A new statistical method, very similar to the one generalized to contain the Weizsäcker inhomogenity correction modified by Gombás, is derived. With regard to the approximations introduced the summation over quantum states need not be approximated by integration but can be carried out exactly. In addition to the determination of the density from the variation principle more accurate methods are described. It is shown that from Plaskett's equation the density can only be determined within the classical "allowed zone" and the proper equation for the "forbidden zone" is given.
ASJC Scopus subject areas
- Nuclear and High Energy Physics