Complex quantum systems : analysis of large Coulomb systems / / editor: Heinz Siedentop

• Record Nr.: UNINA9911089964703321
• Pubbl/distr/stampa: [Hackensack], NJ, : World Scientific, c2013; New Jersey : , : World Scientific, , [2013]; �2013
• ISBN: 9789814460156; 981446015X; 9789814460149
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (303 pages)
• Collana: Lecture notes series, , 1793-0758 ; ; v. 24
• Altri autori (Persone): SiedentopHeinz
• Disciplina: 530.12
• Soggetti: Quantum statistics; Quantum electrodynamics - Mathematics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Intro -- CONTENTS -- Foreword -- Preface -- Stability of Matter Rafael D. Benguria and Benjamın A. Loewe -- 1. Introduction: The stability of quantum systems: A historical overview -- 2. Stability of Matter: The classical proof of Lieb and Thirring -- 2.1. Stability of the hydrogen atom in non-relativistic quantum mechanics -- 2.2. Stability of a system of N electrons in non-relativistic quantum mechanics -- 2.3. Stability of a many particle system via Thomas-Fermi theory -- 2.4. Bibliographical remarks -- 3. Lieb-Thirring Inequalities -- 3.1. Use of commutation methods to prove the Lieb-Thirring inequality for = 3/2 in dimension 1 -- 3.2. The Eden-Foias bound ([46]) -- 3.3. Bibliographical remarks -- 4. Electrostatic Inequalities -- 5. The Maximum Number of Electrons an Atom Can Bind -- 5.1. The maximum number of electrons for a one center case in the Thomas-Fermi model -- 5.2. Bound on Nc(Z) for the TFW model in the atomic case -- 6. The Stability of Matter for a Relativistic Toy Model -- 6.1. Bibliographical remarks -- 7. A New Lieb-Oxford Bound with Gradient Corrections -- Acknowledgments -- Appendix: A Short History of the Atom -- References -- Mathematical Density and Density Matrix ; Functional Theory (DFT and DMFT) Volker Bach -- 1. Introduction -- 2. Exchange Correlation and LDA -- 3. Kinetic Energy and Lieb-Thirring Inequality -- 4. Thomas-Fermi Theory and Stability of Matter -- 5. Hartree-Fock Theory -- 6. Correlation Estimate Improving the Lieb-Oxford Inequality -- 7. Accuracy of the Hartree-Fock Approximation for Large Neutral Atoms -- 8. N-Representability -- Acknowledgments -- References -- On the Dynamics of a Fermi Gas in a Random Medium with Dynamical Hartree-Fock Interactions Thomas Chen -- 1. Introduction -- Acknowledgment -- 2. Fermi Gas in a Random Medium -- 2.1. Statement of the main results.; 2.2. Boltzmann limit of the momentum distribution function -- 2.3. Outline of the proof -- 2.4. Feynman graph expansion -- 2.5. Classification of graphs -- 2.6. Discussion of the result -- 3. Persistence of Quasifreeness in the Boltzmann Limit -- 3.1. Outline of the proof of Theorem 3.1 -- 3.1.1. Completely disconnected graphs -- 3.1.2. Non-disconnected graphs -- 4. Fermi Gas with Dynamical Hartree-Fock Interactions -- 4.1. Statement of main results -- 4.1.1. The regime λ ≤ Cη2 -- 4.1.2. The regime η = o(√λ) -- 4.1.3. The regime t = T/η2 and λ = Oη(1) -- References -- On the Minimization of Hamiltonians over Pure Gaussian States Jan Derezinski, Marcin Napiorkowski, and Jan Philip Solovej -- 1. Introduction -- Acknowledgments -- 2. Preliminaries -- 2.1. 2nd quantization -- 2.2. Wick quantization -- 2.3. Bogoliubov transformations -- 2.4. Pure Gaussian states -- 3. Main Result -- References -- Variational Approach to Electronic Structure Calculations on Second-Order Reduced Density Matrices and the N-Representability Problem Maho Nakata, Mituhiro Fukuda, and Katsuki Fujisawa -- 1. Introduction -- 2. The Reduced-Density-Matrix Method -- 2.1. Pure states and ensemble states -- 2.2. The first-order and second-order reduced density matrices -- 2.2.1. Coordinate representation -- 2.2.2. Second-quantized representation -- 2.2.3. Equivalence