In this letter the explicit form of evolution operator of the Tavis-Cummings
model with three and four atoms is given. This is an important progress in
quantum optics or mathematical physics.Comment: Latex file, 10 pages. We combined quant-ph/0404034(the three atoms
case) and quant-ph/0406184(the four atoms case) into an article. to appear in
International Journal of Geometric Methods in Modern Physic