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Physical Problems Solved By The Phase Integral Method
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Book Synopsis Physical Problems Solved by the Phase-Integral Method by : Nanny Fröman
Download or read book Physical Problems Solved by the Phase-Integral Method written by Nanny Fröman and published by Cambridge University Press. This book was released on 2002-06-13 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough introduction to one of the most efficient approximation methods for the analysis and solution of problems in theoretical physics and applied mathematics. It is written with practical needs in mind and contains a discussion of 50 problems with solutions, of varying degrees of difficulty. The problems are taken from quantum mechanics, but the method has important applications in any field of science involving second order ordinary differential equations. The power of the asymptotic solution of second order differential equations is demonstrated, and in each case the authors clearly indicate which concepts and results of the general theory are needed to solve a particular problem. This book will be ideal as a manual for users of the phase-integral method, as well as a valuable reference text for experienced research workers and graduate students.
Book Synopsis Phase-Integral Method by : Nanny Fröman
Download or read book Phase-Integral Method written by Nanny Fröman and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: The result of two decades spent developing and refining the phase-integral method to a high level of precision, the authors have applied this method to problems in various fields of theoretical physics. The problems treated are of a mathematical nature, but have important physical applications. This book will thus be of great use to research workers in various branches of theoretical physics, where the problems can be reduced to one-dimensional second-order differential equations of the Schrödinger type for which phase-integral solutions are required. Includes contributions from notable scientists who have already made use of the authors'technique.
Book Synopsis An Introduction to Phase-Integral Methods by : John Heading
Download or read book An Introduction to Phase-Integral Methods written by John Heading and published by Courier Corporation. This book was released on 2013-01-01 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The phase-integral method in mathematics, also known as the Wentzel-Kramers-Brillouin (WKB) method, is the focus of this introductory treatment. Author John Heading successfully steers a course between simplistic and rigorous approaches to provide a concise overview for advanced undergraduates and graduate students in mathematics and physics. Since the number of applications is vast, the text considers only a brief selection of topics and emphasizes the method itself rather than detailed applications. The process, once derived, is shown to be one of essential simplicity that involves merely the application of certain well-defined rules. Starting with a historical survey of the problem and its solutions, subjects include the Stokes phenomenon, one and two transition points, and applications to physical problems. An appendix and bibliography conclude the text.
Book Synopsis Phase-Integral Method by : Nanny Fröman
Download or read book Phase-Integral Method written by Nanny Fröman and published by Springer. This book was released on 2011-10-12 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The result of two decades spent developing and refining the phase-integral method to a high level of precision, the authors have applied this method to problems in various fields of theoretical physics. The problems treated are of a mathematical nature, but have important physical applications. This book will thus be of great use to research workers in various branches of theoretical physics, where the problems can be reduced to one-dimensional second-order differential equations of the Schrödinger type for which phase-integral solutions are required. Includes contributions from notable scientists who have already made use of the authors'technique.
Book Synopsis Advances in Atomic and Molecular Physics by :
Download or read book Advances in Atomic and Molecular Physics written by and published by Academic Press. This book was released on 1977-01-13 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Atomic and Molecular Physics
Book Synopsis Human and Machine Hearing by : Richard F. Lyon
Download or read book Human and Machine Hearing written by Richard F. Lyon and published by Cambridge University Press. This book was released on 2017-05-02 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes how human hearing works and how to build machines that analyze sounds in the same way that people do.
Book Synopsis Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra by : Veronika Pillwein
Download or read book Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra written by Veronika Pillwein and published by Springer Nature. This book was released on 2020-09-28 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is centered around the research areas of combinatorics, special functions, and computer algebra. What these research fields share is that many of their outstanding results do not only have applications in Mathematics, but also other disciplines, such as computer science, physics, chemistry, etc. A particular charm of these areas is how they interact and influence one another. For instance, combinatorial or special functions' techniques have motivated the development of new symbolic algorithms. In particular, first proofs of challenging problems in combinatorics and special functions were derived by making essential use of computer algebra. This book addresses these interdisciplinary aspects. Algorithmic aspects are emphasized and the corresponding software packages for concrete problem solving are introduced. Readers will range from graduate students, researchers to practitioners who are interested in solving concrete problems within mathematics and other research disciplines.
