178 research outputs found

    High order efficient splittings for the semiclassical time-dependent Schrodinger equation

    No full text
    [EN] Standard numerical schemes with time-step h deteriorate (e.g. like epsilon(-2)h(2)) in the presence of a small semiclassical parameters in the time-dependent Schrodinger equation. The recently introduced semiclassical splitting was shown to be of order O (epsilon h(2)). We present now an algorithm that is of order O (epsilon h(7)+epsilon(2)h(6)+epsilon(3)h(4)) at the expense of roughly three times the computational effort of the semiclassical splitting and another that is of order O (epsilon h(6)+epsilon(2)h(4)) at the same expense of the computational effort of the semiclassical splitting.The work of SB has been funded by Ministerio de Economia, Industria y Competitividad (Spain) through project MTM2016-77660-P (AEI/FEDER, UE).Blanes Zamora, S.; Gradinaru, V. (2020). High order efficient splittings for the semiclassical time-dependent Schrodinger equation. Journal of Computational Physics. 405:1-13. https://doi.org/10.1016/j.jcp.2019.109157S113405Bao, W., Jin, S., & Markowich, P. A. (2002). On Time-Splitting Spectral Approximations for the Schrödinger Equation in the Semiclassical Regime. Journal of Computational Physics, 175(2), 487-524. doi:10.1006/jcph.2001.6956Balakrishnan, N., Kalyanaraman, C., & Sathyamurthy, N. (1997). Time-dependent quantum mechanical approach to reactive scattering and related processes. Physics Reports, 280(2), 79-144. doi:10.1016/s0370-1573(96)00025-7Descombes, S., & Thalhammer, M. (2010). An exact local error representation of exponential operator splitting methods for evolutionary problems and applications to linear Schrödinger equations in the semi-classical regime. BIT Numerical Mathematics, 50(4), 729-749. doi:10.1007/s10543-010-0282-4Bader, P., Iserles, A., Kropielnicka, K., & Singh, P. (2014). Effective Approximation for the Semiclassical Schrödinger Equation. Foundations of Computational Mathematics, 14(4), 689-720. doi:10.1007/s10208-013-9182-8Gradinaru, V., & Hagedorn, G. A. (2013). Convergence of a semiclassical wavepacket based time-splitting for the Schrödinger equation. Numerische Mathematik, 126(1), 53-73. doi:10.1007/s00211-013-0560-6Keller, J., & Lasser, C. (2013). Propagation of Quantum Expectations with Husimi Functions. SIAM Journal on Applied Mathematics, 73(4), 1557-1581. doi:10.1137/120889186Gradinaru, V., Hagedorn, G. A., & Joye, A. (2010). Tunneling dynamics and spawning with adaptive semiclassical wave packets. The Journal of Chemical Physics, 132(18), 184108. doi:10.1063/1.3429607Gradinaru, V., Hagedorn, G. A., & Joye, A. (2010). Exponentially accurate semiclassical tunneling wavefunctions in one dimension. Journal of Physics A: Mathematical and Theoretical, 43(47), 474026. doi:10.1088/1751-8113/43/47/474026Coronado, E. A., Batista, V. S., & Miller, W. H. (2000). Nonadiabatic photodissociation dynamics ofICNin the à continuum: A semiclassical initial value representation study. The Journal of Chemical Physics, 112(13), 5566-5575. doi:10.1063/1.481130Church, M. S., Hele, T. J. H., Ezra, G. S., & Ananth, N. (2018). Nonadiabatic semiclassical dynamics in the mixed quantum-classical initial value representation. The Journal of Chemical Physics, 148(10), 102326. doi:10.1063/1.5005557Hagedorn, G. A. (1998). Raising and Lowering Operators for Semiclassical Wave Packets. Annals of Physics, 269(1), 77-104. doi:10.1006/aphy.1998.5843Faou, E., Gradinaru, V., & Lubich, C. (2009). Computing Semiclassical Quantum Dynamics with Hagedorn Wavepackets. SIAM Journal on Scientific Computing, 31(4), 3027-3041. doi:10.1137/080729724McLachlan, R. I. (1995). Composition methods in the presence of small parameters. BIT Numerical Mathematics, 35(2), 258-268. doi:10.1007/bf01737165Blanes, S., Casas, F., & Ros, J. (1999). Symplectic Integration with Processing: A General Study. SIAM Journal on Scientific Computing, 21(2), 711-727. doi:10.1137/s1064827598332497Blanes, S., Casas, F., & Ros, J. (2000). Celestial Mechanics and Dynamical Astronomy, 77(1), 17-36. doi:10.1023/a:1008311025472Blanes, S., Diele, F., Marangi, C., & Ragni, S. (2010). Splitting and composition methods for explicit time dependence in separable dynamical systems. Journal of Computational and Applied Mathematics, 235(3), 646-659. doi:10.1016/j.cam.2010.06.018Stefanov, B., Iordanov, O., & Zarkova, L. (1982). Interaction potential in1Σg+Hg2: fit to the experimental data. Journal of Physics B: Atomic and Molecular Physics, 15(2), 239-247. doi:10.1088/0022-3700/15/2/01