between the coordinate and second-quantized representations -- 2.2.4. Some properties of 1- and 2-RDMs -- 2.3. Solving the ground state problem using 1- and 2-RDMs -- 2.4. The N-representability problem and the N-representability conditions -- 2.5. On the complete N-representability conditions -- 2.6. Formulating the variational problem and its geometrical representation -- 2.7. Some of the known necessary N-representability conditions -- 2.8. The reduced-density-matrix method -- 2.9. Interpreting the conditions.; 3. Formulating the RDM Problem as a Semidefinite Program and its Solution Using the Interior-Point Method -- 3.1. Semidefinite program -- 3.2. Formulation of the RDM problem as an SDP -- 3.3. Theoretical computational complexity of the primal-dual interior-point method -- 4. Some Historical Remarks -- 5. Numerical Results for the RDM Method -- 5.1. New numerical results for larger systems -- 5.2. Summary of the numerical experiments -- 6. Concluding Remarks -- Acknowledgments -- References -- Fermionic Quantum Many-Body Systems: A Quantum Information Approach Christina V. Kraus -- 1. Introduction -- 2. Pairing in Fermionic Systems: A Quantum Information Perspective -- 2.1. Motivation -- 2.2. Pairing theory -- 2.3. Detection and quantification of pairing -- 2.3.1. Detection of pairing -- 2.4. Examples: Fermionic Gaussian states and number-conserving states -- 2.4.1. Pairing of Gaussian states -- 2.4.2. Pairing of number-conserving states -- 2.5. Pairing as a resource -- 3. Fermionic Projected Entangled Pair State -- 3.1. A review of the PEPS-construction -- 3.2. Construction of fPEPS -- 3.3. Relation between fPEPS and PEPS -- 3.4. Examples -- 4. Conclusion and Outlook -- Acknowledgments -- References -- Hydrogen-Like Atoms in ; Relativistic QED Martin Konenberg, Oliver Matte, and Edgardo Stockmeyer -- 1. Introduction -- 2. Definition of the Models -- 2.1. Operators in Fock-space -- 2.2. Interaction term -- 2.3. The semi-relativistic Pauli-Fierz and no-pair Hamiltonians -- 2.4. How to deal with the non-local terms -- 3. Self-Adjointness -- 3.1. Diamagnetic inequalities in QED -- 3.2. Semi-boundedness -- 4. Bounds on the Ionization Energy -- 5. Exponential Localization -- 5.1. A general strategy to prove the localization of spectral subspaces -- 5.2. Choice of the comparison operator Y -- 5.3. Conjugation of Y with exponential weights.; 6. Existence of Ground States with Mass -- 6.1. Operators with photon mass -- 6.2. Discretization of the photon momenta -- 6.3. Comparison of operators with different coupling functions -- 6.4. Higher order estimates and their consequences -- 6.5. Continuity of the ionization thresholds and ground state energies -- 6.6. Proofs of the existence of ground states with mass -- 7. Infra-Red Bounds -- 7.1. The gauge transformed operator -- 7.2. Soft photon bound for the semi-relativistic Pauli-Fierz operator -- 8. Existence of Ground States -- 8.1. Ground states without photon mass -- 8.2. Ground state degeneracy -- 9. Commutator Estimates -- 9.1. Basic estimates -- 9.2. Commuting projections with the field energy -- 9.3. Double commutators -- Acknowledgments -- References.
• Sommario/riassunto: This volume is based on lectures given during the program Complex Quantum Systems held at the National University of Singapore's Institute for Mathematical Sciences from 17 February to 27 March 2010. It guides the reader through two introductory expositions on large Coulomb systems to five of the most important developments in the field: derivation of mean field equations, derivation of effective Hamiltonians, alternative high precision methods in quantum chemistry, modern many body methods originating from quantum information, and - the most complex - semirelativistic quantum electrodynamics.

