Channeling effect and radiation of charged particles in doping superlattice quantum well

The channeling effect and radiation of charged particles in the superlattice quantum well are predicted. The motion behaviors of a charged particle in the superlattice quantum well are described by using sine-squared potential. In the frame of the classical mechanics the motion equation of a particle is reduced to the pendulum equation by using the sine-squared potential. The solution of the equation and the period of the particle motion are expressed exactly by means of Jacobian elliptic function and elliptic integral. The radiation energy and radiation intensity of the charged particles are derived。The results show that the radiation energy entered the X-energy zone for a particle with an energy of 100 MeV. It is possible to take the radiation as an X-Laser or a γ-laser.