Download or read book Two-Phase Flow written by Cl Kleinstreuer and published by Routledge. This book was released on 2017-11-01 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate text provides a unified treatment of the fundamental principles of two-phase flow and shows how to apply the principles to a variety of homogeneous mixture as well as separated liquid-liquid, gas-solid, liquid-solid, and gas-liquid flow problems, which may be steady or transient, laminar or turbulent.Each chapter contains several sample problems, which illustrate the outlined theory and provide approaches to find simplified analytic descriptions of complex two-phase flow phenomena.This well-balanced introductory text will be suitable for advanced seniors and graduate students in mechanical, chemical, biomedical, nuclear, environmental and aerospace engineering, as well as in applied mathematics and the physical sciences. It will be a valuable reference for practicing engineers and scientists. A solutions manual is available to qualified instructors.
Book Synopsis Modern Developments in Vacuum Electron Sources by : Georg Gaertner
Download or read book Modern Developments in Vacuum Electron Sources written by Georg Gaertner and published by Springer Nature. This book was released on 2020-10-09 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an overview of modern cathodes and electron emitters for vacuum tubes and vacuum electron devices in general. It covers the latest developments in field emission theory as well as new methods towards improving thermionic and cold cathodes. It addresses thermionic cathodes, such as oxide cathodes, impregnated and scandate cathodes, as well as photocathodes and field emitters – the latter comprising carbon nanotubes, graphene and Spindt-type emitter arrays. Despite the rise and fall of the once dominant types of vacuum tubes, such as radio valves and cathode ray tubes, cathodes are continually being improved upon as new applications with increased demands arise, for example in electron beam lithography, high-power and high-frequency microwave tubes, terahertz imaging and electron sources for accelerators. Written by 17 experts in the field, the book presents the latest developments in cathodes needed for these applications, discussing the state of the art and addressing future trends.
Book Synopsis The Theory of Toroidally Confined Plasmas by : Roscoe B White
Download or read book The Theory of Toroidally Confined Plasmas written by Roscoe B White and published by World Scientific Publishing Company. This book was released on 2013-11-18 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate level textbook develops the theory of magnetically confined plasma, with the aim of bringing the reader to the level of current research in the field of thermonuclear fusion. It begins with the basic concepts of magnetic field description, plasma equilibria and stability, and goes on to derive the equations for guiding center particle motion in an equilibrium field. Topics include linear and nonlinear ideal and resistive modes and particle transport. It is of use to workers in the field of fusion both for its wide-ranging account of tokamak physics and as a kind of handbook or formulary. This edition has been extended in a number of ways. The material on mode-particle interactions has been reformulated and much new information added, including methodology for Monte Carlo implementation of mode destabilization. These results give explicit means of carrying out mode destabilization analysis, in particular for the dangerous fishbone mode. A new chapter on cyclotron motion in toroidal geometry has been added, with comparisons of the analysis of resonances using guiding center results. A new chapter on the use of lithium lined walls has been added, a promising means of lowering the complexity and cost of full scale fusion reactors. A section on nonlocal transport has been added, including an analysis of Levy flight simulations of ion transport in the reversed field pinch in Padova, RFX.
Book Synopsis Boundary Element Methods for Heat Transfer with Phase Change Problems: Theory and Application by : S. G. Ahmed
Download or read book Boundary Element Methods for Heat Transfer with Phase Change Problems: Theory and Application written by S. G. Ahmed and published by Bentham Science Publishers. This book was released on 2022-06-30 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical modelling of free and moving boundary problems are an important topic in engineering, industry, technology and theoretical sciences. These models allow us to make calculations involved in phase change transitions of materials due to heat transfer. Boundary layer applications are widespread in research and industry. Boundary Element Methods for Heat Transfer with Phase Change Problems: Theory and Application equips the reader with information about heat transfer problems occurring during phase changes. The book covers several boundary element methods, including methods for phase changes, fixed and moving domains and new approaches. The contents are rounded off with chapters on numerical results and industrial applications. Key features: - Simple, didactic presentation of boundary layer problems for heat transfer problems - Covers a wide range of boundary element methods - Includes methods for fixed and moving domains - Explains industrial applications of the methods - Includes solutions to numerical problems The book serves as a textbook for students of advanced mathematics and engineering. It is also a handbook for researchers working on numerical analysis, who require a focused volume on boundary element methods for heat transfer applications.
