Modem collision theory of Rydberg atoms with neutral and charged parti
cles is;presented. Recent results on the excitation, ionization, quenc
hing and broadening of highly excited atomic states are reported. We c
onsider in detail a number of approaches: various versions of perturba
tion theory, classical and semiclassical methods, Fermi pseudopotentia
l model, impulse approximation and quasimolecular approach. Analytical
and numerical methods developed within the framework of these differe
nt approaches presented in this review give both the simple qualitativ
e description of elementary processes with Rydberg atoms and also reli
able quantitative results. Both quasielastic transitions with small en
ergy defect (l- and J-mixing processes) and the inelastic bound-bound
and bound-free transitions with large energy transfer (n-changing proc
esses, direct and associative ionization) are considered. In addition
to the traditional mechanism of the perturber-quasifree electron scatt
ering we analyze some efficient physical mechanisms due to the scatter
ing of the perturbing atom or molecule on the atomic care of Rydberg a
tom. Considerable attention is paid to the comparison of theoretical r
esults with available experimental data.