Digital transformation for the process industries : a roadmap / / Osvaldo A. Bascur

• Record Nr.: UNINA9911146780303321
• Autore: Bascur O. A (Osvaldo A.)
• Pubbl/distr/stampa: Boca Raton : , : CRC Press, Taylor & Francis Group, , 2021
• ISBN: 1-00-301052-0; 1-003-01052-0; 1-000-16538-8; 1-000-16548-5; 9781003010524
• Edizione: [First edition.]
• Descrizione fisica: 1 online resource (321 pages)
• Disciplina: 660.028/5; 658.5
• Soggetti: Chemical engineering - Data processing; Industrial management - Data processing; Operations research - Data processing
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 1. Advancing to an Industrial Digital Data Infrastructure2. Building the Foundation3. Using EIDI Data as a Strategic Asset4. Advanced Analysis Using Unit Data and Event Templates5. The Humans behind the Data: Visualization and Collaboration6. Preventing Abnormal Situations7. Energy Management and Operational Improvements8. Successful Examples of Enterprise-Wide Digital Transformation9. Beyond the Refinery--Connecting the Ecosystem10. Operational and Business Analytics Integration11. ProcIndustries Enterprise-Wide Rollout12. The Future of the Digital Enterprise
• Sommario/riassunto: Imagine if your process manufacturing plants were running so well that your production, safety, environmental, and profitability targets were being met so that your subject matter experts could focus on data-driven business improvements. Through proper use and analysis of your existing operations data, your company can become an industry leader and reward your stakeholders. Written in an engaging and easily understandable manner, this book demonstrates a step-by-step ; process of how an organization can effectively utilize technology and make the necessary culture changes to achieve operational excellence. You will see how several industry-leading companies have used an effective real-time data infrastructure for mission-critical business use cases. The book also addresses challenges involved, such as effectively integrating operational (OT) data with business (IT) systems to enable a more proactive, predictive management model for a fleet of process plants. Some of the things you will take away: Learn how a real-time data infrastructure enables transformation of raw sensor data into contextualized information for operational insights and business process improvement. Understand how reusing the same operational data for multiple use cases significantly impacts fleet management, profitability, and asset stewardship. See how a simple digital unit template representing production flows can be repeatedly used to identify critical inefficiencies in plant operations. Discover best practices of deploying real-time situational awareness alerts and predictive analytics. Realize how to transform your organization into a data-driven culture for continuous sustainable improvement. Find out how leading companies integrate operations data with business intelligence and predictive analytics tools in a corporate on-premises or cloud-enabled environment. Learn how industry-leading companies have imaginatively used a real-time data infrastructure to improve yields, reduce cycle times, and slash operating costs. This book is targeted for process industries production and operations leadership, senior engineers, IT management, CIOs, and service providers to those industries. Academics will benefit from latest data analysis strategies. This book guides readers to use the best, results-proven approaches to ensure operational excellence.

Facilitating state health exchange communication through the use of health literate practices : workshop summary / / Maria Hewitt, rapporteur ; Institute of Medicine of the National Academies

• Record Nr.: UNINA9911141833203321
• Pubbl/distr/stampa: Washington, D.C., : National Academies Press, 2012
• ISBN: 0-309-22032-7; 1-280-12330-3; 9786613527165; 0-309-22030-0
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (117 p.)
• Altri autori (Persone): HewittMaria
• Disciplina: 610.696
• Soggetti: Medical informatics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "Roundtable on Health Literacy, Board on Population Health and Public Health Practice."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Front Matter""; ""Reviewers""; ""Acknowledgments""; ""Contents""; ""1 Introduction""; ""2 State Health Insurance Exchanges Overview""; ""3 State Insurance Exchanges Impact on Consumers""; ""4 Health Literacy Relevance to Health Insurance Exchanges""; ""5 Current Best Practices in Developing Materials and Communicating with Consumers""; ""6 Reflections on Lessons Learned""; ""Appendix A: Workshop Agenda""; ""Appendix B: Workshop Speaker Biosketches""; ""Appendix C: Statement on Health Plan Leadership in Advancing Health Literacy and Clear Health Communication""
• Sommario/riassunto: "Implementation of the Affordable Care Act (ACA) of 2010 will result in significant changes to the U.S. health care system. Among its many provisions, the ACA will extend access to health care coverage to millions of Americans who have been previously uninsured. Many of the newly eligible health insurance consumers will be individuals of low health literacy, some speakers of English and others more comfortable using languages other than English. Health insurance terms such as "deductible," "co-insurance," and "out-of-pocket limit" are difficult to communicate even to those with moderate-to-high levels of health literacy and so health exchanges will face challenges as they attempt to ; communicate to the broader community. In addition to having to convey some of these basic, and yet complex, principles of insurance, state exchanges will be attempting to adapt to the many changes to enrollment and eligibility brought about by ACA. The Institute of Medicine (IOM) convened the Roundtable on Health Literacy that brings together leaders from the federal government, foundations, health plans, associations, and private companies to discuss challenges facing health literacy practice and research and to identify approaches to promote health literacy in both the public and private sectors. The roundtable sponsored a workshop in Washington, DC, on July 19, 2011, that focused on ways in which health literacy can facilitate state health insurance exchange communication with potential enrollees. The roundtable's workshop focused on four topics: (1) lessons learned from existing state insurance exchanges; (2) the impact of state insurance exchanges on consumers; (3) the relevance of health literacy to health insurance exchanges; and (4) current best practices in developing materials and communicating with consumers. Facilitating State Health Exchange Communication Through the Use of Health Literate Practices summarizes the presentations and discussion that occurred during the workshop. The report provides an overview of health insurance exchanges, presents evidence on the extent to which consumers understand underlying health insurance concepts, and describes the relevancy of health literacy to health insurance reform and how health literacy interventions can facilitate the implementation of health insurance reforms. The report also provides a review of best practices in developing materials and communicating with consumers, and concludes with reflections on the workshop presentations and discussions by members of the roundtable and its chair"--Publisher's description.