一维极性分子链中的非线性效应

The nonlinear effect in one-dimensional chain of polarized molecule

运用连续极限近似方法,通过求解声子和激子的运动方程,得到了在不考虑激子与声子的相互作用和考虑激子与声子相互作用两种情况下的极性分子简谐链和非简谐链中晶格振动的孤子解,并得出了激子与声子的相互作用的非线性效应类似于晶格三次势的非线性效应,以及相同的非线性效应不论是同时作用还是单独作用都具有相同的非线性效应的结论。

By virtue of method of continuum approximate limit, we obtained the solitons of the vibration of lattice in one-dimensional harmonic and inharmonic chains of polarized molecule, under the conditions considering and inconsidering the interaction of exciton with phonon, through solving moving equations of exciton and phonon.We conclued that the nonlinear effect of interation of exciton with phonon belong to cubic nonlinear effect of lattice, and the identical nonlinear effects have the same conquesence of action in any time.