Path integral representations in noncommutative quantum mechanics and noncommutative version of Berezin-Marinov action

It is known that the actions of field theories on a noncommutative space-time can be written as some modified (we call them theta-modified) classical actions already on the commutative space-time (introducing a star product). Then the quantization of such modified actions reproduces both space-time noncommutativity and the usual quantum mechanical features of the corresponding field theory. In the present article, we discuss the problem of constructing theta-modified actions for relativistic QM. We construct such actions for relativistic spinless and spinning particles. The key idea is to extract theta-modified actions of the relativistic particles from path-integral representations of the corresponding noncommutative field theory propagators. We consider the Klein-Gordon and Dirac equations for the causal propagators in such theories. Then we construct for the propagators path-integral representations. Effective actions in such representations we treat as theta-modified actions of the relativistic particles. To confirm the interpretation, we canonically quantize these actions. Thus, we obtain the Klein-Gordon and Dirac equations in the noncommutative field theories. The theta-modified action of the relativistic spinning particle is just a generalization of the Berezin-Marinov pseudoclassical action for the noncommutative case.

Casimir effect for the scalar field under Robin boundary conditions: a functional integral approach

In this work we show how to define the action of a scalar field such that the Robin boundary condition is implemented dynamically, i.e. as a consequence of the stationary action principle. We discuss the quantization of that system via functional integration. Using this formalism, we derive an expression for the Casimir energy of a massless scalar field under Robin boundary conditions on a pair of parallel plates, characterized by constants c(1) and c(2). Some special cases are discussed; in particular, we show that for some values of cl and c(2) the Casimir energy as a function of the distance between the plates presents a minimum. We also discuss the renormalization at one-loop order of the two-point Green function in the philambda(4) theory subject to the Robin boundary condition on a plate.

A Load-Balancing Shared-Protection-Path Reconfiguration Approach in WDM Wavelength-Routed Networks

Wavelength-routed networks (WRN) are very promising candidates for next-generation Internet and telecommunication backbones. In such a network, optical-layer protection is of paramount importance due to the risk of losing large amounts of data under a failure. To protect the network against this risk, service providers usually provide a pair of risk-independent working and protection paths for each optical connection. However, the investment made for the optical-layer protection increases network cost. To reduce the capital expenditure, service providers need to efficiently utilize their network resources. Among all the existing approaches, shared-path protection has proven to be practical and cost-efficient [1]. In shared-path protection, several protection paths can share a wavelength on a fiber link if their working paths are risk-independent. In real-world networks, provisioning is usually implemented without the knowledge of future network resource utilization status. As the network changes with the addition and deletion of connections, the network utilization will become sub-optimal. Reconfiguration, which is referred to as the method of re-provisioning the existing connections, is an attractive solution to fill in the gap between the current network utilization and its optimal value [2]. In this paper, we propose a new shared-protection-path reconfiguration approach. Unlike some of previous reconfiguration approaches that alter the working paths, our approach only changes protection paths, and hence does not interfere with the ongoing services on the working paths, and is therefore risk-free. Previous studies have verified the benefits arising from the reconfiguration of existing connections [2] [3] [4]. Most of them are aimed at minimizing the total used wavelength-links or ports. However, this objective does not directly relate to cost saving because minimizing the total network resource consumption does not necessarily maximize the capability of accommodating future connections. As a result, service providers may still need to pay for early network upgrades. Alternatively, our proposed shared-protection-path reconfiguration approach is based on a load-balancing objective, which minimizes the network load distribution vector (LDV, see Section 2). This new objective is designed to postpone network upgrades, thus bringing extra cost savings to service providers. In other words, by using the new objective, service providers can establish as many connections as possible before network upgrades, resulting in increased revenue. We develop a heuristic load-balancing (LB) reconfiguration approach based on this new objective and compare its performance with an approach previously introduced in [2] and [4], whose objective is minimizing the total network resource consumption.

