Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
26 (1985), S. 1570-1575
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
Generalized integral moments are defined for a general class of saturating functions [ f(0)=ρ0, f(∞)=0]. They are useful as independent variables for describing surface properties or macroscopic dynamics of finite systems. Applied especially to functions of the Fermi type, analytic solutions are given in terms of a semiconverging, and of a numerically semiunstable expansion, respectively, suitable for numerical evaluation. Results are compared to the semidivergent expansion as given by A(ring)berg, of which some properties are exhibited here, and with the exact numerical solutions known for this special example.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.526919
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