. "Particle Physics"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . "Astroparticle physics"@en . . "5" . "Introduction (The standard model (SM) of elementary particles. Fermions and bosons in SM.\nUnits in astrophysics and elementary particle physics. Natural units.) Lagrange formalism\n(Introduction. Classical fields. Lagrangian for scalar fields. Conserved quantities from the\nLagrange function. Lorentz-Transformation. Invariance under global gauge transformations.\nNoether’s theorem.) Quantized fields (Spinor fields and Dirac equation. Scalar field and Klein-\nGordon equation. Quantization of the scalar field. Vector fields and quantum\nelectrodynamics: the classical electromagnetic field, lagrangian of the electromagnetic field,\nquantization of the electromagnetic field. The evolution operator. Wick’s Theorem. Feynman’s\ndiagrams. Mott and Rutherford cross-section. The phenomenology of weak interactions.\nLifetime of the neutron and beta-decays. Neutral interactions. Neutrino-electron interaction.\nHiggs mechanism of electroweak symmetry breaking.) Thermal evolution of the Universe\n(Physics at lepton era: a recourse in thermodynamics, thermodynamics of ultra-relativistic\nand non-relativistic gases, particle-antiparticle annihilation and neutrino decoupling.\nNucleosynthesis. Recombination: helium-recombination, hydrogen-recombination.) Cosmic\nrays (Primary cosmic rays. Secondary cosmic rays. X-rays and γ-rays. The abundances of\ncosmic rays. Ultra-high energy cosmic rays. Particle acceleration mechanisms. Interaction\nwith CMB radiation.) Supernovae and neutron stars (Stellar evolution and supernova\nprogenitors. Collapse phase. Neutrino emission. Nucleosynthesis in supernovae. Neutron\nstars as laboratories for particle physics. Structure of neutron stars: Equation of state and\ngravitational equilibrium. Neutrino cooling of neutron stars. Axion cooling of neutron stars.\nPhysics of neutron star magnetosphere: composition, particle acceleration, synchrotron\nemission.) Neutrino physics (Neutrino interactions with matter, cross-section. Neutrino\nmasses. Solar neutrinos. Supernova neutrinos. Neutrino oscillations and propagation through\nmatter. Atmospheric neutrinos. Neutrino telescopes, Cherenkov effect in water and ice.\nSources of high-energy neutrinos.)" . . "Presential"@en . "TRUE" . . "Master in Astrophysics"@en . . "https://international.uni.wroc.pl/en/admission-full-degree-studies/programmes-english/astrophysics" . "no data" . "Presential"@en . "The program comprises only a few mandatory courses that acquaint you with general foundations of astrophysics, necessary computer simulation tools and data analysis methods, as well as selected observational techniques. This is supplemented by a wide range of elective courses enabling you to deepen your knowledge and skills according to your scientific interest. You can follow astronomy- or physics-oriented study track that will prepare you for the Master project held in the Astronomical Institute or the Institute of Theoretical Physics, respectively.\nIn the course of becoming an educated astrophysicist, you will gain expertize in mathematical modeling, computer simulations and advanced data analysis. You will also develop universal research competencies, including analytical and critical thinking, rigorous evidence-based reasoning, creativity and complex problem solving, active learning, as well as communication and teamwork skills."@en . . . . "2"@en . "TRUE" . . "Master"@en . "no data" . "1000.00" . "Euro"@en . "2150" . "no data" . "The modern job market awaits people with your competencies! Upon graduation, you will be capable of working in academy, R&D institutes and centers of education, as well as in various knowledge-based economy branches, including ICT, high-tech industry or financial institutions. However, you will be particularly well-prepared to undertake PhD studies and continue scientific career."@en . "no data" . "TRUE" . "Upstream"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .