Fluctuating collective oscillations and electric field penetration into superconductors

The spectrum of collective oscillations and the penetration of a constant longitudinal electric field into a superconductor are investigated based on microscopic Gor'kov equations integrated over the energy variable of one-particle excitations. The influence of the anharmonicity of collective oscillations upon the attenuation of these oscillations and upon the penetration of the longitudinal electric field into the superconductor has been studied as well. We investigate the problem of the self-attenuation of fluctuating collective oscillations in the vicinity of the critical temperature.