Modules

72 results

Specialisation Modules72

Advanced Earth System Modeling and Continental HydrologyNo ratings for this module yet.You will learn how Earth cover components and their interactions are represented and coupled in modern Earth system models. You will also learn how satellite hydrogeodesy (in particular radar altimetry and other space-based techniques) is used to observe continental water bodies and to calibrate hydrological models. In the end you will be able to critically evaluate models and observations and derive water levels, sea volumes and discharge from altimetry data.5 ECTSruns this semesterED110153Allgemeine Relativitätstheorie und KosmologieNo ratings for this module yet.You will learn the fundamentals of general relativity and its application in astrophysics and cosmology. You understand how spacetime curvature generates gravity, you will become familiar with the Schwarzschild solution and black holes, you will engage with gravitational waves and the basics of modern cosmology.10 ECTSruns this semesterPH2043Computergestützte MaterialphysikNo ratings for this module yet.You will learn modern theoretical and computer-based methods for calculating material properties from atomic structure. The module covers the fundamentals and applications of density functional theory, ab-initio molecular dynamics, transport theories and machine-learning methods, so that you can assess their possibilities and limitations and perform simple calculations independently.10 ECTSruns this semesterNAT3031Differential GeometryNo ratings for this module yet.You learn the basics of smooth manifolds, bundles (tangent, vector, and principal bundles) as well as Riemannian metrics, curvature tensors and geodesics. In addition, symmetric spaces and Lie groups are treated. In the end you can transfer metric properties of Euclidean space to 'curved' spaces and derive properties of such spaces using analytical methods.9 ECTSruns this semesterMA3205Fortgeschrittene statistische PhysikNo ratings for this module yet.You deal with phase transitions, critical phenomena and their theoretical descriptions (Landau-Ginzburg, renormalization group). You also learn the basics of irreversible and non-equilibrium processes as well as percolation theory. In the end you will be able to interpret critical exponents and apply renormalization group methods to concrete models.10 ECTSruns this semesterNAT3002
67 more in Specialisation ModulesGravitationslinseneffektNo ratings for this module yet.You will learn the physical foundations of gravitational lensing and how light is deflected by gravity of stars, galaxies and galaxy clusters. In the end you will be able to describe lensing effects, apply them as an observational and analytical tool, and, for example, determine masses of galaxies as well as address questions related to dark matter and cosmology.5 ECTSruns this semesterPH2242Kausale Inferenz im Klima- und ErdsystemNo ratings for this module yet.You learn how to derive causal relationships from data in the climate and earth system, which methods exist for this purpose and what their limits are. In the end you will be able to compare different correlation- and causality-based approaches, assess their assumptions and apply methods to questions of the earth system.3 ECTSruns this semesterED110089Kipppunkte in der Dynamik des ErdsystemsNo ratings for this module yet.You will learn how nonlinear and abrupt behavior in the Earth system is described and analyzed. You will receive methodological foundations for mathematical modeling of nonlinear dynamics and will become familiar with typical multistable components of the Earth system as well as their interactions.3 ECTSruns this semesterED110066KontinuumsmechanikNo ratings for this module yet.The module conveys the fundamentals of continuum mechanics for fluids and elastic media. You will learn kinematics and balance equations, central principles of hydrodynamics (e.g., viscosity, Bernoulli, Reynolds number, waves) as well as the fundamentals of linear elasticity and propagation of elastic waves. In the end you will be able to calculate relevant field quantities and describe basic flow and deformation phenomena.10 ECTSruns this semesterPH1007Kosmologie und StrukturbildungNo ratings for this module yet.You will learn the fundamentals of modern cosmology: how the Universe evolves within the Friedmann-Robertson-Walker metric, how density fluctuations arise and grow, and how these processes shape the cosmic microwave background (CMB). By the end you will be able to solve the Friedmann equations, calculate the formation and evolution of structures, and compare theoretical predictions (e.g., about inflation) with observations.10 ECTSruns this semesterPH2248Large DeviationsNo ratings for this module