An electrostatics-based approach has been proposed for probing the weak interactions between lone pair containing molecules and π deficient molecular systems. For electron-rich molecules, the negative minima in molecular electrostatic potential (MESP) topography give the location of electron localization and the MESP value at the minimum (Vmin) quantifies the electron-rich character of that reg...

In this paper, we continue our investigation of a one-dimensional, twocomponent, quantum many-body system in which like particles interact with a pair potential s(s + 1)/sinh(r), while unlike particles interact with a pair potential −s(s + 1)/cosh(r). For an equal number of particles of the two components, the ground state for s > 0 corresponds to an antiferromagnet/insulator. Excitations consi...

We study a Gibbs measure over Brownian motion with a pair potential which depends only on the increments. Assuming a particular form of this pair potential, we establish that in the infinite volume limit the Gibbs measure can be viewed as Brownian motion moving in a dynamic random environment. Thereby we are in a position to use the technique of Kipnis and Varadhan and to prove a functional cen...

Chinese typists are readily trained to end the input sequence that identifies the first character of a pair with a special delimiter for pairs rather than the usual delimiter. The pairs delimiter alerts the system to look up the pairing potential of the first character. Then it matches the second character of the pair against that potential. The result is automatic contextual disambiguation per...

The CLaC Lab’s system for the PASCAL RTE challenge explores the potential of simple general heuristics and a knowledge-poor approach for recognising paraphrases, using NP coreference, NP chunking, and two parsers (RASP and Link) to produce Predicate Argument Structures (PAS) for each of the pair components. WordNet lexical chains and a few specialised heuristics are used to establish semantic s...

A exible Bayesian method is suggested for the pair potential estimation with a high-dimensional parameter space. The method is based on a Bayesian smoothing technique, commonly applied in statistical image analysis. For the calculation of the posterior mode estimator a new Monte Carlo algorithm is developed. The method is illustrated through examples with both real and simulated data, and its e...

A detailed analysis of electron-positron pair creation induced by a spatially nonuniform and static electric field from vacuum is presented. A typical example is provided by the Sauter potential. For this potential, we derive the analytic expressions for vacuum decay and pair production rate accounted for the entire range of spatial variations. In the limit of a sharp step, we recover the diver...

Vortex structure of pure d x 2 y 2 -wave superconductors is microscopically analyzed in the framework of the quasi-classical Eilenberger equations. Selfconsistent solution for the d-wave pair potential is obtained for the rst time in the case of an isolated vortex. The vortex core structure, i.e., the pair potential, the supercurrent and the magnetic eld, is found to be fourfold symmetric even ...

Through the solution of the Bogoliubov de Gennes equations we analyze the effect of different symmetries of the pair potential on the quasiparticle energy spectrum in SNINS junctions (S: superconductor, N: normal metal and I: Insulator). We find that the energy levels are strongly affected by the symmetry of the pair potential, the width of each normal metal (a and b) and the strength of the in...

It has been known for a long time that many simple liquids have surprisingly similar structure as quantified, for example, by the radial distribution function. A much more recent realization is that the dynamics are also very similar for a number of systems with quite different pair potentials. Systems with such non-trivial similarities are generally referred to as 'quasi-universal'. From the f...