Download or read book Phase integral approximations applied to problems concerning a particle in an exponential potential and systematization of the evaluation of integrals by the method of steepest descents written by Erik Walles and published by . This book was released on 1980 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Phase integral Approximations Applied to Problems Concerning a Particle in an Exponential Potential and Systematization of the Evaluation of Integrals by the Method of Steepest Decents written by Erik Walles and published by . This book was released on 1980 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Phase Integral Approximations Applied to Problems Concerning a Particle in an Exponential Potential and Sysematization of the Evaluation of Integrals by the Method of Steepest Descents written by Uppsala universitet. Matematisk-naturvetenskapliga fakulteten and published by . This book was released on 1980 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Svensk bokf rteckning written by and published by . This book was released on 1981 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Phase integral Methods written by John Heading and published by . This book was released on 1962 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Chemical Reactor Analysis and Design written by Gilbert F. Froment and published by . This book was released on 1990-01-16 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the Second Edition of the standard text on chemical reaction engineering, beginning with basic definitions and fundamental principles and continuing all the way to practical applications, emphasizing real-world aspects of industrial practice. The two main sections cover applied or engineering kinetics, reactor analysis and design. Includes updated coverage of computer modeling methods and many new worked examples. Most of the examples use real kinetic data from processes of industrial importance.
Download or read book Rigorous Time Slicing Approach to Feynman Path Integrals written by Daisuke Fujiwara and published by Springer. This book was released on 2018-08-15 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proves that Feynman's original definition of the path integral actually converges to the fundamental solution of the Schrödinger equation at least in the short term if the potential is differentiable sufficiently many times and its derivatives of order equal to or higher than two are bounded. The semi-classical asymptotic formula up to the second term of the fundamental solution is also proved by a method different from that of Birkhoff. A bound of the remainder term is also proved.The Feynman path integral is a method of quantization using the Lagrangian function, whereas Schrödinger's quantization uses the Hamiltonian function. These two methods are believed to be equivalent. But equivalence is not fully proved mathematically, because, compared with Schrödinger's method, there is still much to be done concerning rigorous mathematical treatment of Feynman's method. Feynman himself defined a path integral as the limit of a sequence of integrals over finite-dimensional spaces which is obtained by dividing the time interval into small pieces. This method is called the time slicing approximation method or the time slicing method.This book consists of two parts. Part I is the main part. The time slicing method is performed step by step in detail in Part I. The time interval is divided into small pieces. Corresponding to each division a finite-dimensional integral is constructed following Feynman's famous paper. This finite-dimensional integral is not absolutely convergent. Owing to the assumption of the potential, it is an oscillatory integral. The oscillatory integral techniques developed in the theory of partial differential equations are applied to it. It turns out that the finite-dimensional integral gives a finite definite value. The stationary phase method is applied to it. Basic properties of oscillatory integrals and the stationary phase method are explained in the book in detail.Those finite-dimensional integrals form a sequence of approximation of the Feynman path integral when the division goes finer and finer. A careful discussion is required to prove the convergence of the approximate sequence as the length of each of the small subintervals tends to 0. For that purpose the book uses the stationary phase method of oscillatory integrals over a space of large dimension, of which the detailed proof is given in Part II of the book. By virtue of this method, the approximate sequence converges to the limit. This proves that the Feynman path integral converges. It turns out that the convergence occurs in a very strong topology. The fact that the limit is the fundamental solution of the Schrödinger equation is proved also by the stationary phase method. The semi-classical asymptotic formula naturally follows from the above discussion.A prerequisite for readers of this book is standard knowledge of functional analysis. Mathematical techniques required here are explained and proved from scratch in Part II, which occupies a large part of the book, because they are considerably different from techniques usually used in treating the Schrödinger equation.
Download or read book Analytic Methods for Design Practice written by Gyung-Jin Park and published by Springer Science & Business Media. This book was released on 2007-05-31 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the world of modern engineering, rigorous and definite design methodologies are needed. However, many parts of engineering design are performed in either an ad-hoc manner or based on the intuition of the engineer. This is the first book to look at both stages of the design process – conceptual design and detailed design – and detail design methodologies for every step of the design process. Case studies show how practical design problems can be solved with analytic design methods. This book is an excellent introduction to the subject. The book’s practical focus will make the book useful to practicing engineers as a practical handbook of design.