yet.You will learn the theory of large deviations, which describes how unlikely events occur in probability models and how quickly their probabilities decay. In the end you will be able to apply fundamental techniques of large-deviation theory and understand applications such as for sums of random variables and empirical distributions.5 ECTSruns this semesterMA5417Maschinelles Lernen in der ErdsystemmodellierungNo ratings for this module yet.You will learn data-driven and process-based approaches to modeling the Earth system and its components. In the end you will be able to name classical process-based models and various machine-learning methods for describing Earth system dynamics, apply interpretable AI methods, and critically evaluate approaches that combine process- and data-driven models.3 ECTSruns this semesterED110065Mathematik der Klima- und ErdsystemwissenschaftenNo ratings for this module yet.You will learn mathematical methods for the analysis and modeling of nonlinear processes in the climate and Earth system. In the end you will be able to explain the basics of energy balance modeling, nonlinear and stochastic dynamics as well as fundamental equations of fluid mechanics, and mathematically analyze time series from climate and Earth system processes.9 ECTSruns this semesterED110088Nichtlineare Dynamik und komplexe Systeme 1No ratings for this module yet.You learn the fundamental concepts of nonlinear dynamical systems: how cooperative phenomena such as bistability, self-sustained oscillations, and deterministic chaos arise from nonlinearities. In the end you will be able to perform phase-space analyses, describe stability and bifurcations, and characterize simple chaotic attractors with suitable measures.5 ECTSruns this semesterPH2027Nichtrelativistische effektive Feldtheorien bei null und endlicher TemperaturNo ratings for this module yet.The module conveys effective field theories for nonrelativistic bound systems and their behavior at zero and finite temperature. You will learn how to systematically obtain quantum-mechanical descriptions from the underlying quantum field theory and calculate observables such as spectra, transitions and decay rates as well as the development of bound states in hot media.10 ECTSruns this semesterPH2302Probability TheoryNo ratings for this module yet.You will learn the measure-theoretic probability theory for sequences of random variables and martingales. By the end you will be able to understand and apply central results such as the law of large numbers, central limit theorems, and fundamental martingale results.9 ECTSruns this semesterMA2409Quanten-VielteilchenphysikNo ratings for this module yet.You will learn the theoretical foundations of quantum many-body physics, common methods and typical phenomena. In the end, you can apply these methods computationally and explain the phenomena discussed at the level of the presented models.10 ECTSruns this semesterPH2256QuantenfeldtheorieNo ratings for this module yet.You will learn the fundamental concepts and calculation methods of quantum field theory: path integrals, perturbation theory and Feynman diagrams, Green's functions and their connection to scattering cross sections, as well as renormalization and effective field theories. In the end you will be able to perform perturbative calculations including loop corrections, quantize gauge theories and use the renormalization group to improve perturbative computations.10 ECTSruns this semesterPH2041Quantenmechanik 2No ratings for this module yet.You deepen concepts of quantum mechanics beyond the nonrelativistic single-particle description: path integrals, open quantum systems, second quantization, identical particles as well as relativistic single-particle equations (Klein–Gordon, Dirac) and their applications (e.g. hydrogen spectrum). In the end you will be able to apply these formalisms, describe quantized fields and solve simple problems such as the open two-state system or the Dirac equation in a central potential.5 ECTSruns this semesterNAT3001Rechnergestützte Physik 1No ratings for this module yet.You learn basic numerical methods for solving ordinary and simple partial differential equations as well as related techniques of numerical mathematics (integration, differentiation, equation solvers, linear algebra, data fitting). In the end you will be able to implement these methods in various programming languages, classify differential equations and formulate and numerically solve suitable differential equations for physical problems.5 ECTSruns this semesterPH2057Theoretische FestkörperphysikNo ratings for this module yet.You receive a compact introduction to theoretical solid-state physics: from symmetries and crystal structures through lattice vibrations and electronic