Abstract: We study the movement of a two-level atom in
interaction with time dependent nonuniform magnetic filed using the
path integral formalism. The propagator is first written in the standard
form by replacing the spin by a unit vector aligned along the polar and
azimuthal directions. Then it is determined exactly using perturbation
methods. Thus the Rabi formula of the system are deduced.
Abstract: We consider a spin-1/2 particle interacting with a time-dependent magnetic field using path integral formalism. The propagator is first of all written in the standard form replacing the spin by two fermionic oscillators via the Schwinger model. The propagator
is then exactly determined, thanks to a simple transformation, and the transition probability is deduced.