  Magnetic trapping is a cornerstone for modern ultracold physics and its
applications (e.g., quantum information processing, quantum metrology, quantum
optics, or high-resolution spectroscopies). Here a comprehensive analysis and
discussion of the basic physics behind the most commonly used magnetic traps in
Bose-Einstein condensation is presented. This analysis includes the quadrupole
trap, the time-averaged orbiting potential trap, and the Ioffe-Pritchard trap.
It is shown how the trapping conditions and efficiency of these devices can be
determined from simple derivations based on classical electromagnetism, even
though they operate on quantum objects.
