Physical Problems Solved By The Phase Integral Method

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Physical Problems Solved by the Phase-Integral Method

Author : Nanny Fröman
Publisher : Cambridge University Press
ISBN 13 : 1139434322
Total Pages : 230 pages
Book Rating : 4.1/5 (394 download)

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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.

Phase-Integral Method

Author : Nanny Fröman
Publisher : Springer Science & Business Media
ISBN 13 : 1461223423
Total Pages : 258 pages
Book Rating : 4.4/5 (612 download)

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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.

An Introduction to Phase-Integral Methods

Author : John Heading
Publisher : Courier Corporation
ISBN 13 : 0486497429
Total Pages : 178 pages
Book Rating : 4.4/5 (864 download)

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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.

Phase-Integral Method

Author : Nanny Fröman
Publisher : Springer
ISBN 13 : 9781461223436
Total Pages : 250 pages
Book Rating : 4.2/5 (234 download)

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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.

IABEM Symposium on Boundary Integral Methods for Nonlinear Problems

Author : Luigi Morino
Publisher : Springer Science & Business Media
ISBN 13 : 9401157065
Total Pages : 243 pages
Book Rating : 4.4/5 (11 download)

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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

Integral Methods in Science and Engineering

Author : Barbara S Bertram
Publisher : CRC Press
ISBN 13 : 1420036033
Total Pages : 371 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Integral Methods in Science and Engineering by : Barbara S Bertram

Download or read book Integral Methods in Science and Engineering written by Barbara S Bertram and published by CRC Press. This book was released on 2019-05-20 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on proceedings of the International Conference on Integral Methods in Science and Engineering, this collection of papers addresses the solution of mathematical problems by integral methods in conjunction with approximation schemes from various physical domains. Topics and applications include: wavelet expansions, reaction-diffusion systems, variational methods , fracture theory, boundary value problems at resonance, micromechanics, fluid mechanics, combustion problems, nonlinear problems, elasticity theory, and plates and shells.

Path Integrals in Physics

Author : M Chaichian
Publisher : CRC Press
ISBN 13 : 9780750308014
Total Pages : 360 pages
Book Rating : 4.3/5 (8 download)

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Book Synopsis Path Integrals in Physics by : M Chaichian

Download or read book Path Integrals in Physics written by M Chaichian and published by CRC Press. This book was released on 2001-07-01 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Path Integrals in Physics: Volume I, Stochastic Processes and Quantum Mechanics presents the fundamentals of path integrals, both the Wiener and Feynman type, and their many applications in physics. Accessible to a broad community of theoretical physicists, the book deals with systems possessing a infinite number of degrees in freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. It describes in detail various applications, including systems with Grassmann variables. Each chapter is self-contained and can be considered as an independent textbook. The book provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.

Boundary Element Methods for Heat Transfer with Phase Change Problems: Theory and Application

Author : S. G. Ahmed
Publisher : Bentham Science Publishers
ISBN 13 : 9815040898
Total Pages : 647 pages
Book Rating : 4.8/5 (15 download)

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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.

Path Integrals

Author : George J. Papadopoulos
Publisher : Springer Science & Business Media
ISBN 13 : 1468491407
Total Pages : 516 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Path Integrals by : George J. Papadopoulos

Download or read book Path Integrals written by George J. Papadopoulos and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Advanced Study Institute on "Path Integrals and Their Applications in Quantum, Statistical, and Solid State Physics" was held at the University of Antwerpen (R.U.C.A.), July 17-30, 1977. The Institute was sponsored by NATO. Co-sponsors were: A.C.E.C. (Belgium), Agfa-Gevaert (Belgium), l'Air Li~uide BeIge (Belgium), Be1gonucleaire (Belgium), Bell Telephone Mfg. Co. (Belgium), Boelwerf (Belgium), Generale BankmaatschappiJ (Belgium), I.B.M. (Belgium), Kredietbank (Belgium), National Science Foundation (U.S.A.), Siemens (Belgium). A total of 100 lecturers and partici pants attended the Institute. The development of path (or functional) integrals in relation to problems of stochastic nature dates back to the early 20's. At that time, Wiener succeeded in obtaining the fundamental solution of the diffusion e~uation using Einstein's joint probability of finding a Brownian particle in a succession of space intervals during a corresponding succession of time intervals. Dirac in the early 30's sowed the seeds of the path integral formulation of ~uantum mecha nics. However, the major and decisive step in this direction was taken with Feynman's works in ~uantum and statistical physics, and quantum electrodynamicso The applications now extend to areas such as continuous mechanics, and recently functional integration methods have been employed by Edwards for the study of polymerized matter

