# Search result: Catalogue data in Autumn Semester 2018

Computational Science and Engineering Master | ||||||

Fields of Specialization | ||||||

Physics For the field of specialization `Physics' basic knowledge in quantum mechanics is required. | ||||||

Number | Title | Type | ECTS | Hours | Lecturers | |
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402-0809-00L | Introduction to Computational Physics | W | 8 credits | 2V + 2U | H. J. Herrmann | |

Abstract | This course offers an introduction to computer simulation methods for physics problems and their implementation on PCs and super computers: classical equations of motion, partial differential equations (wave equation, diffusion equation, Maxwell's equation), Monte Carlo simulations, percolation, phase transitions | |||||

Objective | ||||||

Content | Einführung in die rechnergestützte Simulation physikalischer Probleme. Anhand einfacher Modelle aus der klassischen Mechanik, Elektrodynamik und statistischen Mechanik sowie interdisziplinären Anwendungen werden die wichtigsten objektorientierten Programmiermethoden für numerische Simulationen (überwiegend in C++) erläutert. Daneben wird eine Einführung in die Programmierung von Vektorsupercomputern und parallelen Rechnern, sowie ein Überblick über vorhandene Softwarebibliotheken für numerische Simulationen geboten. | |||||

Prerequisites / Notice | Lecture and exercise lessons in english, exams in German or in English | |||||

402-0205-00L | Quantum Mechanics I | W | 10 credits | 3V + 2U | M. Gaberdiel | |

Abstract | Introduction to non-relativistic single-particle quantum mechanics. In particular, the basic concepts of quantum mechanics, such as the quantisation of classical systems, wave functions, the description of observables as operators on a Hilbert space, as well as the formulation of symmetries, will be discussed. Basic phenomena will be analysed and illustrated by generic examples. | |||||

Objective | Introduction to single-particle quantum mechanics. Familiarity with basic ideas and concepts (quantisation, operator formalism, symmetries, angular momentum, perturbation theory) and generic examples and applications (bound states, tunneling, hydrogen atom, harmonic oscillator). Ability to solve simple problems. | |||||

Content | Keywords: Schrödinger equation, basic formalism of quantum mechanics (states, operators, commutators, measuring process), symmetries (translations, rotations, discrete symmetries), quantum mechanics in one dimension, spherically symmetric problems in three dimensions, hydrogen atom, harmonic oscillator, angular momentum, spin, addition of angular momenta, relation between QM and classical physics. | |||||

Literature | J.J. Sakurai: Modern Quantum Mechanics A. Messiah: Quantum Mechanics I S. Weinberg: Lectures on Quantum Mechanics | |||||

402-0461-00L | Quantum Information Theory | W | 8 credits | 3V + 1U | J. Renes | |

Abstract | The goal of this course is to introduce the foundations of quantum information theory. It starts with a brief introduction to the mathematical theory of information and then discusses the basic information-theoretic aspects of quantum mechanics. Further topics include applications such as quantum cryptography and quantum computing. | |||||

Objective | The course gives an insight into the notion of information and its relevance to physics and, in particular, quantum mechanics. It also serves as a preparation for further courses in the area of quantum information sciences. | |||||

402-0777-00L | Particle Accelerator Physics and Modeling I | W | 6 credits | 2V + 1U | A. Adelmann | |

Abstract | This is the first of two courses, introducing particle accelerators from a theoretical point of view and covers state-of-the-art modelling techniques. | |||||

Objective | You understand the building blocks of particle accelerators. Modern analysis tools allows you to model state-of-the-art particle accelerators. In some of the exercises you will be confronted with next generation machines. We will develop a Python simulation tool (pyAcceLEGOrator) that reflects the theory from the lecture. | |||||

Content | Here is the rough plan of the topics, however the actual pace may vary relative to this plan. - Recap of Relativistic Classical Mechanics and Electrodynamics - Building Blocks of Particle Accelerators - Lie Algebraic Structure of Classical Mechanics and Applications to Particle Accelerators - Symplectic Maps & Analysis of Maps - Symplectic Particle Tracking - Collective Effects - Linear & Circular Machines incl. Cyclotrons - Radiation and Free Electron Lasers | |||||

Lecture notes | Lecture notes | |||||

Prerequisites / Notice | Physics, Computational Science (RW) at BSc. Level This lecture is also suited for PhD. students | |||||

401-5810-00L | Seminar in Physics for CSE | W | 4 credits | 2S | A. Adelmann | |

Abstract | In this seminar, the students present a talk on an advanced topic in modern theoretical or computational physics. The main focus is quantum computation. | |||||

Objective | To teach students the topics of current interest in computational and theoretical physics. In particular, concepts of quantum computation. |

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