - p. 51 14. Chapter 5 Special functions - p. 71 15. 5.1: Gaussian functions - p. 71 16. 5.2: The gamma function - p. 73 17. 5.3: The Dirac deltafunction - p. 75 18. 5.4: Leibniz's formula - p. 78 19. 5.5: Hermite polynomials - p. 79 20. 5.6: Spherical polar coordinates - p. 81 21. 5.7: Legendre polynomials - p. 84 22. 5.8: Spherical harmonics - p. 86 23. 5.9: Laguerre polynomials - p. 87 24. 5.10: Series solutions of differential equations - p. 89 25. 5.11: Bessel functions - p. 90 26. 5.12: Spherical Bessel functions - p. 94 27. Supplement 5A. Particle in a disk - p. 96 28. Supplement 5B. Particle in an infinite spherical well - p. 97 29. Supplement 5C. Particle in a deltafunction well - p. 99 30. Chapter 6 The harmonic oscillator - p. 103 31. Chapter 7 Angular momentum - p. 117 32. Chapter 8 The hydrogen atom and atomic orbitals - p. 129 33. Chapter 9 The helium atom - p. 151 34. Chapter 10 Atomic structure and the periodic law - p. 159 35. Chapter 11 The chemical bond - p. 177 36. Chapter 12 Molecular orbital theory of diatomic molecules - p. 199 37. Chapter 13 Polyatomic molecules and solids - p. 213 38. Chapter 14 Density functional theory - p. 235 39. Chapter 15 Molecular symmetry - p. 245 40. Chapter 16 Molecular spectroscopy - p. 267 41. Chapter 17 Statistical thermodynamics - p. 293 42. Chapter 18 Nuclear magnetic resonance - p. 315 43. Chapter 19 Wonders of the quantum world - p. 337 44. Chapter 20 Quantum computers - p. 355 45. Answers to exercises - p. 381 46. Suggested references - p. 403 47. Index - p. 405
Introduction to Quantum Mechanics, 2nd Edition provides an accessible, fully updated introduction to the principles of quantum mechanics. It outlines the fundamental concepts of quantum theory, discusses how these arose from classic experiments in chemistry and physics, and presents the quantum-mechanical foundations of current scientific developments.Beginning with a solid introduction to the key principles underpinning quantum mechanics in Part 1, the book goes on to expand upon these in Part 2, where fundamental concepts such as molecular structure and chemical bonding are discussed. Finally, Part 3 discusses applications of this quantum theory across some newly developing applications, including chapters on Density Functional Theory, Statistical Thermodynamics and Quantum Computing.Drawing on the extensive experience of its expert author, Introduction to Quantum Mechanics, 2nd Edition is a lucid introduction to the principles of quantum mechanics for anyone new to the field, and a useful refresher on fundamental knowledge and latest developments for those varying degrees of background.
1. Introduction to Quantum Mechanics - p. iii 2. Cover - p. iii 3. Title Page - p. iii 4. Copyright Page - p. iv 5. Table of Contents - p. iv 6. Dedication - p. v 7. Preface to the 1st edition - p. xiii 8. Preface to the 2nd edition - p. xv 9. About the author - p. xvii 10. Chapter 1 Atoms and photons: origins of the quantum theory - p. 1 11. Chapter 2 Waves and particles - p. 21 12. Chapter 3 Quantum mechanics of some simple system - p. 35 13. Chapter 4 Principles of quantum mechanics - p. 51 14. Chapter 5 Special functions - p. 71 15. 5.1: Gaussian functions - p. 71 16. 5.2: The gamma function - p. 73 17. 5.3: The Dirac deltafunction - p. 75 18. 5.4: Leibniz's formula - p. 78 19. 5.5: Hermite polynomials - p. 79 20. 5.6: Spherical polar coordinates - p. 81 21. 5.7: Legendre polynomials - p. 84 22. 5.8: Spherical harmonics - p. 86 23. 5.9: Laguerre polynomials - p. 87 24. 5.10: Series solutions of differential equations - p. 89 25. 5.11: Bessel functions - p. 90 26. 5.12: Spherical Bessel functions - p. 94 27. Supplement 5A. Particle in a disk - p. 96 28. Supplement 5B. Particle in an infinite spherical well - p. 97 29. Supplement 5C. Particle in a deltafunction well - p. 99 30. Chapter 6 The harmonic oscillator - p. 103 31. Chapter 7 Angular momentum - p. 117 32. Chapter 8 The hydrogen atom and atomic orbitals - p. 129 33. Chapter 9 The helium atom - p. 151 34. Chapter 10 Atomic structure and the periodic law - p. 159 35. Chapter 11 The chemical bond - p. 177 36. Chapter 12 Molecular orbital theory of diatomic molecules - p. 199 37. Chapter 13 Polyatomic molecules and solids - p. 213 38. Chapter 14 Density functional theory - p. 235 39. Chapter 15 Molecular symmetry - p. 245 40. Chapter 16 Molecular spectroscopy - p. 267 41. Chapter 17 Statistical thermodynamics - p. 293 42. Chapter 18 Nuclear magnetic resonance - p. 315 43. Chapter 19 Wonders of the quantum world - p. 337 44. Chapter 20 Quantum computers - p. 355 45. Answers to exercises - p. 381 46. Suggested references - p. 403 47. Index - p. 405
