Calculations of long-range potential wells for highly excited homonuclear and heteronuclear alkali dimers

The weakly bound long-range potential curves between a highly excited alkali atom M(*)(n(e)s) and a ground state alkali atom M(n(g)s) are calculated using simple but reasonably accurate models for long-range dispersion and exchange interactions for all homonuclear and heteronuclear combinations. For K(2), where experimental results are available, the agreement is quite good (binding energies of observed vibrational levels within approximately 10%). We find that at least a zero-point vibrational level occurs for n(e)-n(g)相似文献   

The refined lecture hall theorem via abacus diagrams

Bousquet-Mélou & Eriksson’s lecture hall theorem generalizes Euler’s celebrated distinct-odd partition theorem. We present an elementary and transparent proof of a refined version of the lecture hall theorem using a simple bijection involving abacus diagrams.     

Elastodynamic behavior of laminated orthotropic plates under initial stress

A finite element method of analysis of the vibrational and wave propagational characteristics is presented for a laminated orthotropic plate under initial stress. The plate may have an arbitrary number of bonded elastic orthotropic layers, each with distinct thickness, density and mechanical properties, and the analysis is capable of treating a completely arbitrary three-dimensional state of initial stress. Biot's theory for incremental elastic deformations of a stressed solid forms the basis for this study. A homogeneous, isotropic plate under two different states of initial stress was analyzed and their numerical results showed excellent correlation with those from an exact solution. Further examples of a three layer composite plate and a sandwich plate are offered to add some general insight to the physical behavior of such plates.     

Synthesis of Exo-Brevicomin. Application of Organoaluminum Reagents to Synthesis

The use of hindered trialkylaluminum reagents is found to result in stereoselective reduction of the carbonyl group of 2-propionyl-6-methyl-3, 4-dihydro-2H-pyran.     

A New Approach to Pyrrolidine and Piperidine Alkaloids

An uhexpected success involving the rearrangement of N-benzoyl2-pyrrolidone(1)to 2-phenylpyrroline (2)¹ provided us with an imaginative heuristic upon which some novel entries into the pyrrolidine and piperdine alkaloids was based.     

Single-photon diode by exploiting the photon polarization in a waveguide

A single-photon optical diode operates on individual photons and allows unidirectional propagation of photons. By exploiting the unique polarization configuration in a waveguide, we show here that a single-photon optical diode can be accomplished by coupling a quantum impurity to a passive, linear optical waveguide which possesses a locally planar, circular polarization. We further show that the diode provides a near unitary contrast for an input pulse with finite frequency bandwidth and can be implemented in a variety of types of waveguides. Moreover, the performance of the diode is not sensitive to the intrinsic dissipation of the quantum impurity.     

Spatial Entanglement of Formation in Thermal States of One or Two Identical Non-Interacting Massive Bosons

The entanglement of formation (EoF) between one-dimensional spatial regions is calculated for one and two identical, non-interacting, non-relativistic bosons. Thermal states are approximated by mixtures of up to 13 energy eigenstates. The EoF is found to diminish as inverse temperature to a power of ∼0.62 in one spatial dimension.     

Estimating the demand pattern for C category items

This paper presents a methodology for estimating the demand pattern for the slowest-moving C category inventory items. The methodology uses an aggregation-by-items scheme and a forecasting procedure based on conditional demand analysis whereby aggregate demand is assumed to be an arbitrarily mixed, heterogeneous Poisson distribution. Practical aspects of demand heterogeneity, parameter estimation and model implementation are illustrated using a case study in retail inventory planning and control.     

t-Channel couplings in Kaon-nucleon scattering

Hyperbolic dispersion relations are used to examine elasticKN and tintin1N amplitudes in the resonance region, and to extrapolate them to the annihilation channel. By evaluating the relations on a set of paths interior to the elastic channel physical regions, a spin separation oft-channel contributions is effected, and resonance couplings deduced. The results show clear evidence for effects attributable to exchanges withJ≦3, several of which have not previously been isolated. The special problems associated with the isoscalarS-wave states are discussed, and an estimate made of the ?-S ^* mixing angle.