## Advanced Quantum Mechanics: Materials and PhotonsIn this updated and expanded second edition of a well-received and invaluable textbook, Prof. Dick emphasizes the importance of advanced quantum mechanics for materials science and all experimental techniques which employ photon absorption, emission, or scattering. Important aspects of introductory quantum mechanics are covered in the first seven chapters to make the subject self-contained and accessible for a wide audience. This second edition includes an additional 62 new problems as well as expanded sections on relativistic quantum fields and applications of quantum electrodynamics. Other special features include an introduction to Lagrangian field theory and an integrated discussion of transition amplitudes with discrete or continuous initial or final states. Once students have acquired an understanding of basic quantum mechanics and classical field theory, canonical field quantization is easy. Furthermore, the integrated discussion of transition amplitudes naturally leads to the notions of transition probabilities, decay rates, absorption cross sections and scattering cross sections, which are important for all experimental techniques that use photon probes. |

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### Contents

1 | |

25 | |

3 Simple Model Systems | 36 |

4 Notions from Linear Algebra and BraKet Notation | 63 |

5 Formal Developments | 84 |

6 Harmonic Oscillators and Coherent States | 103 |

7 Central Forces in Quantum Mechanics | 121 |

8 Spin and Addition of Angular Momentum Type Operators | 157 |

19 Quantum Aspects of Materials II | 430 |

20 Dimensional Effects in Lowdimensional Systems | 477 |

21 Relativistic Quantum Fields | 495 |

22 Applications of Spinor QED | 545 |

Lagrangian Mechanics | 577 |

The Covariant Formulation of Electrodynamics | 587 |

Completeness of SturmLiouville Eigenfunctions | 605 |

Properties of Hermite Polynomials | 620 |

9 Stationary Perturbations in Quantum Mechanics | 171 |

10 Quantum Aspects of Materials I | 185 |

11 Scattering Off Potentials | 206 |

12 The Density of States | 227 |

13 Timedependent Perturbations in Quantum Mechanics | 240 |

14 Path Integrals in Quantum Mechanics | 283 |

15 Coupling to Electromagnetic Fields | 301 |

16 Principles of Lagrangian Field Theory | 321 |

17 Nonrelativistic Quantum Field Theory | 333 |

Photons | 383 |

The BakerCampbellHausdorff Formula | 625 |

The Logarithm of a Matrix | 629 |

Dirac γ matrices | 633 |

Spinor representations of the Lorentz group | 645 |

Transformation of fields under reflections | 655 |

Greens functions in d dimensions | 658 |

685 | |

687 | |