SOCIAL AND BIOLOGICAL DETERMINANTS OF SHORT-TERM GROWTH VELOCITY AMONG PRESCHOOLERS OF RURAL GUATEMALA: A PATH ANALYSIS APPROACH (WEIGHT-GAIN, IRON DEFICIENCY, GASTROINTESTINAL SYMPTOMS)

This dissertation develops and tests through path analysis a theoretical model to explain how socioeconomic, socioenvironmental, and biologic risk factors simultaneously influence each other to further produce short-term, depressed growth in preschoolers. Three areas of risk factors were identified: child's proximal environment, maturational stage, and biological vulnerability. The theoretical model represented both the conceptual framework and the nature and direction of the hypotheses. Original research completed in 1978-80 and in 1982 provided the background data. It was analyzed first by nested-analysis of variance, followed by path analysis. The study provided evidence of mild iron deficiency and gastrointestinal symptomatology in the etiology of depressed, short-term weight gain. Also, there was evidence suggesting that family resources for material and social survival significantly contribute to the variability of short-term, age-adjusted growth velocity. These results challenge current views of unifocal intervention, whether for prevention or control. For policy formulations, though, the mechanisms underlying any set of interlaced relationships must be decoded. Theoretical formulations here proposed should be reassessed under a more extensive research design. It is suggested that studies should be undertaken where social changes are actually in progress; otherwise, nutritional epidemiology in developing countries operates somewhere between social reality and research concepts, with little grasp of its real potential. The study stresses that there is a connection between substantive theory, empirical observation, and policy issues. ^

Guidelines for Accessibility to Microblogging: an Integral Approach

Microblogging is one of the most popular user-generated media, hence its accessibility has a large impact for users. However, the accessibility of this medium is poor in practice, due to the combination of bad practices by different agents ranging from the providers that host microblogging services to prosumers that post contents to them. Here we present an accessibility-oriented model of microblogging services, analyze the impact of its components, and propose guidelines for each of them to meet accessibility requirements. In particular, we base on an study we have performed on Twitter, one of the most-relevant microblogging platform, to identify good and bad practices in microblogging content generation regarding accessibility in microblogging content generation.

Path integral calculation of the two-particle slater sum for He4 /

"August 20, 1965"

Path integral calculation of the three-particle direct and exchange contributions to the pair distribution function and of the third virial coefficient for He4 gas /

Thesis--Illinois.

Seminar 1 impurity in the tomonaga-luttinger model:a functional integral approach

This chapter explains a functional integral approach about impurity in the Tomonaga–Luttinger model. The Tomonaga–Luttinger model of one-dimensional (1D) strongly correlates electrons gives a striking example of non-Fermi-liquid behavior. For simplicity, the chapter considers only a single-mode Tomonaga–Luttinger model, with one species of right- and left-moving electrons, thus, omitting spin indices and considering eventually the simplest linearized model of a single-valley parabolic electron band. The standard operator bosonization is one of the most elegant methods developed in theoretical physics. The main advantage of the bosonization, either in standard or functional form, is that including the quadric electron–electron interaction does not substantially change the free action. The chapter demonstrates the way to develop the formalism of bosonization based on the functional integral representation of observable quantities within the Keldysh formalism.

Transition and foreign aid policies in the Visegrád countries:a path dependant approach

The paper argues that the current emerging international development policies of the Visegrád (V4) countries are heavily influenced by the certain aspects of the Communist past and the transition process. Due to these influences, the V4 countries have difficulties in adapting the foreign aid practices of Western donors and this leads to the emergence of a unique Central and Eastern European development cooperation model. As an analytical background, the paper builds on the path dependency theory of transition. A certain degree of path dependence is clearly visible in V4 foreign aid policies, and the paper analyses some aspects of this phenomenon: how these new emerging foreign aid donors select their partner countries, how much they spend on aid, how they formulate their aid delivery policies and institutions and what role the non-state actors play. The main conclusions of the paper are that the legacies of the Communist past have a clear influence and the V4 countries still have a long way to go in adapting their aid policies to international requirements.

The Positive Effect of Using the Integral Approach for Improving Quality of Learning and Students' motivation

Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, May, 2015

Market reform and state paternalism in Hungary: a path-dependent approach

Hungary is one of the worst-hit countries of the current financial crisis in Central and Eastern Europe. The deteriorating economic performance of the country is, however, not a recent phenomenon. A relatively high ratio of redistribution, a high and persistent public deficit and accelerated indebtedness characterised the country not just in the last couple of years but also well before the transformation, which also continued in the postsocialist years. The gradualist success of the country – which dates back to at least 1968 – in the field of liberalisation, marketisation and privatisation was accompanied by a constant overspending in the general government. The paper attempts to explore the reasons behind policymakers’ impotence to reform public finances. By providing a path-dependent explanation, it argues that both communist and postcommunist governments used the general budget as a buffer to compensate losers of economic reforms, especially microeconomic restructuring. The ever-widening circle of net benefiters of welfare provisions paid from the general budget, however, has made it simply unrealistic to implement sizeable fiscal adjustment, putting the country onto a deteriorating path of economic development.

