Details zur Lehrveranstaltung
One-Dimensional Physics: From Quantum Wires to Quantum Field Theory | |||||||
Modul: | Phy-Ma-Vert: Physikalische Vertiefung | ||||||
Lecture language | English | ||||||
Summary of Lecture: | 1) Examples for one-dimensional physics 2) Phenomeonological bosonization 3) Quantum anomales and normal ordering 4) Luttinger liquids, and formal bosonization 5) Spin charge seperation 6) Renormalization group and sine-Gordon terms 7) Jordan-Wigner transformation of spin chains 8) Applications of bosonization and Luttinger liquid physics: impurities in quantum wires, conductance quantization, quantum Hall physics in coupled wires |
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data set up-to-date | |||||||
Scope: | lecture: 3 hours/week tutorials: 1 hours/week | ||||||
Time/location: | MO(6) BZW/A120, MI(5) ugW. SE2/122/U | ||||||
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Audience: | Vertiefung Bachelor (PV) und Master (alle) | ||||||
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Previous knowledge: | Quantum mechanics, basics of solid state physics | Certificate: | problem sets | ||||
Enrolment: | 1st lecture on April 3rd, 2017 | ||||||
Web-reference: | https://tu-dresden.de/mn/physik/itp/tfp/studium/lehre/ss-2017/1d_ss17 | ||||||
For details, please visit the webpage of the lecture. This lecture will explain how one-dimensional systems can be analysed theoretically, and how dramatically different they are from two- and three-dimensional systems. We will cover exciting physical phenomena such as spin-charge separation, understand in what sense bosons, fermions, and spins are the same in one dimension, and provide an introduction to the field theoretical description of one-dimensional systems, as well as the renormalisation group approach. The lecture is suited for Master and advanced Bachelor students, as well as PhD students. A good understanding of elementary quantum mechanics as well as basic knowledge of solid state physics is strongly recommend. |