The form factor of a hollow electron beam for transition radiation has been calculated. It shown that the characteristics coherent are significantly different conventional solid and beams. Numerical estimates have obtained terahertz frequencies relativistic energies el-ectrons.

The quantum chaos is related to a Gaussian random matrix model, which shows dip-ramp-plateau behavior in the spectral form factor for large size $N$. of time dependent model also with rounding instead kink near Heisenberg time. This converted two made $M_1$ and $M_2$. numerical evaluation finite $N$ analytic expression are compared factor.