The Divine Clockwork: Bohr's correspondence principle and Nelson's stochastic mechanics for the atomic elliptic state

We consider the Bohr correspondence limit of the Schrodinger wave function for an atomic elliptic state. We analyse this limit in the context of Nelson's stochastic mechanics, exposing an underlying deterministic dynamical system in which trajectories converge to Keplerian motion on an ellipse. This solves the long standing problem of obtaining Kepler's laws of planetary motion in a quantum mechanical setting. In this quantum mechanical setting, local mild instabilities occur in the Kelperian orbit for eccentricities greater than 1/\sqrt{2} which do not occur classically.Comment: 42 pages, 18 figures, with typos corrected, updated abstract and updated section 6.

Measuring the Impact of Inner City Markets on CBD Retail Sales

[Excerpt] Observers of Central Business District (CBD) retailing performance have reported many adjustments in recent decades. Sales have steadily declined, relatively and absolutely, since World War II. The function and trade area of the CBD has changed, the clientele is different, and retail establishments have adopted new locational strategies. Contributing substantially to the changing character of CBDs has been the pervasive and continuing decentralization of the metropolitan population. Nearly two decades ago, Vance (1962) conceptualized the impact of this decentralization process as one of relegating the CBD to that of (1) a seller of mass appeal goods to an inner city market and (2) a seller of specialty goods to the metropolitan market. More recently, it appears that a scaling back has also occurred in the specialty goods area. Increasingly, specialty goods sales have been sustained by those who are downtown because of employment or business

The Capaciousness of No: Affective Refusals as Literacy Practices

© 2020 The Authors. Reading Research Quarterly published by Wiley Periodicals, Inc. on behalf of International Literacy Association The authors considered the capacious feeling that emerges from saying no to literacy practices, and the affective potential of saying no as a literacy practice. The authors highlight the affective possibilities of saying no to normative understandings of literacy, thinking with a series of vignettes in which children, young people, and teachers refused literacy practices in different ways. The authors use the term capacious to signal possibilities that are as yet unthought: a sense of broadening and opening out through enacting no. The authors examined how attention to affect ruptures humanist logics that inform normative approaches to literacy. Through attention to nonconscious, noncognitive, and transindividual bodily forces and capacities, affect deprivileges the human as the sole agent in an interaction, thus disrupting measurements of who counts as a literate subject and what counts as a literacy event. No is an affective moment. It can signal a pushback, an absence, or a silence. As a theoretical and methodological way of thinking/feeling with literacy, affect proposes problems rather than solutions, countering solution-focused research in which the resistance is to be overcome, co-opted, or solved. Affect operates as a crack or a chink, a tiny ripple, a barely perceivable gesture, that can persist and, in doing so, hold open the possibility for alternative futures

Necessary and sufficient conditions for path-independence of Girsanov transformation for infinite-dimensional stochastic evolution equations

Based on a recent result on linking stochastic differential equations on ℝ d to (finite-dimensional) Burger-KPZ type nonlinear parabolic partial differential equations, we utilize Galerkin type finite-dimensional approximations to characterize the path-independence of the density process of Girsanov transformation for the infinite-dimensional stochastic evolution equations. Our result provides a link of infinite-dimensional semi-linear stochastic differential equations to infinite-dimensional Burgers-KPZ type nonlinear parabolic partial differential equations. As an application, this characterization result is applied to stochastic heat equation in one space dimension over the unit interval

Rethinking the social impacts of the arts

The paper presents a critical discussion of the current debate over the social impacts of the arts in the UK. It argues that the accepted understanding of the terms of the debate is rooted in a number of assumptions and beliefs that are rarely questioned. The paper goes on to present the interim findings of a three‐year research project, which aims to rethink the social impact of the arts, with a view to determining how these impacts might be better understood. The desirability of a historical approach is articulated, and a classification of the claims made within the Western intellectual tradition for what the arts “do” to people is presented and discussed

Political strategies of external support for democratization

Political strategies of external support to democratization are contrasted and critically examined in respect of the United States and European Union. The analysis begins by defining its terms of reference and addresses the question of what it means to have a strategy. The account briefly notes the goals lying behind democratization support and their relationship with the wider foreign policy process, before considering what a successful strategy would look like and how that relates to the selection of candidates. The literature's attempts to identify strategy and its recommendations for better strategies are compared and assessed. Overall, the article argues that the question of political strategies of external support for democratization raises several distinct but related issues including the who?, what?, why?, and how? On one level, strategic choices can be expected to echo the comparative advantage of the "supporter." On a different level, the strategies cannot be divorced from the larger foreign policy framework. While it is correct to say that any sound strategy for support should be grounded in a theoretical understanding of democratization, the literature on strategies reveals something even more fundamental: divergent views about the nature of politics itself. The recommendations there certainly pinpoint weaknesses in the actual strategies of the United States and Europe but they have their own limitations too. In particular, in a world of increasing multi-level governance strategies for supporting democratization should go beyond preoccupation with just an "outside-in" approach