Book Synopsis Nonlinear Phenomena Research Perspectives by : Charles W. Wang
Download or read book Nonlinear Phenomena Research Perspectives written by Charles W. Wang and published by Nova Publishers. This book was released on 2007 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-linear, or chaotic behaviour in real world systems has been reported in electronic circuits and communications systems, chemical reactions, biological behaviour. Applications include solitons, integrable systems, cellular automata, pattern formation, qualitative structure and bifurcation theory, onset of chaos and turbulence, analytic dynamics, and transport phenomena. This book presents important new research in this dynamic field.
Book Synopsis Advanced Complex Analysis: A Comprehensive Course in Analysis, Part 2B by : Barry Simon
Download or read book Advanced Complex Analysis: A Comprehensive Course in Analysis, Part 2B written by Barry Simon and published by American Mathematical Soc.. This book was released on 2015-11-02 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 2B provides a comprehensive look at a number of subjects of complex analysis not included in Part 2A. Presented in this volume are the theory of conformal metrics (including the Poincaré metric, the Ahlfors-Robinson proof of Picard's theorem, and Bell's proof of the Painlevé smoothness theorem), topics in analytic number theory (including Jacobi's two- and four-square theorems, the Dirichlet prime progression theorem, the prime number theorem, and the Hardy-Littlewood asymptotics for the number of partitions), the theory of Fuschian differential equations, asymptotic methods (including Euler's method, stationary phase, the saddle-point method, and the WKB method), univalent functions (including an introduction to SLE), and Nevanlinna theory. The chapters on Fuschian differential equations and on asymptotic methods can be viewed as a minicourse on the theory of special functions.
Book Synopsis Processes in GeoMedia—Volume V by : Tatiana Chaplina
Download or read book Processes in GeoMedia—Volume V written by Tatiana Chaplina and published by Springer Nature. This book was released on 2022-01-31 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book corresponds to the fifth volume of the series focused on Processes in GeoMedia and their research on the dynamic of natural systems, including theoretical and experimental studies of the processes occurring in the earth's bowels, the ocean, and the atmosphere. This volume pays particular attention to geomechanical aspects of the production of hydrocarbons. This fifth volume of Processes in GeoMedia corresponds to the English edition of the journal Processes in GeoMedia, published originally in Russian.
Book Synopsis An Integral Approach to Transient Heat-conduction Problems with Phase Transition by : Tse-Fou Zien
Download or read book An Integral Approach to Transient Heat-conduction Problems with Phase Transition written by Tse-Fou Zien and published by . This book was released on 1975 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: An approximate method for studying transient heat-conduction problems is presented. Its application to various linear problems and nonlinear problems involving phase transitions is described by means of several idealized problems. The method is basically a refined version of the well-known Karman-Pohlhausen integral technique in boundary-layer theory, and represents a further development of the basic ideas previously exploited to calculate skin friction and heat transfer in boundary-layer flows. The approximate solutions obtained are extensively compared with existing exact solutions and those of the classical Karman-Pohlhausen method. From the simplicity and accuracy of the present method as demonstrated in the results, the potential utility of the method in providing simple, engineering solutions to complex aerodynamic heating problems can be inferred.
Book Synopsis IABEM Symposium on Boundary Integral Methods for Nonlinear Problems by : Luigi Morino
Download or read book IABEM Symposium on Boundary Integral Methods for Nonlinear Problems written by Luigi Morino and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the IABEM Symposium held in Pontignano, Italy, May 28-June 3, 1995
Book Synopsis Stark Effect in a Hydrogenic Atom Or Ion by : Nanny Frman
Download or read book Stark Effect in a Hydrogenic Atom Or Ion written by Nanny Frman and published by World Scientific. This book was released on 2008 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats the Stark effect of a hydrogenic atom or ion in a homogeneous electric field. It begins with a thorough review of previous work in this field since 1926. After the Schrdinger equation has been separated with respect to time dependence, centre of mass motion and internal motion, followed by a discussion of its eigenfunctions, the exact development in time of the probability amplitude for a decaying state is obtained by means of a formula analogous to the Fock-Krylov theorem. From this formula one obtains by means of the phase-integral approximation generated from a particular base function non-relativistic formulas for profiles, energies and half-widths of the Stark levels. These formulas are then transformed into formulas expressed in terms of complete elliptic integrals. The formulas thus obtained are used for the calculation of energies and half-widths of 198 different Stark states, which are compared with the corresponding results obtained by other authors with the use of other methods. An analysis of this material indicates that the energy values obtained by the phase-integral method are at least as accurate as those obtained by other methods in more than half of the 198 cases. The book presents one of the most comprehensive asymptotic treatments of the Stark effect in atomic hydrogen that have been published.
