Search result: Catalogue data in Autumn Semester 2019
Physics Bachelor | ||||||
First Year | ||||||
» Minor Courses | ||||||
» GESS Science in Perspective | ||||||
» First Year Compulsory Courses | ||||||
First Year Compulsory Courses | ||||||
First Year Examination Block 1 | ||||||
Number | Title | Type | ECTS | Hours | Lecturers | |
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401-1151-00L | Linear Algebra I | O | 7 credits | 4V + 2U | T. H. Willwacher | |
Abstract | Introduction to the theory of vector spaces for students of mathematics or physics: Basics, vector spaces, linear transformations, solutions of systems of equations, matrices, determinants, endomorphisms, eigenvalues, eigenvectors. | |||||
Objective | - Mastering basic concepts of Linear Algebra - Introduction to mathematical methods | |||||
Content | - Basics - Vectorspaces and linear maps - Systems of linear equations and matrices - Determinants - Endomorphisms and eigenvalues | |||||
Literature | - R. Pink: Lineare Algebra I und II. Summary. Link: Link - G. Fischer: Lineare Algebra. Springer-Verlag 2014. Link: Link - K. Jänich: Lineare Algebra. Springer-Verlag 2004. Link: Link - H.-J. Kowalsky, G. O. Michler: Lineare Algebra. Walter de Gruyter 2003. Link: Link - S. H. Friedberg, A. J. Insel and L. E. Spence: Linear Algebra. Pearson 2003. Link - H. Schichl and R. Steinbauer: Einführung in das mathematische Arbeiten. Springer-Verlag 2012. Link: Link | |||||
402-1701-00L | Physics I | O | 7 credits | 4V + 2U | R. Grange | |
Abstract | This course gives a first introduction to Physics with an emphasis on classical mechanics. | |||||
Objective | Acquire knowledge of the basic principles regarding the physics of classical mechanics. Skills in solving physics problems. | |||||
252-0847-00L | Computer Science | O | 5 credits | 2V + 2U | M. Schwerhoff, F. Friedrich Wicker | |
Abstract | The course covers the fundamental concepts of computer programming with a focus on systematic algorithmic problem solving. Taught language is C++. No programming experience is required. | |||||
Objective | Primary educational objective is to learn programming with C++. After having successfully attended the course, students have a good command of the mechanisms to construct a program. They know the fundamental control and data structures and understand how an algorithmic problem is mapped to a computer program. They have an idea of what happens "behind the scenes" when a program is translated and executed. Secondary goals are an algorithmic computational thinking, understanding the possibilities and limits of programming and to impart the way of thinking like a computer scientist. | |||||
Content | The course covers fundamental data types, expressions and statements, (limits of) computer arithmetic, control statements, functions, arrays, structural types and pointers. The part on object orientation deals with classes, inheritance and polymorphism; simple dynamic data types are introduced as examples. In general, the concepts provided in the course are motivated and illustrated with algorithms and applications. | |||||
Lecture notes | English lecture notes will be provided during the semester. The lecture notes and the lecture slides will be made available for download on the course web page. Exercises are solved and submitted online. | |||||
Literature | Bjarne Stroustrup: Einführung in die Programmierung mit C++, Pearson Studium, 2010 Stephen Prata, C++ Primer Plus, Sixth Edition, Addison Wesley, 2012 Andrew Koenig and Barbara E. Moo: Accelerated C++, Addison-Wesley, 2000 | |||||
First Year Examination Block 2 | ||||||
Number | Title | Type | ECTS | Hours | Lecturers | |
401-1261-07L | Analysis I | O | 10 credits | 6V + 3U | P. S. Jossen | |
Abstract | Introduction to the differential and integral calculus in one real variable: fundaments of mathematical thinking, numbers, sequences, basic point set topology, continuity, differentiable functions, ordinary differential equations, Riemann integration. | |||||
Objective | The ability to work with the basics of calculus in a mathematically rigorous way. | |||||
Literature | H. Amann, J. Escher: Analysis I Link J. Appell: Analysis in Beispielen und Gegenbeispielen Link R. Courant: Vorlesungen über Differential- und Integralrechnung Link O. Forster: Analysis 1 Link H. Heuser: Lehrbuch der Analysis Link K. Königsberger: Analysis 1 Link W. Walter: Analysis 1 Link V. Zorich: Mathematical Analysis I (englisch) Link A. Beutelspacher: "Das ist o.B.d.A. trivial" Link H. Schichl, R. Steinbauer: Einführung in das mathematische Arbeiten Link | |||||
Second and Third Year Compulsory Courses | ||||||
Examination Block I | ||||||
