Laser Cooling and Atom Trapping I this talk I outline the physical principles that allow us to cool down = a gas with laser light that is slightly detuned from a resonance of the atoms in the gas. I explain how atoms between two counterpropagating = laser beams are subject to a force that can be described as a = 'frictional force'. A brief derivation of a formula for this force will be given. In practice it makes often sense to confine atoms to a = specified region, this can be done by the application of magnetic fields = where one makes use of the=20 Zeeman-effect. My talk will finish with a sketch of 'Sisyphus Cooling', which explains = why atoms in electromagnetic fields with a periodic change of = polarization lose kinetic energy.=20