An approtimauon is proposed ior ulctitions of average propcrtics of high-lying vrbntronal states of polyatomrcs. The method employs a statisttul model for the wavefunctions. The appro\lmstron was tested apmst elact, extenrivc numcrid results for transition moment dlstnbutrons in two-mode model sysrcms. Good agrcemcnt was found.
Quantitative calculations of time-independent properties of highly excited vibrational states of mol-
ecules are an exceedingly difficult task for which no practical approximation method appears to be available at present. hlostly, the difficulties are due to the high density of states and the strong coupling between modes typical of this problem. The most powerful tool at present for highly excited, strongly coupled modes, are the semiclassical methods, vigorously developed in recent years [ 1 ]. While of great elegance, these methods are, however, too complicated to permrt simple calculations for realistic systems. Efforts to simplify the semiclassical approach, e.g. by selfconsistent field approxunations [2], resulted so far in schemes of restricted applicability only. The purpose of this letter is to report on a new approximation method for nbrationrdly Iughly excited