## Lectures in Quantum Mechanics: A Two-Term CourseBased on a series of university lectures on nonrelativistic quantum mechanics, this textbook covers a wide range of topics, from the birth of quantum mechanics to the fine-structure levels of heavy atoms. The author sets out from the crisis in classical physics and explores the seminal ideas of Einstein, Bohr, and de Broglie and their vital importance for the development of quantum mechanics. There follows a bottom-up presentation of the postulates of quantum mechanics through real experiments (such as those of neutron interferometry), with consideration of their most important consequences, including applications in the field of atomic physics. A final chapter is devoted to the paradoxes of quantum mechanics, and particularly those aspects that are still open and hotly debated, to end up with a mention to Bell's theorem and Aspect's experiments. In presenting the principles of quantum mechanics in an inductive way, this book has already proved very popular with students in its Italian language version.It complements the exercises and solutions book "Problems in Quantum Mechanics", by E. d'Emilio, L.E. Picasso (Springer). |

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### Contents

1 | |

2 From Einstein to de Broglie | 15 |

3 Introduction to the Postulates of Quantum Mechanics | 43 |

4 The Postulates of Quantum Mechanics | 61 |

5 The Harmonic Oscillator | 94 |

6 Representation Theory | 101 |

7 Schrodinger Equation for OneDimensional Systems | 133 |

8 OneDimensional Systems | 149 |

12 Perturbations to Energy Levels | 202 |

13 Electromagnetic Transitions | 219 |

14 Introduction to Atomic Physics | 247 |

15 Composite Systems Pauli Principle | 266 |

16 ManyElectron Atoms | 283 |

17 Elementary Theory of Scattering | 315 |

18 The Paradoxes of Quantum Mechanics | 337 |

Appendix Physical Constants | 348 |

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### Common terms and phrases

alkali atoms angular momentum antisymmetric approximation atomic core basis Bohr calculation classical physics commute complete set components configuration consequence corresponding defined degeneracy degenerate degrees of freedom depends determined diagonal discussion eigenfunctions eigenstates eigenvalues eigenvectors electromagnetic electron emission energy levels example exist fact factor frequency function given Hamiltonian harmonic oscillator integral interaction Let us consider magnetic field matrix elements mean value measurement neutron nondegenerate nonvanishing observable obtained operator optical orbital orthogonal particle perturbation photon polarization polaroid sheet possible postulate potential probability problem quantization quantum mechanics quantum numbers radiation region represented result scalar product scattering Schrödinger equation Schrödinger representation Sect selection rules self-adjoint operator solution spectrum spin spin-orbit interaction Springer International symmetric term theorem theory transition vanishing variables vector wave packet wavefunction Zeeman Zeeman effect