We analyze the dissipative quantum tunneling in the Caldeira-Leggett model by the non-perturbative renormalization group method. We classify the dissipation effects by introducing the notion of effective cutoffs. We calculate the localization susceptibility to evaluate the critical dissipation for the quantum-classical transition. Our results are consistent with previous semi-classical argument...

in this work, we report results of calculations based on the density functional theory of different species metal-ozone, containing mercury, silver and gold. the chosen species range from small molecules and large transition-metal containing ozone with mercury, silver and gold complexes. a comparative analysis of the description of the metal-oxygen bond obtained by different methodologies is pr...

Finite state control Semi-infinite tape which contains, at the beginning of the computation: the input string, on its part of the tape the blank symbol, in the remaining squares According to the transition function at each step the machine: changes its internal state writes a nonblank symbol on the scanned tape square moves the head either to the left, or to the right, or keeps it on the same s...

A nonlinear semi-analytic filtering method to sequentially estimate spacecraft states and their associated uncertainties is presented. We first discuss the state transition tensors that characterize the localized nonlinear behavior of the spacecraft trajectory and illustrate the importance of higher order effects on orbit uncertainty propagation. We then present the semi-analytic filtering meth...

Nonlinear semi-analytic filtering methods to sequentially estimate spacecraft states and their associated uncertainties are presented. We first discuss the state transition tensors that characterize the localized nonlinear behavior of the trajectory statistics and illustrate the importance of higher-order effects on orbit uncertainty propagation. We then present a semi-analytic filtering method...

in this note we introduce the notion of weak mccoy rings as a generalization of mccoy rings, and investigate their properties. also we show that, if is a semi-commutative ring, then is weak mccoy if and only if is weak mccoy.