Number | Title | Type | ECTS | Hours | Lecturers | |
401-2303-00L | Complex Analysis | O | 6 credits | 3V + 2U | P. Biran | |
Abstract | Complex functions of one variable, Cauchy-Riemann equations, Cauchy theorem and integral formula, singularities, residue theorem, index of closed curves, analytic continuation, special functions, conformal mappings, Riemann mapping theorem. | |||||
Objective | Working knowledge of functions of one complex variables; in particular applications of the residue theorem. | |||||
Literature | B. Palka: "An introduction to complex function theory." Undergraduate Texts in Mathematics. Springer-Verlag, 1991. E.M. Stein, R. Shakarchi: Complex Analysis. Princeton University Press, 2010 Th. Gamelin: Complex Analysis. Springer 2001 E. Titchmarsh: The Theory of Functions. Oxford University Press D. Salamon: "Funktionentheorie". Birkhauser, 2011. (In German) L. Ahlfors: "Complex analysis. An introduction to the theory of analytic functions of one complex variable." International Series in Pure and Applied Mathematics. McGraw-Hill Book Co. K.Jaenich: Funktionentheorie. Springer Verlag R.Remmert: Funktionentheorie I. Springer Verlag E.Hille: Analytic Function Theory. AMS Chelsea Publications | |||||
401-2333-00L | Methods of Mathematical Physics I | O | 6 credits | 3V + 2U | G. Felder | |
Abstract | Fourier series. Linear partial differential equations of mathematical physics. Fourier transform. Special functions and eigenfunction expansions. Distributions. Selected problems from quantum mechanics. | |||||
Objective | ||||||
402-2883-00L | Physics III | O | 7 credits | 4V + 2U | U. Keller | |
Abstract | Introductory course on quantum and atomic physics including optics and statistical physics. | |||||
Objective | A basic introduction to quantum and atomic physics, including basics of optics and equilibrium statistical physics. The course will focus on the relation of these topics to experimental methods and observations. | |||||
Content | Evidence for Quantum Mechanics: atoms, photons, photo-electric effect, Rutherford scattering, Compton scattering, de-Broglie waves. Quantum mechanics: wavefunctions, operators, Schrodinger's equation, infinite and finite square well potentials, harmonic oscillator, hydrogen atoms, spin. Atomic structure: Perturbation to basic structure, including Zeeman effect, spin-orbit coupling, many-electron atoms. X-ray spectra, optical selection rules, emission and absorption of radiation, including lasers. Optics: Fermat's principle, lenses, imaging systems, diffraction, interference, relation between geometrical and wave descriptions, interferometers, spectrometers. Statistical mechanics: probability distributions, micro and macrostates, Boltzmann distribution, ensembles, equipartition theorem, blackbody spectrum, including Planck distribution | |||||
Lecture notes | Lecture notes will be provided electronically during the course. | |||||
Literature | Quantum mechanics/Atomic physics/Molecules: "The Physics of Atoms and Quanta", H. Hakan and H. C. Wolf, ISBN 978-3-642-05871-4 Optics: "Optics", E. Hecht, ISBN 0-321-18878-0 Statistical mechanics: "Statistical Physics", F. Mandl 0-471-91532-7 | |||||
Examination Block II | ||||||
Number | Title | Type | ECTS | Hours | Lecturers | |
402-2203-01L | Classical Mechanics | O | 7 credits | 4V + 2U | M. Gaberdiel | |
Abstract | A conceptual introduction to theoretical physics: Newtonian mechanics, central force problem, oscillations, Lagrangian mechanics, symmetries and conservation laws, spinning top, relativistic space-time structure, particles in an electromagnetic field, Hamiltonian mechanics, canonical transformations, integrable systems, Hamilton-Jacobi equation. | |||||
Objective | Fundamental understanding of the description of Mechanics in the Lagrangian and Hamiltonian formulation. Detailed understanding of important applications, in particular, the Kepler problem, the physics of rigid bodies (spinning top) and of oscillatory systems. | |||||
Examination Block III (Programme Regulations 2016) | ||||||
Number | Title | Type | ECTS | Hours | Lecturers | |
402-0205-00L | Quantum Mechanics I | O | 10 credits | 3V + 2U | G. Blatter | |
Abstract | Introduction to quantum theory: wave mechanics, Schroedinger equation, angular momentum, central force problems, potential scattering, spin. General structure: Hilbert space, states, obervables, equation of motion, density matrix, symmetries, Heisenberg- and interaction picture, approximate methods: perturbation theory, variational approach, quasi-classics. | |||||
