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A new analytical method is presented here, offering a physical view of drivencavities where the external field cannot be neglected. We introduce a newdimensionless complex parameter, intrinsically linked to the cooperativityparameter of optical bistability, and analogous to the scaled Rabbi frequencyfor driven systems where the field is classical. Classes of steady states areiteratively constructed and expressions for the diffusion and frictioncoefficients at lowest order also derived. They have in most cases the samemathematical form as their free-space analog. The method offers a semiclassicalexplanation for two recent experiments of one atom trapping in a high Q cavitywhere the excited state is significantly saturated. Our results refute bothclaims of atom trapping by a quantized cavity mode, single or not. Finally, itis argued that the parameter newly constructed, as well as the groundwork ofthis method, are at least companions of the cooperativity parameter and itsmother theory. In particular, we lay the stress on the apparently morefundamental role of our structure parameter.Comment: 24 pages, 7 figures. Submitted to J. Phys. B: At. Mol. Opt. Phy

On the suppression of the diffusion and the quantum nature of a cavity mode. Optical bistability: forces and friction in driven cavities