# 402-0516-10L Group Theoretical Methods in Solid State Physics

Semester | Spring Semester 2017 |

Lecturers | D. Pescia |

Periodicity | yearly recurring course |

Language of instruction | English |

### Courses

Number | Title | Hours | Lecturers | ||||
---|---|---|---|---|---|---|---|

402-0516-10 V | Group Theoretical Methods in Solid State Physics | 3 hrs |
| D. Pescia | |||

402-0516-10 U | Group Theoretical Methods in Solid State Physics or by appointment | 3 hrs |
| D. Pescia |

### Catalogue data

Abstract | This lecture introduces the fundamental concepts of group theory and their representations. The accent is on the concrete applications of the mathematical concepts to practical quantum mechanical problems of solid state physics and other fields of physics rather than on their mathematical proof. |

Learning objective | The aim of this lecture is to give a fundamental knowledge on the application of symmetry in atoms, molecules and solids. The lecture is intended for students at the master and Phd. level in Physics that would like to have a practical and comprehensive view of the role of symmetry in physics. Students in their third year of Bachelor will be perfectly able to follow the lecture and can use it for their future master curriculuum. Students from other Departement are welcome, but they should have a solid background in mathematics and physics, although the lecture is quite self-contained. |

Content | 1. Groups, Classes, Representation theory, Characters of a representation and theorems involving them. 2. The symmetry group of the Schrödinger equation, Invariant subspaces, Atomic orbitals, Molecular vibrations, Cristal field splitting, Compatibility relations, Band structure of crystals. 3. SU(2) and spin, The double group, The Kronecker Product, The Clebsch-Gordan coefficients, Clebsch-Gordan coeffients for point groups,The Wigner-Eckart theorem and its applications to optical transitions. |

Lecture notes | The copy of the blackboard is made available online. |

Literature | This lecture is essentially a practical application of the concepts discussed in: - L.D. Landau, E.M. Lifshitz, Lehrbuch der Theor. Pyhsik, Band III, "Quantenmechanik", Akademie-Verlag Berlin, 1979, Kap. XII - Ibidem, Band V, "Statistische Physik", Teil 1, Akademie-Verlag 1987, Kap. XIII and XIV. |

### Performance assessment

Performance assessment information (valid until the course unit is held again) | |

Performance assessment as a semester course | |

ECTS credits | 12 credits |

Examiners | D. Pescia |

Type | session examination |

Language of examination | English |

Repetition | The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit. |

Mode of examination | oral 30 minutes |

This information can be updated until the beginning of the semester; information on the examination timetable is binding. |

### Learning materials

No public learning materials available. | |

Only public learning materials are listed. |

### Groups

No information on groups available. |

### Restrictions

There are no additional restrictions for the registration. |

### Offered in

Programme | Section | Type | |
---|---|---|---|

Doctoral Department of Physics | Doctoral and Post-Doctoral Courses | W | |

Physics Master | Selection: Solid State Physics | W |