conduction to interacting electron systems. In the end you will be able to mathematically describe and calculate simple models for the structure, dynamics, and phase transitions of condensed matter.10 ECTSruns this semesterPH1001Wesentliche Konzepte in der theoretischen BiophysikNo ratings for this module yet.5 ECTSruns this semesterNAT3004Algebraic GeometryNo ratings for this module yet.You will learn central terms and techniques of algebraic geometry: dimension theory of schemes, products of schemes, separated and genuine morphisms, coherent sheaves as well as differentials and smoothness. In the end you will be able to apply these algebraic and geometric concepts to fundamental questions of algebraic geometry.9 ECTSno date this semesterMA5107Angewandte QuantenmechanikNo ratings for this module yet.This module covers applied quantum mechanics with a focus on fundamentals and applications in quantum information. By the end of the module you will be able to understand the central concepts of quantum mechanics and apply them to problems of quantum computation and information.5 ECTSno date this semesterPH2205Bordisms and Topological Field TheoriesNo ratings for this module yet.You will learn the theory of bordisms (Cobordisms) and their algebraic structures as well as the formulation of topological field theories as functors according to Atiyah and Segal. In the end you will be able to justify basic results, compute bordism rings, and follow and understand the connections to topological field theories as well as simple examples.6 ECTSno date this semesterMA5133Computerbasierte MaterialphysikNo ratings for this module yet.You learn modern theoretical methods of computer-based materials physics and how to apply them. The focus is on density functional theory and ab initio molecular dynamics for the microscopic description of physical and chemical properties of real materials. In the end you can assess the fundamentals, possibilities and limitations of these methods and independently perform and interpret simple calculations on material systems.5 ECTSno date this semesterPH2289Computergestützte Methoden in der VielteilchenphysikNo ratings for this module yet.You will learn computer-based methods for investigating many-particle systems, from numerical algorithms to machine learning techniques. In the end you will be able to apply typical algorithms and understand and assess the underlying concepts.10 ECTSno date this semesterPH2264Concentration of MeasureNo ratings for this module yet.You will learn fundamental inequalities and techniques of Concentration of Measure (e.g., Chernoff, Hoeffding, Bernstein inequalities, isoperimetry, Johnson–Lindenstrauss, Martingale methods, Poincaré and Gromov–Milman theorems). In the end you will be able to understand these inequalities and apply them to simple examples from applications.5 ECTSno date this semesterCIT4100004Effektive FeldtheorienNo ratings for this module yet.You deal with effective field theories. At the end you will be able to apply and explain the competencies described in the learning objectives at the indicated level of knowledge in a nachvollziehbar manner.10 ECTSno date this semesterPH2122Einführung in die FlavorphysikNo ratings for this module yet.5 ECTSno date this semesterPH2268Einführung in die QuantenfeldtheorieNo ratings for this module yet.You will learn the fundamentals of quantum field theory. In the end you will be able to understand basic concepts and methods of the theory and apply them to simple understanding questions and example problems.10 ECTSno date this semesterPH2113ErdsystemmodellierungNo ratings for this module yet.You deepen your methods of Earth system modelling and learn how the atmosphere, oceans, biosphere and cryosphere are simulated together. You acquire the ability to develop simple to complex climate and Earth system models, to understand nonlinear feedbacks, and to validate models with observational data. In the end you can select suitable Earth system models for specific questions and critically evaluate their results.5 ECTSno date this semesterED110011Farbige Schleifen: Einführung in die Quantenchromodynamik und SchleifenrechnungenNo ratings for this module yet.You will receive an introduction to quantum chromodynamics (QCD) and calculations with loop integrals. At the end you will be able to understand basic concepts of QCD and qualitatively and computationally reproduce simple loop calculations as well as related divergence structures and physical consequences.5 ECTSno date this semesterPH2267Feldtheoretische Methoden in der Physik kondensierter MaterieNo ratings for this module yet.You learn field-theoretical methods and paradigms that are central to modern solid-state physics. In the end you will be able to apply field theory