The dynamic equations at the basis of the recursion method and of the moment method are discussed using the projection techniques borrowed from statistical mechanics. A local orbital is regarded as the system of interest and the rest of the crystal takes the place of a highly non-Markovian reservoir. A rewarding aspect of the formalism is an improved relation between the chain parameters of the recursion method and the moments. It is speculated that the concepts of random forces and their dynamics could be of help in determining the asymptotic behaviour of the chain variables.

DYNAMIC FORMULATION OF THE MOMENT AND THE RECURSION METHODS

GROSSO, GIUSEPPE;
1983

Abstract

The dynamic equations at the basis of the recursion method and of the moment method are discussed using the projection techniques borrowed from statistical mechanics. A local orbital is regarded as the system of interest and the rest of the crystal takes the place of a highly non-Markovian reservoir. A rewarding aspect of the formalism is an improved relation between the chain parameters of the recursion method and the moments. It is speculated that the concepts of random forces and their dynamics could be of help in determining the asymptotic behaviour of the chain variables.
Grigolini, P; Grosso, Giuseppe; PASTORI PARRAVICINI, G.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/6065
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