Shock waves in the Tamm problem and the possibility of their experimental observation

The position of the singular electromagnetic shock waves arising in the smooth Tamm problem is found. They consist of the Cherenkov shock wave and shock waves arising when the charge velocity coincides with the velocity of light in medium. In the limit of small intervals of accelerated and decelerated motion they are not transformed into the singular electromagnetic shock waves of the original Tamm problem. The reasons for this and the relation of the arising electromagnetic shock waves to the experimental situation are discussed.