techniques to problems in condensed matter and you will understand the physics of Fermi liquids, one-dimensional Luttinger liquids, superconductors/superfluids, and quantum Hall liquids.5 ECTSno date this semesterPH2244Fortgeschrittene Methoden in der Quanten-VielteilchenphysikNo ratings for this module yet.In this module you will learn advanced theoretical methods of quantum many-body physics. By the end you will be able to apply and assess central techniques for exactly solvable models, topological phases, and quantum-dynamic representations.10 ECTSno date this semesterPH2297Fortgeschrittene Methoden in der Theorie von StreuamplitudenNo ratings for this module yet.In this module you will learn advanced methods of the theory of wave amplitudes. By the end you will be able to apply the theoretical techniques covered to problems in wave amplitude theory.5 ECTSno date this semesterPH2320Fortgeschrittene QuantenfeldtheorieNo ratings for this module yet.You deal with advanced methods of quantum field theory: unitarity, renormalization of non-abelian gauge theories, infrared divergences, effective actions, spontaneous symmetry breaking and anomalies, as well as quantized spin-1 and spin-2 fields. In the end you can apply these concepts and calculation methods, e.g. to compute scattering processes, loop corrections and effective field theories.10 ECTSno date this semesterPH2185Fourier- und Laplace-TransformationNo ratings for this module yet.You learn the theory and applications of Fourier and Laplace transforms: Fourier series, Fourier analysis (integral transform), Gabor transform and Laplace transform. In the end you can understand the interaction between a function and its Fourier transform and use it for optimized approximations.9 ECTSno date this semesterMA5039Gruppentheorie in der PhysikNo ratings for this module yet.You receive an introduction to group theory with a focus on applications in particle physics. By the end you will be able to apply central concepts and statements of group theory, classify representations of SU(2), SU(3) and the Lorentz group, and construct character tables and weight diagrams.10 ECTSno date this semesterPH2116Markov ProcessesNo ratings for this module yet.You will learn theory and methods of continuous-time Markov processes: continuous-time Markov chains, the Markov property, Feller processes as well as properties of transition semigroups and their generators. In the end you can analyze the long-term behavior of processes, apply ergodic theorems and use them in examples (e.g. queueing theory, interacting particle systems, time series).9 ECTSno date this semesterMA4408Mathematical Foundations of Machine LearningNo ratings for this module yet.You will learn the mathematical foundations of modern machine learning methods: structure, learning algorithms and approximation properties of neural networks, theory and application of kernel methods in reproducing kernel Hilbert spaces as well as qualitative aspects such as loss functions, risk and complexity questions. By the end you will be able to construct networks, discuss their approximation properties, apply kernel methods and assess the statistical efficiency of procedures.6 ECTSno date this semesterMA4801Mathematical Introduction to Quantum Information ProcessingNo ratings for this module yet.You will learn the mathematical foundations of quantum information theory. The module covers abstract foundations of quantum mechanics, measurement and development theory, quantum statistics and tomography, as well as fundamental concepts regarding limits and resources of quantum information processing.9 ECTSno date this semesterMA5057Modellierung und Maschinelles Lernen von dynamischen SystemenNo ratings for this module yet.You will learn to use the Julia programming language for the analysis and simulation of nonlinear and chaotic dynamical systems. In the end you can implement simple nonlinear models in Julia, analyze time series of dynamical systems, and apply data-driven modeling approaches — with examples from Earth system and climate modeling.5 ECTSno date this semesterED110068Nichtgleichgewichtsdynamik von QuantenvielteilchensystemenNo ratings for this module yet.10 ECTSno date this semesterNAT3038Nichtlineare Dynamik und komplexe Systeme 2No ratings for this module yet.You will learn how self-organization and pattern formation in spatially extended, dissipative systems can be described mathematically. The focus areas are reaction–diffusion systems (waves, pulses, spiral waves, Turing structures) and coupled oscillators (Kuramoto transition, complex Ginzburg–Landau equation) as well as the simulation and classification of the resulting patterns.5 ECTSno date this semesterPH2028Operator TheoryNo ratings for this module yet.You will learn the