Introduction to Lie operators for accelerator physics

The Lie operators approach is a powerful method to solve complicated problems in different fields of physics. The author and his colleagues applied and improved this approach for calculations of spin motion in beamlines, accelerators, and colliders. The code SpinLie allows one to calculate the level of equilibrium polarization for electron and proton colliders and allows one to investigate the spin resonances during acceleration, colliding, and so on.