Market reform and fiscal laxity in Communist and post-Communist Hungary: A path-dependent approach

Purpose – The purpose of this paper is to present a conceptual framework in order to analyse and understand the twin developments of successful microeconomic reform on the one hand and failed macroeconomic stabilisation attempts on the other hand in Hungary. The case study also attempts to explore the reasons why Hungarian policymakers were willing to initiate reforms in the micro sphere, but were reluctant to initiate major changes in public finances both before and after the regime change of 1989/1990. Design/methodology/approach – The paper applies a path-dependent approach by carefully analysing Hungary's Communist and post-Communist economic development. The study restricts itself to a positive analysis but normative statements can also be drawn accordingly. Findings – The study demonstrates that the recent deteriorating economic performance of Hungary is not a recent phenomenon. By providing a path-dependent explanation, it argues that both Communist and post-Communist governments used the general budget as a buffer to compensate the losers of economic reforms, especially microeconomic restructuring. The gradualist success of the country – which dates back to at least 1968 – in the field of liberalisation, marketisation and privatisation was accompanied by a constant overspending in the general government. Practical implications – Hungary has been one of the worst-hit countries of the 2008/2009 financial crisis, not just in Central and Eastern Europe but in the whole world. The capacity and opportunity for strengthening international investors' confidence is, however, not without doubts. The current deterioration is deeply rooted in failed past macroeconomic management. The dissolution of fiscal laxity and state paternalism in a broader context requires, therefore, an all-encompassing reform of the general government, which may trigger serious challenges to the political regime as well. Originality/value – The study aims to show that a relatively high ratio of redistribution, a high and persistent public deficit and an accelerated indebtedness are not recent phenomena in Hungary. In fact, these trends characterised the country well before the transformation of 1989/1990, and have continued in the post-socialist years, too. To explain such a phenomenon, the study argues that in the last couple of decades the hardening of the budget constraint of firms have come at the cost of maintaining the soft budget constraint of the state.

Transition and Foreign Aid Policies in the Visegrád Countries: A Path Dependant Approach

The paper argues that the current emerging international development policies of the Visegrád (V4) countries are heavily influenced by the certain aspects of the communist past and the transition process. Due to these influences, the V4 countries have difficulties in adapting the foreign aid practices of Western donors and this leads to the emergence of a unique Central and Eastern European development cooperation model. As an analytical background, the paper builds on the path dependency theory of transition. A certain degree of path dependence is clearly visible in V4 foreign aid policies, and the paper analyzes some aspects of this phenomenon: how these new emerging foreign aid donors select their partner countries, how much they spend on aid, how they formulate their aid delivery policies and institutions and what role the non state actors play. The main conclusions of the paper are that the legacies of the communist past have a clear influence and the V4 countries still have a long way to go in adapting their aid policies to international requirements.

Path-integral and Coarse-graining Strategies for Complex Molecular Phenomena

Molecular simulation provides a powerful tool for connecting molecular-level processes to physical observables. However, the facility to make those connections relies upon the application and development of theoretical methods that permit appropriate descriptions of the systems or processes to be studied. In this thesis, we utilize molecular simulation to study and predict two phenomena with very different theoretical challenges, beginning with (1) lithium-ion transport behavior in polymers and following with (2) equilibrium isotope effects with relevance to position-specific and clumped isotope studies. In the case of ion transport in polymers, there is motivation to use molecular simulation to provide guidance in polymer electrolyte design, but the length and timescales relevant for ion diffusion in polymers preclude the use of direct molecular dynamics simulation to compute ion diffusivities in more than a handful of candidate systems. In the case of equilibrium isotope effects, the thermodynamic driving forces for isotopic fractionation are often fundamentally quantum mechanical in nature, and the high precision of experimental instruments demands correspondingly accurate theoretical approaches. Herein, we describe respectively coarse-graining and path-integral strategies to address outstanding questions in these two subject areas.

Jensen inequalities for tunneling probabilities in complex systems

The Jensen theorem is used to derive inequalities for semiclassical tunneling probabilities for systems involving several degrees of freedom. These Jensen inequalities are used to discuss several aspects of sub-barrier heavy-ion fusion reactions. The inequality hinges on general convexity properties of the tunneling coefficient calculated with the classical action in the classically forbidden region.