## Molecular Quantum MechanicsQuantum mechanics embraces the behaviour of all known forms of matter, including the atoms and molecules from which we, and all living organisms, are composed. Molecular Quantum Mechanics leads us through this absorbing yet challenging subject, exploring the fundamental physical principles that explain how all matter behaves. With the clarity of exposition and extensive learning features that have established the book as a leading text in the field, Molecular Quantum Mechanics takes us from the foundations of quantum mechanics, through quantum models of atomic, molecular, and electronic structure, and on to discussions of spectroscopy, and the electronic and magnetic properties of molecules. Lucid explanations and illuminating artworks help to visualise the many abstract concepts upon which the subject is built. Fully updated to reflect the latest advances in computational techniques, and enhanced with more mathematical support and worked examples than ever before, Molecular Quantum Mechanics remains the ultimate resource for those wishing to master this important subject. Online Resource Centre For students: Interactive worksheets to help students master mathematical concepts through hands-on learning Solutions to selected exercises and problems For registered adopters of the book: Figures in electronic format Solutions to all exercises and problems |

### Contents

Introduction and orientation | 1 |

1 The foundations of quantum mechanics | 9 |

2 Linear motion and the harmonic oscillator | 37 |

3 Rotational motion and the hydrogen atom | 69 |

4 Angular momentum | 99 |

5 Group theory | 125 |

6 Techniques of approximation | 170 |

7 Atomic spectra and atomic structure | 210 |

8 An introduction to molecular structure | 258 |

### Common terms and phrases

angular momentum applied approximation atom basis becomes bond brief calculation called centre Chapter character classical coeAcients commutation complex components configuration consider constant construct contribution coordinates corresponding coupling denoted density depends derivatives described determinant diCerent dipole direction discussion eCect electric electron energy levels equal equation evaluate example excited expectation expression field follows frequency function given gives ground hamiltonian harmonic hydrogen illustration increases integral interaction linear combination lines magnetic mass matrix elements mechanics method molecular molecule multiplication normal Note nucleus observed obtain operator orbitals oscillator particle perturbation position potential energy probability problem properties quantum quantum mechanics radiation region relation representation represented respectively result rotational rules scattering selection separation solution species spherical symmetry Table theory tion transition vector vibrational wave wavefunction write zero