  In this paper we consider some (generalized) models which deal with n--level
atom interacting with a single radiation mode and study a general structure of
Rabi floppings of these generalized ones in the strong coupling regime.
  To solve these models we introduce multi cat states of Schr{\" o}dinger in
our terminology and extend the result in (quant--ph/0203135) which Rabi
frequencies are given by matrix elements of generalized coherent operators
(quant--ph/0202081) under the rotating--wave approximation. Our work is a full
generalization of Frasca (quant--ph/0111134) and Fujii (quant--ph/0203135).
  In last we make a brief comment on an application to Quantum Computation on
the space of qudits.