fundamentals of spectral theory of operators, in particular spectra of operators, spectral theory for normal operators and functional calculus for different classes of operators. In the end you will be able to analyze and apply these tools to integral and differential operators.9 ECTSno date this semesterMA5012Partielle DifferentialgleichungenNo ratings for this module yet.In this module you will learn fundamental methods for the treatment of partial differential equations (PDEs). You will deal with classical representations of solutions for transport, Laplace, heat and wave equations, with conservation laws, Sobolev spaces, and with weak (variational) solutions of elliptic equations and their properties such as existence, uniqueness and regularity.9 ECTSno date this semesterMA3005Physik jenseits des StandardmodellsNo ratings for this module yet.You deal with physical concepts and questions that go beyond the standard model. In the end you will be able to understand these approaches and work on typical example problems.10 ECTSno date this semesterPH2261Physikalische Prinzipien in biologischen SystemenNo ratings for this module yet.You engage with physical principles that play a role in biological systems. In the end you can explain these fundamentals and apply them to example problems.10 ECTSno date this semesterPH2240Quantenfehlerkorrektur und Fehlertoleranz für Computing und KommunikationNo ratings for this module yet.10 ECTSno date this semesterNAT3045Quantenfeldtheorie in gekrümmter RaumzeitNo ratings for this module yet.The module covers fundamentals and applications of quantum field theory in curved spacetime. You will learn to understand physical effects such as, for example, Hawking radiation, and to apply the corresponding calculations and concepts.10 ECTSno date this semesterPH2156QuanteninformationNo ratings for this module yet.The module covers fundamentals of quantum information. You will learn concepts and methods of quantum computation and quantum information theory and will be able to apply basic principles and formalisms of quantum information after completion.5 ECTSno date this semesterPH2237Quanteninformationsmethoden in der VielteilchenphysikNo ratings for this module yet.You engage with quantum mechanical many-body systems and learn how their physical properties arise from quantum correlations (entanglement). A focus is tensor network states such as Matrix Product States and Projected Entangled Pair States, with which you can describe states and numerically vary them. In the end you can construct MPS, build variational algorithms on top of them and understand fundamental phenomena such as topological order and symmetry-protected phases.5 ECTSno date this semesterPH2269QuantenmagnetisumsNo ratings for this module yet.You deal with theoretical aspects of quantum magnetism. In the end you will be able to explain central concepts such as parton descriptions of quantum magnetic states, quantum order by disorder, and the SDW phase picture of the half-filled Hubbard model along with the associated excitations.10 ECTSno date this semesterPH2310Quantenmechanik molekularer SystemeNo ratings for this module yet.In the module you will learn to apply quantum mechanical models to molecular systems to describe states and transitions. By the end you will be able to analyze, for example, pi-electron systems, harmonic and anharmonic vibrations, Born–Oppenheimer separation, as well as simple many-electron descriptions and transition rates for optical processes.5 ECTSno date this semesterPH2165Quantentransport: Theorie und BerechnungNo ratings for this module yet.You will receive an introduction to modern theoretical methods for computer-based calculation of transport properties in materials and nanostructures. The focus is on electric charge transport and heat transport (phonons). In the end you will be able to understand the fundamentals of the theories and methods used, reproduce their application to simple systems, and interpret results.5 ECTSno date this semesterPH2294Rechnergestützte Physik 2No ratings for this module yet.You will learn advanced numerical methods for classical and quantum mechanical problems. Topics range from random numbers, Fourier transforms and Monte Carlo techniques to nonlinear systems, chaos theory and fractals up to finite elements, wavelets, neural networks and fundamentals of lattice gauge theory. By the end you will be able to formulate such models numerically, implement them and assess them.5 ECTSno date this semesterPH2090Relativität, Teilchen und FelderNo ratings for this module yet.You learn the foundations of special relativity and the field theory from the Lagrangian density to quantization. In the end you can quantize free and interacting fields, derive Feynman diagrams and