    Evaluation of the outcome of various laser therapy applications in root canal disinfection: A systematic review

    No full text
    Background: Any successful endodontic therapy requires elimination of the endodontic biofilms through meticulous root canal disinfection methods. Sodium hypochlorite (NaOCl) and ethylenediaminetetraacetic acid (EDTA) are the most common effective irrigants, in removing smear-layer from the coronal and middle thirds of the dental canals but reduced considerably towards the apical one third. In recent years, newly alternative treatment modalities have been proposed, including high-power lasers and antimicrobial photodynamic therapy (aPDT). Our work was conducted to evalaute the outcome of root canal disinfection in relation to the efficacy of various treatment modalities. Furthermore, every effort was made to present an overview of the aPDT outcomes, as a model for this application, and to propose laser parameters protocol with positive results. Methods: The electronic databases PubMed was searched from January 2013- January 2019. Our inclusive criteria based on laser therapy applications, as a model for root canal disinfection. The search terms utilised various combinations as follows: photodynamic therapy or antimicrobial photodynamic therapy or photoactivated disinfection or light activated disinfection or laser activated disinfection or laser therapy, and endodontic. Results: The results of this systematic review concluded that the effectiveness of aPDT and various laser wavelengths protocols, in removing endodontic biofilms from infected root canals, remains unattainable. Conclusions: Study concluded that the combination of aPDT with antimicrobial irrigants could provide a synergetic effect. However, due to the heterogeneity of the selected studies and their limitations, in terms of lack of standardised protocol or discrepancy in the methodology, authors suggest further validated approaches to achieve optimal outcomes

    Zero-knowledge architecture for secure healthcare data sharing

    No full text
    openThis thesis provides a comprehensive comparative analysis of blockchain technology and Microsoft Azure services, focusing on their applications in Personal Health Records (PHR) systems. It carefully evaluates the benefits and challenges of each technology in key parts of PHR systems such as user management, document storage, data sharing, activity logging, request processing, notifications and disaster recovery mechanisms. The analysis acknowledges the strengths of blockchain to ensure high security, confidentiality and data integrity of health data. Its decentralized approach is known for its potential to transform the protection of sensitive medical information. However, the thesis identifies significant barriers to the widespread adoption of blockchain in healthcare, including its complexity, limited scalability and high financial requirements. On the other hand, Microsoft Azure services are an excellent choice for PHR systems. The thesis praises Azure's ability to provide scalable and secure storage solutions and its effectiveness in automating complex healthcare workflows. Azure's comprehensive disaster recovery plans are a testament to its reliability and commitment to data protection. While blockchain offers decentralization, Azure's centralized architecture is not a limitation, but a feature that ensures consistent performance, simplified management, and easy compliance. The thesis strongly advocates the implementation of Azure services via blockchain in healthcare settings. It argues that Azure's robust infrastructure, along with advanced security measures and scalability, better meets the operational needs and strategic goals of healthcare organizations. as result for PHR systems that prioritize security, compliance and efficiency, Microsoft Azure stands out as the optimal technology framework