Download or read book The Fundamentals of Density Functional Theory written by and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Density functional methods form the basis of a diversified and very active area of present days computational atomic, molecular, solid state and even nuclear physics. A large number of computational physicists use these meth ods merely as a recipe, not reflecting too much upon their logical basis. One also observes, despite of their tremendeous success, a certain reservation in their acceptance on the part of the more theoretically oriented researchers in the above mentioned fields. On the other hand, in the seventies (Thomas Fermi theory) and in the eighties (Hohenberg-Kohn theory), density func tional concepts became subjects of mathematical physics. In 1994 a number of activities took place to celebrate the thirtieth an niversary of Hohenberg-Kohn-Sham theory. I took this an occassion to give lectures on density functional theory to senior students and postgraduates in the winter term of 1994, particularly focusing on the logical basis of the the ory. Preparing these lectures, the impression grew that, although there is a wealth of monographs and reviews in the literature devoted to density func tional theory, the focus is nearly always placed upon extending the practical applications of the theory and on the development of improved approxima tions. The logical foundadion of the theory is found somewhat scattered in the existing literature, and is not always satisfactorily presented. This situation led to the idea to prepare a printed version of the lecture notes, which resulted in the present text.
Download or read book Advances in Computational Biology written by Luis F. Castillo and published by Springer Science & Business Media. This book was released on 2013-08-04 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume compiles accepted contributions for the 2nd Edition of the Colombian Computational Biology and Bioinformatics Congress CCBCOL, after a rigorous review process in which 54 papers were accepted for publication from 119 submitted contributions. Bioinformatics and Computational Biology are areas of knowledge that have emerged due to advances that have taken place in the Biological Sciences and its integration with Information Sciences. The expansion of projects involving the study of genomes has led the way in the production of vast amounts of sequence data which needs to be organized, analyzed and stored to understand phenomena associated with living organisms related to their evolution, behavior in different ecosystems, and the development of applications that can be derived from this analysis.
Download or read book World Terraced Landscapes History Environment Quality of Life written by Mauro Varotto and published by Springer. This book was released on 2018-12-06 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects the best scientific contribution presented in the 3rd World Conference on Terraced Landscapes held in Italy from 6th to 15th October 2016, offering a deep and multifaceted insight into the remarkable heritage of terraced landscapes in Italy, in Europe and in the World (America, Asia, Australia). It consists of 2 parts: a geographical overview on some of the most important terraced systems in the world (1st part), and a multidisciplinary approach that aims to promote a multifunctional vision of terraces, underlining how these landscapes meet different needs: cultural and historical values, environmental and hydrogeological functions, quality and variety of food, community empowerment and sustainable development (2nd part). The volume offers a great overview on strengths, weaknesses, functions and strategies for terraced landscapes all over the world, summarizing in a final manifest the guidelines to provide a future for these landscapes as natural and cultural heritage.
Download or read book Soft Computing Applications written by Valentina Emilia Balas and published by Springer Nature. This book was released on 2020-08-14 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the 8th International Workshop on Soft Computing Applications, SOFA 2018, held on 13–15 September 2018 in Arad, Romania. The workshop was organized by Aurel Vlaicu University of Arad, in conjunction with the Institute of Computer Science, Iasi Branch of the Romanian Academy, IEEE Romanian Section, Romanian Society of Control Engineering and Technical Informatics – Arad Section, General Association of Engineers in Romania – Arad Section and BTM Resources Arad. The papers included in these proceedings, published post-conference, cover the research including Knowledge-Based Technologies for Web Applications, Cloud Computing, Security Algorithms and Computer Networks, Business Process Management, Computational Intelligence in Education and Modelling and Applications in Textiles and many other areas related to the Soft Computing. The book is directed to professors, researchers, and graduate students in area of soft computing techniques and applications.