rules, and calculate simple cross sections and decay rates.10 ECTSno date this semesterPH2040Resurgence in Geometry and PhysicsNo ratings for this module yet.The module covers methods for the analysis of divergent asymptotic series, their Borel sums, and the associated Stokes data. You will learn techniques of resurgence, Borel summability and applications in exact WKB analysis, cluster algebras, as well as in various areas of geometry and theoretical physics.6 ECTSno date this semesterCIT413050Schwach wechselwirkende TeilchenNo ratings for this module yet.You engage with weakly interacting particles, in particular with the Fermi theory of the weak interaction and the properties of neutrinos. In the end you can explain fundamental concepts of neutrino masses, neutrino oscillations and models for generating neutrino masses, and classify selected advanced topics.5 ECTSno date this semesterPH2303Skaleneffekte, kritische Phänomene und die Renormierungsgruppe in Statistischer PhysikNo ratings for this module yet.The module covers scaling effects, critical phenomena, and the renormalization group in statistical physics. You will learn how approximations and concepts of the renormalization group explain the behavior of systems near phase transitions and how scaling laws and universality classes are derived.10 ECTSno date this semesterPH2292Statistical Inference for Dynamical SystemsNo ratings for this module yet.In this module you will learn how to model biological reaction networks with ordinary differential equations and how parameter values of these models can be reliably estimated from experimental data. You will acquire methods for parameter estimation (frequentist and Bayesian) as well as techniques for analyzing uncertainty and practicality of parameters and implement these in MATLAB.6 ECTSno date this semesterMA5612Statistische Physik im Nicht-GleichgewichtNo ratings for this module yet.The module covers the theory of non-equilibrium statistical physics. You will learn fundamental equations of motion, methods for their solution, relationships between response and correlation functions, as well as scaling solutions for transport coefficients and far-from-equilibrium spectra. In the end you will be able to apply these concepts and formulate central theorems for time-periodic (Floquet) systems with respect to the quasienergy spectrum.10 ECTSno date this semesterPH2229Stochastic AnalysisNo ratings for this module yet.You will learn the theory and fundamental applications of stochastic analysis. The focus is on Brownian motion (construction and properties), stochastic integrals and the Itô formula, as well as stochastic differential equations and methods such as Girsanov transformation and Donsker's invariance principle. In the end you will be able to formulate central statements and perform simple calculations with Itô integrals and SDEs.9 ECTSno date this semesterMA4405Streuamplituden in der QuantenfeldtheorieNo ratings for this module yet.You learn how scattering amplitudes are calculated and analyzed in quantum field theory. In the end you can calculate example tree-level amplitudes and discuss fundamental properties of one-loop Feynman integrals.5 ECTSno date this semesterPH2316SupersymmetrieNo ratings for this module yet.You learn the fundamentals and applications of supersymmetric theories in four and higher dimensions. The module conveys the supersymmetry algebra, superfields and superspace, supersymmetric Lagrangian densities and mechanisms of supersymmetry breaking, as well as an introduction to supergravity, the MSSM and concepts of extra dimensions and Kaluza-Klein compactification. In the end you will be able to access academic literature on supersymmetric extensions of the Standard Model and understand lectures in this field.5 ECTSno date this semesterPH2250Theoretische TeilchenphysikNo ratings for this module yet.In this module you will receive a structured overview of the Standard Model of particle physics and central current questions of field theory and phenomenology. In the end you will be able to describe the structure and symmetries of the Standard Model, calculate standard processes with Feynman rules up to one-loop corrections, and explain fundamental aspects of neutrino physics as well as possible extensions beyond the Standard Model.10 ECTSno date this semesterPH1005Theoretische Teilchenphysik im frühen UniversumNo ratings for this module yet.5 ECTSno date this semesterPH2298Theorie stochastischer ProzesseNo ratings for this module yet.You will learn the theory of stochastic processes and methods for their analysis. Using physical examples (predominantly from biophysics) you will acquire the tools to formulate, solve, and perform simple simulations of Master equations, Fokker-Planck, and Langevin