“…However, both these approaches have fundamental disadvantages, since anharmonicity effects are taken into account phenomenologically. Recently, excitation spectra in fluids have become of great interest in context of studies concerning the thermodynamics and collective dynamics of fluids 8,26,32–62 , and, in particular, crossover from fluid- to gas-like collective dynamics (Frenkel line) 8,32,34–41,47,48,50–53,56,58 and in the framework of inelastic X-ray or neutron scattering experiments 63–76 . Note that these experiments have already revealed a problem of mixing of longitudinal and transverse modes, which plays an important role in a proper analysis of excitation spectra as will be shown below.…”