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 | Starting from Feynman's path-integral formulation, we develop the operator technique and introduce Dirac's notation. Quantum phenomena are developed by way of example for one-dimensional single particle problems (bound states, tunneling, scattering problems, resonances, periodic and disordered potentials). We introduce rotations and angular momenta and proceed with central symmetric problems, three dimensional scattering theory, spin, and the addition of angular momenta/spin. Various pictures (Schroedinger-, Heisenberg-, Dirac-) are explained and approximative methods such as variational techniques, perturbation theory, and quasi-classical formalism are introduced. | |||||
Lecture notes | Auf Moodle, in deutscher Sprache | |||||
Literature | G. Baim, Lectures on Quantum Mechanics E. Merzbacher, Quantum Mechanics L.I. Schiff, Quantum Mechanics R. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals J.J. Sakurai: Modern Quantum Mechanics A. Messiah: Quantum Mechanics I S. Weinberg: Lectures on Quantum Mechanics | |||||
Third Year Compulsory Courses (Programme Regulations 2010) | ||||||
Number | Title | Type | ECTS | Hours | Lecturers | |
402-0205-00L | Quantum Mechanics I | O | 10 credits | 3V + 2U | G. Blatter | |
Abstract | Introduction to quantum theory: wave mechanics, Schroedinger equation, angular momentum, central force problems, potential scattering, spin. General structure: Hilbert space, states, obervables, equation of motion, density matrix, symmetries, Heisenberg- and interaction picture, approximate methods: perturbation theory, variational approach, quasi-classics. | |||||
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 | Starting from Feynman's path-integral formulation, we develop the operator technique and introduce Dirac's notation. Quantum phenomena are developed by way of example for one-dimensional single particle problems (bound states, tunneling, scattering problems, resonances, periodic and disordered potentials). We introduce rotations and angular momenta and proceed with central symmetric problems, three dimensional scattering theory, spin, and the addition of angular momenta/spin. Various pictures (Schroedinger-, Heisenberg-, Dirac-) are explained and approximative methods such as variational techniques, perturbation theory, and quasi-classical formalism are introduced. | |||||
Lecture notes | Auf Moodle, in deutscher Sprache | |||||
Literature | G. Baim, Lectures on Quantum Mechanics E. Merzbacher, Quantum Mechanics L.I. Schiff, Quantum Mechanics R. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals J.J. Sakurai: Modern Quantum Mechanics A. Messiah: Quantum Mechanics I S. Weinberg: Lectures on Quantum Mechanics | |||||
Core Courses | ||||||
Core Courses in Experimental Physics | ||||||
Number | Title | Type | ECTS | Hours | Lecturers | |
402-0263-00L | Astrophysics I | W | 10 credits | 3V + 2U | H. M. Schmid | |
Abstract | This introductory course will develop basic concepts in astrophysics as applied to the understanding of the physics of planets, stars, galaxies, and the Universe. | |||||
Objective | The course provides an overview of fundamental concepts and physical processes in astrophysics with the dual goals of: i) illustrating physical principles through a variety of astrophysical applications; and ii) providing an overview of research topics in astrophysics. | |||||
402-0255-00L | Introduction to Solid State Physics | W | 10 credits | 3V + 2U | K. Ensslin | |
Abstract | The course provides an introduction to solid state physics, covering several topics that are later discussed in more detail in other more specialized lectures. The central topics are: solids and their lattice structures; interatomic bindings; lattice dynamics, electronic properties of insulators, metals, semiconductors, transport properties, magnetism, superconductivity. | |||||
Objective | Introduction to Solid State Physics. | |||||
Content | The course provides an introduction to solid state physics, covering several topics that are later discussed in more detail in other more specialized lectures. The central topics are: solids and their lattice structures; interatomic bindings; lattice dynamics, thermal properties of insulators; metals (classical and quantum mechanical description of electronic states, thermal and transport properties of metals); semiconductors (bandstructure and n/p-type doping); magnetism, superconductivity. | |||||
Lecture notes | The script will be available on moodle. | |||||
Literature | Ibach & Lüth, Festkörperphysik C. Kittel, Festkörperphysik Ashcroft & Mermin, Festkörperphysik W. Känzig, Kondensierte Materie | |||||
Prerequisites / Notice | Voraussetzungen: Physik I, II, III wünschenswert | |||||
Core Courses in Theoretical Physics | ||||||