equations, and to apply basic principles of stochastic thermodynamics.10 ECTSno date this semesterPH1006Topologie und neue Arten der Ordnung in der Physik der kondensierten MaterieNo ratings for this module yet.You will learn theoretical concepts and experimental signatures of topological phases in solid-state physics. In the end you will be able to distinguish phases by symmetry and topology, derive topological invariants from band structures, and understand important examples such as quantum Hall states, topological insulators and metals, as well as topological superconductors.10 ECTSno date this semesterPH2246TopologyNo ratings for this module yet.You learn the fundamentals of set-theoretic topology and algebraic topology. In the first part you analyze topological and metric spaces as well as concepts such as continuity, compactness and connectedness; in the second part you deal with homotopies, fundamental groups and singular homology. At the end of the module you can assess topological properties as well as determine fundamental groups and homology of simple spaces.9 ECTSno date this semesterMA3241Vielteilchenverschränkung und ihre AnwendungenNo ratings for this module yet.You learn fundamental concepts and applications of many-body entanglement. By the end you will be able to apply and explain the competencies described in the learning goals at the corresponding level of insight.10 ECTSno date this semesterNAT3024
9 more modules match, but they are taught in German. Show them(Effektive) Quantenfeldtheorie in gekrümmten RaumzeitenNo ratings for this module yet.Du beschäftigst dich mit Quantenfeldtheorie in gekrümmten Raumzeiten. Am Ende kannst Du Quanteneffekte in Gravitationsfeldern abschätzen und verstehst Phänomene wie die Hawking-Strahlung sowie die dazugehörigen Beispielrechnungen.10 ECTSno date this semesterNAT3047Fallstudien der mathematischen ModellbildungNo ratings for this module yet.In diesem Modul bearbeitest Du mehrere Fallstudien zur mathematischen Modellbildung aus verschiedenen Anwendungsfeldern (Natur-, Ingenieur-, Lebens- und Wirtschaftswissenschaften). Du lernst, konkrete Probleme zu modellieren, zu analysieren und die zugrundeliegenden theoretischen Grundlagen zu verstehen und anzuwenden.9 ECTSruns this semesterMA2902Fortgeschrittene Themen in der QFT: von nicht-perturbativen Phänomenen zu GravitationNo ratings for this module yet.Du beschäftigst dich mit nicht-perturbativen Effekten in der Quantenfeldtheorie (Solitonen, Instantons, Anomalien) und mit QFT in gekrümmten Raumzeiten (Unruh-, Hawking-Effekt, Entropie, Grundlagen der Quantenfeldtheorie in der Inflation). Am Ende kannst du die relevanten nicht-perturbativen Phänomene beschreiben und Modelle für Teilaspekte der QFT in starken Gravitationsfeldern aufbauen.10 ECTSno date this semesterNAT3005MarkovkettenNo ratings for this module yet.Du lernst Grundlagen und zentrale Eigenschaften diskreter Markovketten kennen: Übergangsmatrizen, Mehr-Schritt-Übergänge, Klasseneinteilung, Rekurrenz/Transienz sowie stationäre Verteilungen und Konvergenz- bzw. Ergodensätze. Am Ende kannst du Eigenschaften wie Irreduzibilität, Aperiodizität und Rekurrenz untersuchen und stationäre Verteilungen berechnen sowie die Konvergenz- und Ergodensätze anwenden.5 ECTSno date this semesterMA2404Quantenoptik 2No ratings for this module yet.Du beschäftigst dich mit zeitlichen Eigenschaften von Lichtpulsen, mit grundlegenden Aspekten nichtklassischer Photonenstatistik sowie mit linearen und nichtlinearen Strahleigenschaften in Laserresonatoren. Am Ende kannst du Methoden zur Erzeugung kurzer und ultrakurzer Pulse erklären, Rauscheigenschaften von Licht einordnen sowie grundlegende nichtlineare Optik-Effekte und ihre experimentellen Umsetzung beschreiben.5 ECTSno date this semesterPH2026Rechnergestützte Methoden in der molekularen EvolutionNo ratings for this module yet.3 ECTSno date this semesterPH2314Theoretische Methoden für QCD an CollidernNo ratings for this module yet.5 ECTSno date this semesterNAT3003Theorie offener QuantensystemeNo ratings for this module yet.In diesem Modul lernst Du die Theorie offener Quantensysteme kennen. Du kannst am Ende grundlegende Beschreibungsgleichungen für Systeme, die mit einer Umgebung wechselwirken, angeben und wichtige Unterschiede zwischen stochastischen Gleichungsformen erklären.5 ECTSruns this semesterNAT3023Vielteilchenphysik mit ultrakalten AtomenNo ratings for this module yet.Das Modul führt in die Grundkonzepte der Vielteilchenphysik am Beispiel ultrakalter Gase ein. Du lernst die wichtigsten theoretischen Modelle und experimentellen Konzepte für Bose-Einstein-Kondensation, optische Gitter sowie ultrakalte Fermionen kennen und kannst diese zur Beschreibung relevanter Phänomene anwenden.10 ECTSno date this semesterPH2287