Special Techniques For Solving Integrals: Examples And Problems

Author : Khristo N Boyadzhiev
Publisher : World Scientific
ISBN 13 : 9811235775
Total Pages : 401 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Special Techniques For Solving Integrals: Examples And Problems by : Khristo N Boyadzhiev

Download or read book Special Techniques For Solving Integrals: Examples And Problems written by Khristo N Boyadzhiev and published by World Scientific. This book was released on 2021-12-10 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains techniques of integration which are not found in standard calculus and advanced calculus books. It can be considered as a map to explore many classical approaches to evaluate integrals. It is intended for students and professionals who need to solve integrals or like to solve integrals and yearn to learn more about the various methods they could apply. Undergraduate and graduate students whose studies include mathematical analysis or mathematical physics will strongly benefit from this material. Mathematicians involved in research and teaching in areas related to calculus, advanced calculus and real analysis will find it invaluable.The volume contains numerous solved examples and problems for the reader. These examples can be used in classwork or for home assignments, as well as a supplement to student projects and student research.

Perturbation Theory

Author : Giuseppe Gaeta
Publisher : Springer Nature
ISBN 13 : 1071626213
Total Pages : 601 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Perturbation Theory by : Giuseppe Gaeta

Download or read book Perturbation Theory written by Giuseppe Gaeta and published by Springer Nature. This book was released on 2022-12-16 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics. Less traditional fields of application, such as Biological Evolution, are also discussed. Leading scientists in each area of the field provide a comprehensive picture of the landscape and the state of the art, with the specific goal of combining mathematical rigor, explicit computational methods, and relevance to concrete applications. New to this edition are chapters on Water Waves, Rogue Waves, Multiple Scales methods, legged locomotion, Condensed Matter among others, while all other contributions have been revised and updated. Coverage includes the theory of (Poincare’-Birkhoff) Normal Forms, aspects of PT in specific mathematical settings (Hamiltonian, KAM theory, Nekhoroshev theory, and symmetric systems), technical problems arising in PT with solutions, convergence of series expansions, diagrammatic methods, parametric resonance, systems with nilpotent real part, PT for non-smooth systems, and on PT for PDEs [write out this acronym partial differential equations]. Another group of papers is focused specifically on applications to Celestial Mechanics, Quantum Mechanics and the related semiclassical PT, Quantum Bifurcations, Molecular Dynamics, the so-called choreographies in the N-body problem, as well as Evolutionary Theory. Overall, this unique volume serves to demonstrate the wide utility of PT, while creating a foundation for innovations from a new generation of graduate students and professionals in Physics, Mathematics, Mechanics, Engineering and the Biological Sciences.

Journal of Research of the National Bureau of Standards

Author :
Publisher :
ISBN 13 :
Total Pages : 712 pages
Book Rating : 4.U/5 (183 download)

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Book Synopsis Journal of Research of the National Bureau of Standards by :

Download or read book Journal of Research of the National Bureau of Standards written by and published by . This book was released on 1965 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Integrals in Quantum Field Theory and Statistical Physics

Author : V.N. Popov
Publisher : Springer Science & Business Media
ISBN 13 : 9781402003073
Total Pages : 316 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Functional Integrals in Quantum Field Theory and Statistical Physics by : V.N. Popov

Download or read book Functional Integrals in Quantum Field Theory and Statistical Physics written by V.N. Popov and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional integration is one of the most powerful methods of contempo rary theoretical physics, enabling us to simplify, accelerate, and make clearer the process of the theoretician's analytical work. Interest in this method and the endeavour to master it creatively grows incessantly. This book presents a study of the application of functional integration methods to a wide range of contemporary theoretical physics problems. The concept of a functional integral is introduced as a method of quantizing finite-dimensional mechanical systems, as an alternative to ordinary quantum mechanics. The problems of systems quantization with constraints and the manifolds quantization are presented here for the first time in a monograph. The application of the functional integration methods to systems with an infinite number of degrees of freedom allows one to uniquely introduce and formulate the diagram perturbation theory in quantum field theory and statistical physics. This approach is significantly simpler than the widely accepted method using an operator approach.

An Introductory Guide to Computational Methods for the Solution of Physics Problems

Author : George Rawitscher
Publisher : