Title: ON THE WIDDER INVERSION METHOD IN PROBLEMS OF STATISTICAL MECHANICS
Author(s): A.V.Soldatov (V.A.Steklov Mathematical Institute, Dept. of Statistical Mechanics, GSP-1, 8 Gubkin Str., 117966 Moscow, Russia; E-mail: river@soldatov.mian.su), J.Seke (Institut fur Theoretische Physik, Technische Universitat Wien, Wiedner Hauptstrasse 8-10/136, A-1040 Wien, Austria), N.N.Bogolubov, Jr. (V.A.Steklov Mathematical Institute, Dept. of Statistical Mechanics, GSP-1, 8 Gubkin Str., 117966 Moscow, Russia; E-mail: nickolai@bogol.mian.su)

An alternative way of reconstructing a function from its Laplace transform using the Widder inversion method was shown to be useful in treating some problems of nonequilibrium statistical mechanics. As an example of a successful application of the method, a decay was investigated of the excited atomic state in a simple, but nonetheless physically relevant, model featuring a two-level atom interacting with a continuum of field modes.

Comments: Figs. 2, Refs. 8, Tabs. 0.