 AstrophysicsA ("Radiative Processes in Astrophysics")  6 e.c.
Content:
This course is mandatory for all astronomy students and provides a
solid basis for many advanced courses. Purpose of the course is to
provide insight into elementary radiation processes that play an
important role in astronomy.
Literature:
"Radiative Processes in Astrophysics" by Rybicki & Lightman (R&L)
Chapters 18.
The Topics covered in this course are:
 Thermal radiation (bremsstrahlung, black body radiation).
 Nonthermal radiation processes (synchrotron radiation, inverse
Compton radiation).
 Fundamentals of EM radiation and radiation transport.
 Polarization, propagation of EM radiation through a plasma.
Learning objective:
 Mathematical preliminaries (including Fourier transform).
 Fundamentals of radiative transfer: the radiative transfer
equation, optical depth, source function, black body radiation, the
second law of thermodynamics, Kirchhoff's law, and thermal radiation
 can discuss the thermodynamics of black body radiation, Einstein
coefficients for spontaneous emission, absorption, stimulated
emission.
 Theory of radiation fields: Lorentz force, Maxwell's equations,
EM waves, polarization, scalar potential and vector potential.
 Radiation from moving charges: LienardWiechart potentials,
beaming effect, Larmor's formula, the dipole approximation,
Thomson scattering.
 Relativistic covariance and kinematics: Lorentz transformation,
the aberration of light and the beaming effect, four
vectors. Covariance formulation of the special theory of relativity
and electromagnetism as a relativistic theory.
 Bremsstrahlung: freefree scattering in the small angle scattering
regime, Gaunt factor, thermal and nonthermal
bremsstrahlung.
 Synchrotron radiation: the total emitted power, observed pulses,
radiation from a powerlaw electron distribution, polarization of
synchrotron emission, synchrotron selfabsorption and stimulated
emission
 Compton Scattering: Compton wavelength, inverse
Compton scattering, the Compton
y parameter.
 Plasma effects: Maxwell
equations for a cold isotropic plasma, the plasma
frequency, the dispersion measureand and Faraday rotation.
 AstrophysicsB ("Quantum
Physics of Atoms and Molecules & Hydrodynamics")  6 e.c.
(Lectures PDF)
Content:
This course is mandatory for all astronomy students and provides a
solid basis for many advanced courses. The purpose of the course is to
complete the physical background that the student needs in the topics
that play an importnant role in astronomy. In practice the course
contains two unrelated parts, the first part is quantum physics of
atoms and molecules and the second is fluid mechanics.
Literature:
For the atomic quantum physics part the main book is:
"Radiative Processes in Astrophysics" by Rybicki & Lightman
Chapters 911.
Other books that are used in the lectures are: 1 "Introductory Quantum Mechnics" by R. Liboff &
2 "Quantum Mechnics", by L.I. Schiff
For the fluid dynamics part of the course the main book is:
"Fluis Mechanics" by Landau & Lifshitz
other books for this part are:
1 "A first course in fluid dynamics", by A.R. Paterson
The Topics covered in the first part of the course are:
 Atomic Structure (Central field approx., The Pauli principle,
HartreeFock approx., LS & spinorbit coupling, Zeeman effect and
hyperfine level splitting, the Saha equation).
 Radiative Transitions (Semiclassical theory, the Dipole approx.,
Einstein coefficients & oscilator strength, selection rules, line
broadening mechanisms, Voigt profile).
 Moleccular Structure (The bornOppenheimer approx., H_{2}^{+} ion & H_{2} molecule, rotational & vibrational spectra).
The Topics covered in the second part of the course are:
 Ideal fluids (the fluid approx., the continuity & Euler equations,
isentropic fluids, vorticity & its equation, Bernoulli's equation,
Kelvin's circulation theorem, hydrostatic fluids, incompressible
fluids, enegy & velocity fluxes, the momentum flux tensor)
 Viscous fluids (the NavierStokes equation, viscosity
coefficients, energy disppation in incompressible fluids, examples of
viscous flow, Reynolds number, similarity law)
 Turbulence ( [in]stability of steady flow, KelvinHelmholtz
instability, weak fully developed turbulence, Kolmogorov spectrum(.
 Sound waves (wave equation, sound speed, Mach number)
 Introduction to Supersonic Flow (Shock tube, RankineHugoniot
jump conditions, Rayleigh's line, Hugoniot curve, density, and
pressure ratios across a shock, shock speed).