    THE RHETORIC IMAGINARY OF THE POSTMODERN DISCURSIVENESS

    No full text
    This paper underlines the relationship between rhetoric and postmodernism. In lack of (and in spite of) a unique definition, postmodernism is seldom described as a non-centred set of rhetorical, critical and discursive practices; rhetoric offers a fertile frame for the interpretation of postmodernism. In my approach, I analyze both the type of rhetoric through which we can grasp the current of postmodernism (the rhetoric of postmodernism) and the use of rhetoric inside the postmodern discursiveness (postmodern rhetoric). The former was born out of its relationship with modernism and from this standpoint I am interested in investigating the rhetorical relevance of themes such as rupture, continuity, palimpsest, anamnesis, incompleteness. The latter is discussed mainly by focusing on the effects of the repositioning of rhetoric in postmodernism. These analyses create a cluster of motifs that constitute the nucleus of the contemporary rhetoric imaginary

    Componența curativă a textilelor tradiționale – suport al tehnicilor de marketing în dezvoltarea rurală

    No full text
    In this article, the author aims to reveal how the cultural and scientific product can contribute to rural development, thus solving, at the conceptual level, a marketing strategy that would promote the curative component of textiles. The main therapeutic valences of traditional textiles, according to the author, consist in: the naturalness of the raw materials from which the textiles were made, the cut, the protective power of the ornaments and, finally yet important, the colour used rationally. Intelligently promoted, these principlescould become more important in the eyes of Westerners, who being affected for a longer periodby the environmental pollution caused by industrialization and urbanization, clearly value the eco product. Thus, the marketing of organic / traditional products can encourage rural territories to explore new ways to become or remain competitive, to capitalize on their assets and overcome the difficulties they might encounter, such as the trend of population aging, low levels of providing services or lack of employment opportunities. The manufacturing and promotion of the usefulness of the traditional textiles could trigger positive economic growth and employment trends, it is an example of a “traditional sector” able to “redefine its identity” and adapt to the current needs of society

    EXERCISE WITH BAD FAITH OF SUBJECTIVE CIVIL RIGHTS

    No full text
    The abuse of rights is qualified as civil offence and it may not be different from that of aquilian responsibility, the purpose of its sanction is to protect the victim and not to punish the author. In the Romanian legal doctrine, the abuse of rights was defined as “the exercise of a civil subjective right by breaching the principles of its exercise.” The Constitutional Court held that the person exercising in bad faith and abusively his/her subjective or procedural rights is punishable by appropriate penalties, such as: dismissal of his/her legal action, obligation to bear the costs, application of certain court fines, etc

    Global and local fMRI signals driven by neurons defined optogenetically by type and wiring

    No full text
    Despite a rapidly-growing scientific and clinical brain imaging literature based on functional magnetic resonance imaging (fMRI) using blood oxygenation level-dependent (BOLD) signals, it remains controversial whether BOLD signals in a particular region can be caused by activation of local excitatory neurons. This difficult question is central to the interpretation and utility of BOLD, with major significance for fMRI studies in basic research and clinical applications. Using a novel integrated technology unifying optogenetic control of inputs with high-field fMRI signal readouts, we show here that specific stimulation of local CaMKIIα-expressing excitatory neurons, either in the neocortex or thalamus, elicits positive BOLD signals at the stimulus location with classical kinetics. We also show that optogenetic fMRI (ofMRI) allows visualization of the causal effects of specific cell types defined not only by genetic identity and cell body location, but also by axonal projection target. Finally, we show that ofMRI within the living and intact mammalian brain reveals BOLD signals in downstream targets distant from the stimulus, indicating that this approach can be used to map the global effects of controlling a local cell population. In this respect, unlike both conventional fMRI studies based on correlations and fMRI with electrical stimulation that will also directly drive afferent and nearby axons, this ofMRI approach provides causal information about the global circuits recruited by defined local neuronal activity patterns. Together these findings provide an empirical foundation for the widely-used fMRI BOLD signal, and the features of ofMRI define a potent tool that may be suitable for functional circuit analysis as well as global phenotyping of dysfunctional circuitry
    corecore