“…It was extensively studied in the context of relativistic particle acceleration: in the 40-ies by McMillan [5], Veksler [6] and Bohm and Foldy [7,8], and more recently [9][10][11][12]. Additional applications include a quasiclassical scheme of excitation of atoms [13] and molecules [14], excitation of nonlinear waves [15,16], solitons [17,18], vortices [19,20] and other collective modes [21] in fluids and plasmas, an autoresonant mechanism of transition to chaos in Hamiltonian systems [22,23], etc.…”