The Classical Limit of Entropic Quantum Dynamics

The framework of entropic dynamics (ED) allows one to derive quantum mechanics as an application of entropic inference. In this work we derive the classical limit of quantum mechanics in the context of ED. Our goal is to find conditions so that the center of mass (CM) of a system of N particles behaves as a classical particle. What is of interest is that Planck's constant remains finite at all steps in the calculation and that the classical motion is obtained as the result of a central limit theorem. More explicitly we show that if the system is sufficiently large, and if the CM is initially uncorrelated with other degrees of freedom, then the CM follows a smooth trajectory and obeys the classical Hamilton-Jacobi with a vanishing quantum potential.Comment: Presented at MaxEnt 2016, the 36th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering (July 10-15, 2016, Ghent, Belgium). In version 2 some typos and an algebra mistake are corrected. The corrections do not affect the conclusion

The Classical Limit of Entropic Quantum Dynamics

The framework of entropic dynamics (ED) allows one to derive quantum mechanics as an application of entropic inference. In this work we derive the classical limit of quantum mechanics in the context of ED. Our goal is to find conditions so that the center of mass (CM) of a system of N particles behaves as a classical particle. What is of interest is that ~ remains finite at all steps in the calculation and that the classical motion is obtained as the result of a central limit theorem. More explicitly we show that if the system is sufficiently large, and if the CM is initially uncorrelated with other degrees of freedom, then the CM follows a smooth trajectory and obeys the classical Hamilton-Jacobi with a vanishing quantum potential

A Conversation With Jonathan Demme

On the evening of May 18, Jonathan Demme spoke to students at Columbia College about his experience in the fields of film directing and producing while visiting Chicago for the 16th Annual Festival of Illinois Film and Video Artists. The discussion was moderated by Anthony Loeb, chair of the Film and Video Department. Photographer: Pamela Susmiehl. 27 pages.https://digitalcommons.colum.edu/conversations/1008/thumbnail.jp

Overcoming the Intuition Wall: Measurement and Analysis in Computer Architecture

These are exciting times for computer architecture research. Today there is significant demand to improve the performance and energy-efficiency of emerging, transformative applications which are being hammered out by the hundreds for new computing platforms and usage models. This booming growth of applications and the variety of programming languages used to create them is challenging our ability as architects to rapidly and rigorously characterize these applications. Concurrently, hardware has become more complex with the emergence of accelerators, multicore systems, and heterogeneity caused by further divergence between processor market segments. No one architect can now understand all the complexities of many systems and reason about the full impact of changes or new applications. To that end, this dissertation presents four case studies in quantitative methods. Each case study attacks a different application and proposes a new measurement or analytical technique. In each case study we find at least one surprising or unintuitive result which would likely not have been found without the application of our method

[Research Note]Massive Open Online Courses (MOOCs) : So Far, More Evolution than Revolution

This paper analyzes the development and shortcomings of Massive Open Online ourses (MOOCs) as well as the growth of Coursera, edX, and Udacity, three of the most prominent MOOC providers.departmental bulletin pape

The Effect of Upton Sinclair’s The Jungle in the Progressive Era

At the turn of the twentieth century, a group of American writers and journalists called the ‘muckrakers’ sought to expose the problems and growing inequalities in society. The muckraker with arguably the greatest impact was Upton Sinclair, whose influential novel, The Jungle, helped bring about extensive changes in food and drug regulation in the U.S. This paper will examine the influence of The Jungle and how the firestorm it created would lead to the passage of the Federal Meat Inspection Act and the Pure Food and Drug Act in 1906.departmental bulletin pape

Tokoha University Students and Their Oral Communication Classes : A Second Look

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Accords de distribution et européanisation du droit allemand de la concurrence

Un fabricant peut-il interdire aux détaillants d’utiliser le portail Internet eBay pour la vente de ses produits ? Le tribunal régional de Berlin a condamné clairement une telle pratique dans un arrêt du 21 avril 2009 (Az. 16 O 729/07). Contrai­re­ment à une dé­cision de son homologue de Mannheim en 2008 dans une affaire tout à fait similaire (Az. 7 O 263/07), le tribunal berlinois a rejeté l’argument du fabri­cant Scout – une marque réputée de cartables pour écoliers en Allemagne – que la vente sur eBay nuirait à l’image de sa marque. Le fabricant ayant fait appel de cette décision, c’est le tribunal régional supérieur de Berlin qui sera chargé de se prononcer de nou­veau sur cette question.Si les réflexions sur le commerce électronique sont d’une brûlante actualité, tant à l’échelle nationale que communautaire, avec la mise en ligne le 26 mai 2009 du rapport sur les opportunités et les freins du commerce électronique par la Com­mission européenne, la question que pose cette affaire va bien au-delà du do­maine spécifique de l’e-commerce : dans quelle mesure un fabricant peut-il limiter la liberté commerciale des revendeurs dans la distribution de ses produits ?L’Allemagne s’est montrée pendant longtemps très libérale, en remettant à la libre négociation entre fabricant et distributeur le soin de régler la question de la me­sure des limitations que le premier pouvait apporter à la latitude du second dans la commercialisation des produits. Les juristes ainsi que les milieux économiques concernés étaient intimement persuadés que cette solution représentait un pro­grès par rapport au système européen plus strict. Le changement survenu en Allemagne avec l’abandon de cette solution ne s’explique ainsi que par la volonté d’éviter au maximum toute discordance entre droits allemand et communautaire. La convergence des droits qui en résulte est bénéfique, tant pour les entreprises allemandes souhaitant intégrer le marché commun que pour les autorités et tribunaux en charge des affaires nationales et européennes