The hypervirial perturbative method is used to obtain large-order shifted 1 / N expansions, where N is the number of spatial dimensions. Numerical investigation shows that the usually chosen shift is useful only when low-order expansions are considered. An appropriate order-dependent shift proves to lead to highly accurate large-order expansions. The class of power-law potentials is discussed as a0 illustrative example.
In this work the concept of entropy of a dynamical system, as given by Kolmogorov, is generalized in the sense of Tsallis. It is shown that this entropy is an isomorphism invariant, being complete for Bernoulli schemes.
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