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On the solutions of correlation equations for classical continuous systems

✍ Scribed by V.A. Zagrebnov

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
885 KB
Volume
109
Category
Article
ISSN
0378-4371

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✦ Synopsis

A method for solving the finite-volume Kirkwood-type correlation equations for tempered boundary conditions is developed. The central idea is an analytic continuation in the activity of the resolvent formulas for the solutions. The uniqueness theorem is proved for activities in a larger domain of the complex plane than the "standard" circle of analyticity~). A connection with the eigenvector problem for the corresponding Kirkwood-type operators is discussed. We compare also the correlation equation method with the "equilibrium equation" one handling directly with the Gibbs probability measure. * We do not dwell upon a great success of this approach in contemporary Quantum Field Theory, see e.g,3), where problems similar to the one considered in the present paper appear.

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