Burgers' Flows as Markovian Diffusion Processes

We analyze the unforced and deterministically forced Burgers equation in the framework of the (diffusive) interpolating dynamics that solves the so-called Schr\"{o}dinger boundary data problem for the random matter transport. This entails an exploration of the consistency conditions that allow to interpret dispersion of passive contaminants in the Burgers flow as a Markovian diffusion process. In general, the usage of a continuity equation $\partial_t\rho =-\nabla (\vec{v}\rho)$, where $\vec{v}=\vec{v}(\vec{x},t)$ stands for the Burgers field and $\rho$ is the density of transported matter, is at variance with the explicit diffusion scenario. Under these circumstances, we give a complete characterisation of the diffusive transport that is governed by Burgers velocity fields. The result extends both to the approximate description of the transport driven by an incompressible fluid and to motions in an infinitely compressible medium. Also, in conjunction with the Born statistical postulate in quantum theory, it pertains to the probabilistic (diffusive) counterpart of the Schr\"{o}dinger picture quantum dynamics.Comment: Latex fil

A comparison of two no-arbitrage conditions

We give a comparison of two no-arbitrage conditions for the fundamental theorem of asset pricing. The first condition is named as the no free lunch with vanishing risk condition and the second the no good deal condition. We aim to derive a relationship between these two conditions

Nonlinear Dynamic Behavior of Pile Groups: Effects of Plasticity of Soil

The effects of material nonlinearity of soil on dynamic behavior of a single pile and pile groups are investigated. An advanced plasticity based soil model, HiSS, is incorporated in the finite element formulation. To simulate radiation effects, proper boundary conditions are used. The model and algorithm are verified with analytical results that are available for elastic and elasto-plastic soil models. Analyses are performed for seismic excitation as well as for loads applied on the pile cap and the effect of nonlinearity is investigated. Effects of spacing between piles are investigated. It was found that the effect of soil nonlinearity on the seismic response is very much dependent on the frequency of excitation. At low frequencies, its effect is significant but at higher frequencies it is negligible. For the loading on a pile cap, the nonlinearity decreases the dynamic stiffness of the soil-pile system. Effect of nonlinearity on the dynamic stiffness is shown to be sensitive to the spacing between piles. Nonlinearity suppresses wave interference effects among piles and thus reduces the stiffness significantly at excitation frequencies where the group effect is most important

Amerta: jurnal penelitian dan pengembangan arkeologi vol. 35, no. 2, Desember 2017

AMERTA, Jurnal Penelitian dan Pengembangan Arkeologi merupakan sarana publikasi dan informasi hasil penelitian dan pengembangan di bidang arkeologi dan ilmu terkait. Jurnal ini menyajikan artikel orisinal, tentang pengetahuan dan informasi hasil penelitian atau aplikasi hasil penelitian dan pengembangan terkini dalam bidang arkeologi dan ilmu terkait seperti kimia, biologi, geologi, paleontologi, dan antropologi. Sejak tahun 1955, AMERTA sudah menjadi wadah publikasi hasil penelitian arkeologi, kemudian tahun 1985 menjadi AMERTA, Berkala Arkeologi. Sesuai dengan perkembangan keilmuan, pada tahun 2006 menjadi AMERTA, Jurnal Penelitian dan Pengembangan Arkeologi. Pengajuan artikel di jurnal ini dilakukan secara online ke http://jurnalarkeologi.kemdikbud. go.id/index.php/amerta. Informasi lengkap untuk pemuatan artikel dan petunjuk penulisan terdapat di halaman akhir dalam setiap terbitan. Artikel yang masuk akan melalui proses seleksi Dewan Redaksi. Semua tulisan di dalam jurnal ini dilindungi oleh Hak Atas Kekayaan Intelektual (HAKI). Mengutip dan meringkas artikel; gambar; dan tabel dari jurnal ini harus mencantumkan sumber. Selain itu, menggandakan artikel atau jurnal harus mendapat izin penulis. Jurnal ini terbit dua kali setahun pada bulan Juni dan Desember, diedarkan untuk masyarakat umum dan akademik baik di dalam maupun luar negeri