On peculiarities of excitation spectrum and anomalies of properties at moderate low temperatures in glasses

Spectrum of low-energy excitations in anharmonic atomic local potentials characteristic of glasses contains both tunneling states with energies $\text{?<?}{}_{\mathrm{?}}\text{?ω}$ and quasilocal vibrations with ??ω(?10?30K, w being a typical energy. A narrow peak of the spectrum density of states at $\text{??ω}$ is associated with a singularity corresponding to critical points of the spectrum. The vibrations can give rise to anomalies in thermal and other properties of glasses observed at moderate low T (1K < T ? w). Both these anomalies and the well-known anomalies at T <~ 1K can be described coherently in the frame of an unified approach. The theory also is able to predict some other anomalies in glasses, e.g. a peak of neutron inelastic scattering with ernergy transfer～ω.