Hamilton-Jacobi Approach for Power-Law Potentials

The classical and relativistic Hamilton-Jacobi approach is applied to the one-dimensional homogeneous potential, $V(q)=\alpha q^n$, where $\alpha$ and $n$ are continuously varying parameters. In the non-relativistic case, the exact analytical solution is determined in terms of $\alpha$, $n$ and the total energy $E$. It is also shown that the non-linear equation of motion can be linearized by constructing a hypergeometric differential equation for the inverse problem $t(q)$. A variable transformation reducing the general problem to that one of a particle subjected to a linear force is also established. For any value of $n$, it leads to a simple harmonic oscillator if $E>0$, an "anti-oscillator" if $E<0$, or a free particle if E=0. However, such a reduction is not possible in the relativistic case. For a bounded relativistic motion, the first order correction to the period is determined for any value of $n$. For $n >> 1$, it is found that the correction is just twice that one deduced for the simple harmonic oscillator ($n=2$), and does not depend on the specific value of $n$.Comment: 12 pages, Late

Directional Detection of Dark Matter with MIMAC

Directional detection is a promising search strategy to discover galactic Dark Matter. We present a Bayesian analysis framework dedicated to Dark Matter phenomenology using directional detection. The interest of directional detection as a powerful tool to set exclusion limits, to authentify a Dark Matter detection or to constrain the Dark Matter properties, both from particle physics and galactic halo physics, will be demonstrated. However, such results need highly accurate track reconstruction which should be reachable by the MIMAC detector using a dedicated readout combined with a likelihood analysis of recoiling nuclei.Comment: 4 pages, 2 figures, to appear in the proceedings of the TAUP 2011 conference held in Munich (5 - 9 September, 2011

Just Markets from the Perspective of Catholic Social Teaching

The justice of markets is intricately connected to the treatment of the poor and the disadvantaged in market economies. The increased interest of multinational corporations in low-income market segments affords, on one hand, the opportunity for a more inclusive capitalism, and on the other, the threat of greater exploitation of poor and disadvantaged consumers. This article traces the contributions of Catholic Social Teaching and its basic principles toward providing insight into what constitutes justice in such marketing to the impoverished situations

The Integrative Justice Model for Marketing to the Poor: An Extension of S-D Logic to Distributive Justice and Macromarketing

As multinational corporations (MNCs) increasingly turn their attention to the fast growing markets of China, India, Brazil, and other developing areas, the question of fair treatment of consumers and other residents of those areas is more intensively debated than ever before. In essence, issues of distributive justice come to the fore, that is, are the benefits and burdens of rapid economic development being fairly allocated among the parties and stakeholders to the expanded economic transactions? In response to this question, the authors have postulated a detailed normative model for ethically marketing to impoverished consumer segments; they label their model, the Integrative Justice Model (IJM) for impoverished markets. In this article, the authors show how the IJM, an independently derived model of normative marketing, conforms in its key operational elements to the foundational premises (FPs) of the positive S-D logic and extends the S-D logic perspective to societal and ethical concerns. Furthermore, the authors connect the S-D logic philosophy to macromarketing frameworks such as distributive justice, sustainability, and labor

Marketing to the Poor: An Integrative Justice Model for Engaging Impoverished Marketing Segments

The relatively recent entry of multinational corporations (MNCs) into low-income markets, particularly in developing countries, affords the opportunity for the more inclusive capitalism envisioned by globalists. Alternatively, an expansion of MNC marketing in less developed economies might foreshadow the greater exploitation of disadvantaged consumers predicted by many critics of expanded free trade. To diffuse the charge of “exploitative” marketing, it is imperative that corporate marketing efforts seeking to engage impoverished segments be grounded in a strong ethical framework. This article unveils one such framework—the “integrative justice model” (IJM). The IJM is an aspirational model that outlines how to market ethically to disadvantaged consumers in both developed and developing countries. The authors derive the elements of this model from frameworks of moral philosophy and management theory. Although the IJM is normative in nature, the authors connect it to real-world examples, which provides MNCs that market to the poor practical benchmarks for conducting their business operations with fairness and equity. The article concludes with a discussion of the implications of the IJM for public policy

TFD Extension of Open String Field Theory

We study the application of the rules of Thermo Field Dynamics (TFD) to the covariant formulation of Open String Field Theory (OSFT). We extend the states space and fields according to the duplication rules of TFD and construct the corresponding classical action. The result is interpreted as a theory whose fields would encode the statistical information of open strings. The physical spectrum of the free theory is studied through the cohomology of the extended BRST charge, and, as a result, we get new fields in the spectrum emerging by virtue of the quantum entanglement and, noticeably, it presents degrees of freedom that could be identified as those of closed strings. We also show, however, that their appearing in the action is directly related to the choice of the inner product in the extended algebra, so that different sectors of fields could be eliminated from the theory by choosing that product conveniently. Finally, we study the extension of the three-vertex interaction and provide a simple prescription for it whose results at tree-level agree with those of the conventional theory.Comment: 25 pages, no figures. File format, typos, Abstract and references modified. New subsection and concluding comments were added. To appear in Phys. Rev.