Download or read book Recent Advances in Global Optimization written by Christodoulos A. Floudas and published by Princeton University Press. This book was released on 2014-07-14 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will present the papers delivered at the first U.S. conference devoted exclusively to global optimization and will thus provide valuable insights into the significant research on the topic that has been emerging during recent years. Held at Princeton University in May 1991, the conference brought together an interdisciplinary group of the most active developers of algorithms for global optimization in order to focus the attention of the mathematical programming community on the unsolved problems and diverse applications of this field. The main subjects addressed at the conference were advances in deterministic and stochastic methods for global optimization, parallel algorithms for global optimization problems, and applications of global optimization. Although global optimization is primarily a mathematical problem, it is relevant to several other disciplines, including computer science, applied mathematics, physical chemistry, molecular biology, statistics, physics, engineering, operations research, communication theory, and economics. Global optimization problems originate from a wide variety of mathematical models of real-world systems. Some of its applications are allocation and location problems and VLSI and data-base design problems. Originally published in 1991. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Download or read book Advanced Mineralogy written by A.S. Marfunin and published by Springer. This book was released on 1994-08-23 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: All existing introductory reviews of mineralogy are written accord ing to the same algorithm, sometimes called the "Dana System of Mineralogy". Even modern advanced handbooks, which are cer tainly necessary, include basic data on minerals and are essentially descriptive. When basic information on the chemistry, structure, optical and physical properties, distinguished features and para genesis of 200-400 minerals is presented, then there is practically no further space available to include new ideas and concepts based on recent mineral studies. A possible solution to this dilemma would be to present a book beginning where introductory textbooks end for those already famil iar with the elementary concepts. Such a volume would be tailored to specialists in all fields of science and industry, interested in the most recent results in mineralogy. This approach may be called Advanced Mineralogy. Here, an attempt has been made to survey the current possibilities and aims in mineral matter investigations, including the main characteristics of all the methods, the most important problems and topics of mineral ogy, and related studies. The individual volumes are composed of short, condensed chap ters. Each chapter presents in a complete, albeit condensed, form specific problems, methods, theories, and directions of investigations, and estimates their importance and strategic position in science and industry.
Download or read book Dielectrics and Waves written by Arthur R. Von Hippel and published by Artech House Publishers. This book was released on 1995 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Use of Satellite and In Situ Data to Improve Sustainability written by Felix Kogan and published by Springer. This book was released on 2011-01-18 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than 30-year operational satellite data have already been used for monitoring land, ocean and atmosphere. These applications have contributed to improve sustainable economy, produce healthy environment and enhance human life. The Advanced Research Workshop sponsored by NATO and organized by the USA’s National Oceanic and Atmospheric Administration and Ukrainian’s Space Agency bring the scientists with the most mature research designed for practical use. The goals were to select those which is used for services today and identify the areas to expand research and services. Scientific and application results of the Workshop presented in this book can be used today in agriculture, forestry, water resources, healthy coastal life and fisheries, climate and land cover change, anthropogenic activities and others. The presented papers provide information on how to use operational satellites and in situ measurements for early detection of large-scale droughts, floods and fires, diagnose crop and pasture annual losses, predict periods with health/unhealthy vegetation based on such climate forcing events as ENSO, monitor air quality and geomagnetic activities, assess land cover trends in responce to global warming etc. The available satellite/ground information and method is currently warn with a lead time sufficient to respond, recover and protect.
Download or read book Hydrogen Materials Science and Chemistry of Metal Hydrides written by Michael D. Hampton and published by Springer Science & Business Media. This book was released on 2002-08-31 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of metal hydrides opens up promising avenues for the solution of world energy problems, as well as casting light on the interactions of hydrogen with materials, the role of hydrogen in materials science, and the chemistry of metal hydrides, all of which are discussed in this book in terms that range from a global look at the new vision of energy and how hydrogen fits into that future to reviews such as a look at nickel hydride over the last 40 years. Very specific current research in such areas as hydrogen in materials science discuss properties like superconductivity, diffusion EMF, magnetic properties, physicochemical properties, phase composition, and permeability. Hydrogen can also be used as a processing or alloying agent, and in the synthesis of battery electrodes, composite materials and alloys. The interaction of hydrogen with many metals, composites and alloys offers potential hydrogen storage systems. There is also a discussion of hydrogen sensors.
