Quantum-mechanical approach to description of the possibility of the reinforcement of the radiation by means of continuum nanotubes

On base of the quantum approach is shown possibility of the pumping the ambience, consisting of nanotubes. Pumping is produced using non-stationary electric field perpendicular to axis of the symmetries nanotubes. The Problem dares on base of the theories free electron and models independent electron. The Mathematical modeling of the process is realized on base of the system of the material equations.