Comparison between the exact and Brody repulsion function for the βn2spectrum
Christian Joachim · Journal of Physics A Mathematical and General · 1986
From the secular variation extraction of the nearest-neighbour spacing repartition function of the spectrum without an accumulation point in the part studied, an ab initio expression of the repulsion function is given. This expression is calculated for a beta n 2 spectrum and compared with the Brody semi-empiric repulsion function (1981). The Brody parameters are not evaluated by fitting but calculated from the first and second moments of the nearest-neighbour spacing. Notable differences are found between the two expressions, differences which persist even for more complex spectra.