A rovibrationally state-specific collision model for the O2(Σg−3)+O(P3) system is presented direct simulation Monte Carlo, including rotation–vibration–translation energy transfer, exchange, dissociation, and recombination processes. The two-step binary approach employed to reactions. Two available cross section databases by Andrienko/Boyd Esposito/Capitelli are resolved (rv-STS) vibrationally ...

Let Σg be a compact Riemann surface of genus g ≥ 2, and let Λ be a line bundle over Σg of degree 1. Then the moduli space of rank 2 stable bundles V over Σg such that ΛV ∼= Λ was shown by Seshadri [19] to be a nonsingular projective variety Ng . Its rational cohomology ring H(Ng ) is exceedingly rich and despite years of study has never quite been computed in full. The object of this paper is t...

We present high-precision non-relativistic variational calculations of bound vibrational-rotational state energies for the H2 + and D2 + molecular ions in each of the lowest electronic states of Σg, Σu, and Πu symmetry. The calculations are carried out including coupling between Σ and Π states but without using the Born-Oppenheimer or any adiabatic approximation. Convergence studies are present...

For the lithium dimer we calculate cross sections for absorption of radiation from the vibrational-rotational levels of the ground X Σg electronic state to the vibrational levels and continua of the excited A Σu and B Πu electronic states. Theoretical and experimental data are used to characterize the molecular properties taking advantage of knowledge recently obtained from photoassociation spe...

We present high-precision non-relativistic variational calculations of bound vibrational-rotational state energies for the H2 + and D2 + molecular ions in each of the lowest electronic states of Σg, Σu, and Πu symmetry. The calculations are carried out including coupling between Σ and Π states but without using the Born-Oppenheimer or any adiabatic approximation. Convergence studies are present...

The question of existence and stability of global fixed points for group actions has been studied in many different contexts. In the setting of actions of Lie groups it was shown by Lima [8] that n commuting vector fields on a genus g surface, Σg, of non-zero Euler characteristic have a common singularity. This implies that any action of the abelian Lie group R on Σg has a global fixed point. I...

The aurophilic interaction is examined in three model systems Au2((3)Σg(+)), (AuH)2, and (HAuPH3)2 which contain interactions of pairs of the Au centers in the oxidation state (I). Several methods are employed ranging from wave function theory-based (WFT) approaches to symmetry-adapted perturbation theory (SAPT) and range-separated hybrid (RSH) density functional theory (DFT) methods. The most ...

Gravitational instability of a vertically thin, dusty sheet near the midplane of a protoplanetary disk has long been proposed as a way of forming planetesimals. Before Roche densities can be achieved, however, the dust-rich layer, sandwiched from above and below by more slowly rotating dust-poor gas, threatens to overturn and mix by the Kelvin-Helmholtz instability (KHI). Whether such a threat ...

In computed tomography (CT), the noise is sometimes non-uniform, i.e. magnitude may vary with gradient level within image. The purpose of this study was to quantify non-uniformity in CT images using appropriate 1D and 2D computational phantoms, validate effectiveness proposed concept filtered by bilateral filter (BF), as an example a non-linear filter. We first developed Gaussian noises several...