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Zur Quantenstatistik der Bindungszustände in Plasmen. II Berechnung der Cluster‐Integrale
Author(s) -
Ebeling W.
Publication year - 1969
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19694770709
Subject(s) - physics , virial coefficient , virial theorem , semiclassical physics , mathematical physics , perturbation theory (quantum mechanics) , virial expansion , quantum , quantum mechanics , galaxy
In part I of this paper the cluster integral of second order for quantum plasmas was given by a definite integral over the SLATER sum of two particles. Here this integral is calculated exactly, using the method of perturbation theory with respect to the interaction parameter e 2 for the orders e 2 k with k ≦ 3, and the method of scattering phase shifts for the orders e 2 k with k ≧ 4. The cluster integral of second order is expressed by quantum virial functions and exchange virial functions. These functions are expressed in form of integrals over the complex energy plane. From these integrals TAYLOR expansions and asymptotic representations of the virial functions are derived. In the case of lower temperatures, the semiclassical formulae derived by LARKIN and the author are obtained, using the first terms of the asymptotic representation.