Predicting the stability of atom-like and molecule-like unit-charge Coulomb three-particle systems

Non-relativistic quantum chemical calculations of the particle mass, m ± 2 , corresponding to the dissociation threshold in a range of Coulomb three-particle systems of the form {m ± 1 m ± 2 m ∓ 3 } , are performed variationally using a series solution method with a Laguerre-based wavefunction. These masses are used to calculate an accurate stability boundary, i.e., the line that separates the stability domain from the instability domains, in a reciprocal mass fraction ternary diagram. This result is compared to a lower bound to the stability domain derived from symmetric systems and reveals the importance of the asymmetric (mass-symmetry breaking) terms in the Hamiltonian at dissociation. A functional fit to the stability boundary data provides a simple analytical expression for calculating the minimum mass of a third particle required for stable binding to a two-particle system, i.e., for predicting the bound state stability of any unit-charge three-particle system

Applying Online Educational Technology to Foster Financial Literacy: Financial-Institution Leaders’ Insights

Financial literacy deficiency is a prevailing problem in United States raising the need for effective financial education. Financial-institution leaders can play a crucial role in promoting financial literacy with their practical experience and expertise. This article sheds new light on the application of online technology to promote financial literacy by exploring the perceptions of financial-institution leaders. Supported by Dewey’s pragmatic constructivist paradigm and the PEST conceptual framework, a qualitative inquiry research through in-depth telephone interviews with 20 leaders from banks and credit unions in Texas was conducted. The findings revealed some common ways to provide online financial literacy education, including website information posting, online financial calculators, external links, social media communication, and partnering with appropriate third parties. The financial leaders perceived that applying online technology would be an enlightening future direction especially for the millennial generation but face-to-face education would remain important. The opportunities included social responsibility fulfillment, corporate image strengthening, marketing, and favorable regulatory consideration. The challenges involved the human and financial resources constraints, IT support, lack of effective evaluation, and how to motivate online learning. Some leaders suggested the use of games, financial incentives, and innovative apps. The policy implications included increase in government support, partnership with schools, embracing financial literacy in the state test, and collaboration among financial leaders, regulators, educators, and policy makers to foster financial literacy for the benefits of the society

Marginally unstable Holmboe modes

Marginally unstable Holmboe modes for smooth density and velocity profiles are studied. For a large family of flows and stratification that exhibit Holmboe instability, we show that the modes with phase velocity equal to the maximum or the minimum velocity of the shear are marginally unstable. This allows us to determine the critical value of the control parameter R (expressing the ratio of the velocity variation length scale to the density variation length scale) that Holmboe instability appears R=2. We then examine systems for which the parameter R is very close to this critical value. For this case we derive an analytical expression for the dispersion relation of the complex phase speed c(k) in the unstable region. The growth rate and the width of the region of unstable wave numbers has a very strong (exponential) dependence on the deviation of R from the critical value. Two specific examples are examined and the implications of the results are discussed.Comment: Submitted to Physics of Fluid

Sometime : I\u27ll Hear Your Sweet Voice Calling

https://digitalcommons.library.umaine.edu/mmb-vp/5425/thumbnail.jp

Quantum effects of nuclear motion in three-particle diatomic ions

A high accuracy, non-relativistic wavefunction is used to study nuclear motion in the ground state of three-particle {a+1a+2a-3} electronic and muonic molecular systems without assuming the Born Oppenheimer approximation. Intracule densities and center of mass particle densities show that as the mass ratio mai/ma3, i=1,2, becomes smaller, the localisation of the like-charged particles (nuclei) a1 and a2 decreases. A new coordinate system is used to calculate center of mass particle densities for systems where a1≠a2. It is shown that the nuclear motion is strongly correlated and depends on the relative masses of the nuclei a1 and a2 rather than just their absolute mass. The heavier particle is always more localised and, the lighter the partner mass, the greater the localisation. It is shown, for systems with ma1<ma2, that the ratio of (i) the density maximum and (ii) the full width at half maximum (FWHM) of the radial distribution of each nucleus from the center of mass, is directly proportional to the mass ratio of the nuclei: ma1/ma2 for the former and ma2/ma1 for the latter, thus quantifying a quantum effect of nuclear correlation

Inner and outer radial density functions in correlated two-electron systems

A method is presented for determining inner and outer one-electron radial density functions for two electron systems by partitioning the fully correlated two-electron radial density function. This is applied to the helium isolectronic series (Z=1 to 10 and 100) and the critical nuclear charge system, which has the minimum charge for which the atomic system has at least one bound state, to separate out the motions of the two electrons in both weakly and strongly correlated systems. It is found that the inner electron experiences an anti-shielding effect due to the perturbation by the other electron which increases with increasing Z. For the weakly bound systems the inner radial density distribution closely resembles that of a hydrogenic atom with the outer radial density distribution becoming very diffuse

How Old are We - Really?

A man is as old as he feels is an old truism. Here\u27s a look at how old Iowa men over 50 feel

Stratified shear flow instabilities at large Richardson numbers

Numerical simulations of stratified shear flow instabilities are performed in two dimensions in the Boussinesq limit. The density variation length scale is chosen to be four times smaller than the velocity variation length scale so that Holmboe or Kelvin-Helmholtz unstable modes are present depending on the choice of the global Richardson number Ri. Three different values of Ri were examined Ri =0.2, 2, 20. The flows for the three examined values are all unstable due to different modes namely: the Kelvin-Helmholtz mode for Ri=0.2, the first Holmboe mode for Ri=2, and the second Holmboe mode for Ri=20 that has been discovered recently and it is the first time that it is examined in the non-linear stage. It is found that the amplitude of the velocity perturbation of the second Holmboe mode at the non-linear stage is smaller but comparable to first Holmboe mode. The increase of the potential energy however due to the second Holmboe modes is greater than that of the first mode. The Kelvin-Helmholtz mode is larger by two orders of magnitude in kinetic energy than the Holmboe modes and about ten times larger in potential energy than the Holmboe modes. The results in this paper suggest that although mixing is suppressed at large Richardson numbers it is not negligible, and turbulent mixing processes in strongly stratified environments can not be excluded.Comment: Submitted to Physics of Fluid

The Influence of Social Responsibility Image Relative to Product and Service Quality on Brand Loyalty: An Exploratory Study of Quick-service Restaurants

Social responsibility (SR) is becoming an increasingly significant component of many firms’ strategic planning decisions. Research has shown that consumers tend to reward socially responsible behavior. However, there has been little testing of the construct in the hospitality industry. Additionally, when other important variables that influence consumer brand loyalty are considered, will brand social responsibility image (BSRI) still play a significant role? This study investigates the importance of SR and its impact on brand loyalty, relative to product quality and service quality in the quick-service restaurant industry. The authors were also interested to learn whether BSRI impacted consumers\u27 image of product and service quality. It was found that BSRI had a positive impact on brand loyalty, product quality, and service quality. However, product quality was a significantly stronger predictor of brand loyalty than BSRI. Where the vast majority of studies of SR have utilized scenario analysis of hypothetical firms, this study utilizes consumers\u27 perceptions of a real-world firm