Number | Title | Type | ECTS | Hours | Lecturers | |
402-0205-00L | Quantum Mechanics I | W | 10 credits | 3V + 2U | G. Blatter | |
Abstract | Introduction to quantum theory: wave mechanics, Schroedinger equation, angular momentum, central force problems, potential scattering, spin. General structure: Hilbert space, states, obervables, equation of motion, density matrix, symmetries, Heisenberg- and interaction picture, approximate methods: perturbation theory, variational approach, quasi-classics. | |||||
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 | Starting from Feynman's path-integral formulation, we develop the operator technique and introduce Dirac's notation. Quantum phenomena are developed by way of example for one-dimensional single particle problems (bound states, tunneling, scattering problems, resonances, periodic and disordered potentials). We introduce rotations and angular momenta and proceed with central symmetric problems, three dimensional scattering theory, spin, and the addition of angular momenta/spin. Various pictures (Schroedinger-, Heisenberg-, Dirac-) are explained and approximative methods such as variational techniques, perturbation theory, and quasi-classical formalism are introduced. | |||||
Lecture notes | Auf Moodle, in deutscher Sprache | |||||
Literature | G. Baim, Lectures on Quantum Mechanics E. Merzbacher, Quantum Mechanics L.I. Schiff, Quantum Mechanics R. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals J.J. Sakurai: Modern Quantum Mechanics A. Messiah: Quantum Mechanics I S. Weinberg: Lectures on Quantum Mechanics | |||||
Practical Courses (Programme Regulations 2016) | ||||||
Number | Title | Type | ECTS | Hours | Lecturers | |
402-0000-01L | Physics Lab 1 | O | 5 credits | 1V + 4P | A. Eichler, M. Kroner | |
Abstract | Introductory lab course in experimental physics with accompanying lecture | |||||
Objective | Übergeordnetes Thema des Praktikums und der Vorlesung ist die Auseinandersetzung mit den grundlegenden Herausforderungen eines physikalischen Experimentes. Am Beispiel einfacher experimenteller Aufbauten und Aufgaben stehen vor allem folgende Gesichtspunkte im Vordergrund: - Motivation und Herangehensweise in der Experimentalphysik - Praktischer Aufbau von Experimenten und grundlegende Kenntnisse von Messmethoden und Instrumenten - Einführung in relevante statistische Methoden der Datenauswertung und Fehleranalyse - Kritische Beurteilung und Interpretation der Beobachtungen und Ergebnisse - Darstellen und Kommunizieren der Ergebnisse mit Graphiken und Text - Ethische Aspekte der experimentellen Forschung und wissenschaftlicher Kommunikation | |||||
Content | Versuche zu Themen aus den Bereichen der Mechanik, Optik, Wärme, Elektrizität und Kernphysik mit begleitender Vorlesung zur Vertiefung des Verständnisses der Datenanalyse und Interpretation | |||||
Lecture notes | Anleitung zum Physikalischen Praktikum; Vorlesungsskript | |||||
Prerequisites / Notice | Aus einer Liste von 33 Versuchen müssen 9 Versuche in Zweiergruppen durchgeführt werden. Am ersten Termin findet nur eine dreistündige Einführungsveranstaltung im Hörsaal statt und es werden noch keine Experimente durchgeführt. | |||||
402-0000-09L | Physics Lab 3 Only for Physics BSc (Programme Regulations 2016) resp. Interdisciplinary Sciences BSc (Physical-Chemical Direction) | O | 7 credits | 1V + 1U + 13P | M. Donegà, S. Gvasaliya | |
Abstract | This laboratory course provides basic training of experimental skills. These are experimental design, implementation, measurement, data analysis and interpretation, as well as error analysis. The experimental work has to be complemented by a concise written report, which trains the scientific writing skills. Manuals for the individual experiments are available in English. | |||||
Objective | Students learn to independently perform advanced experiments and document them scientifically correct. Students are required to attend the safety lecture on the first day of the course and sign an "Attendance confirmation sheet". Students will be asked to present their sheet to access the laboratory rooms and perform the experiments. The following aspects are emphasized: - understanding complicated physical phenomena - structured approach to experiments with complex instruments - various practical aspects of experimenting and determining uncertainties - learning the relevant statistical methods for data analysis - interpretation of measurements and uncertainties - describing the experiments and the results in a scientifically proper manner, in direct analogy to publishing - ethical aspects of experimental research and scientific communication The experiments are complemented by a series of mandatory lectures covering the most important elements of statistics needed to correctly analyse the measured data. The main lectures topics are: - combinatorial calculus - probability distributions - error propagation - parameters estimation (least squares and likelihood fits) | |||||
Content | We offer experiments covering the following topics: Basic topics from mechanics, optics, thermodynamics, electromagnetism and electronics; as well as central topics from nuclear and particle physics, quantum electronics, quantum mechanics, solid state physics and astrophysics. | |||||
Lecture notes | Instructions for experiments are available in English. | |||||
Prerequisites / Notice | From a variety of over 50 experiments, students have to perform 4 experiments covering different topics. The experimental work is complemented by writing a scientific report. | |||||
Practical Courses (Programme Regulations 2010) | ||||||
Number | Title | Type | ECTS | Hours | Lecturers | |
402-0000-01L | Physics Lab 1 | O | 5 credits | 1V + 4P | A. Eichler, M. Kroner | |
Abstract | Introductory lab course in experimental physics with accompanying lecture | |||||
Objective | Übergeordnetes Thema des Praktikums und der Vorlesung ist die Auseinandersetzung mit den grundlegenden Herausforderungen eines physikalischen Experimentes. Am Beispiel einfacher experimenteller Aufbauten und Aufgaben stehen vor allem folgende Gesichtspunkte im Vordergrund: - Motivation und Herangehensweise in der Experimentalphysik - Praktischer Aufbau von Experimenten und grundlegende Kenntnisse von Messmethoden und Instrumenten - Einführung in relevante statistische Methoden der Datenauswertung und Fehleranalyse - Kritische Beurteilung und Interpretation der Beobachtungen und Ergebnisse - Darstellen und Kommunizieren der Ergebnisse mit Graphiken und Text - Ethische Aspekte der experimentellen Forschung und wissenschaftlicher Kommunikation | |||||
Content | Versuche zu Themen aus den Bereichen der Mechanik, Optik, Wärme, Elektrizität und Kernphysik mit begleitender Vorlesung zur Vertiefung des Verständnisses der Datenanalyse und Interpretation | |||||
Lecture notes | Anleitung zum Physikalischen Praktikum; Vorlesungsskript | |||||
Prerequisites / Notice | Aus einer Liste von 33 Versuchen müssen 9 Versuche in Zweiergruppen durchgeführt werden. Am ersten Termin findet nur eine dreistündige Einführungsveranstaltung im Hörsaal statt und es werden noch keine Experimente durchgeführt. | |||||
402-0241-00L | Advanced Physics Laboratory I IMPORTANT: You may not enrol repeatedly in the course of the Bachelor programme. | O | 9 credits | 1V + 1U + 17P | M. Donegà, S. Gvasaliya | |
Abstract | This laboratory course provides basic training of experimental skills. These are experimental design, implementation, measurement, data analysis and interpretation, as well as error analysis. The experimental work has to be complemented by a concise written report, which trains the scientific writing skills. Manuals for the individual experiments are available in English. | |||||
Objective | Students learn to independently perform advanced experiments and document them scientifically correct. The following aspects are emphasized: - understanding complicated physical phenomena - structured approach to experiments with complex instruments - various practical aspects of experimenting and determining uncertainties - learning the relevant statistical methods for data analysis - interpretation of measurements and uncertainties - describing the experiments and the results in a scientifically proper manner, in direct analogy to publishing - ethical aspects of experimental research and scientific communication The experiments are complemented by a series of mandatory lectures covering the most important elements of statistics needed to correctly analyse the measured data. The main lectures topics are: - combinatorial calculus - probability distributions - error propagation - parameters estimation (least squares and likelihood fits) | |||||
Content | We offer experiments covering the following topics: Basic topics from mechanics, optics, thermodynamics, electromagnetism and electronics; as well as central topics from nuclear and particle physics, quantum electronics, quantum mechanics, solid state physics and astrophysics. | |||||
Lecture notes | Instructions for experiments are available in English. | |||||
Prerequisites / Notice | From a variety of over 50 experiments, students have to perform 4 experiments covering different topics. The experimental work is complemented by writing a scientific report. |
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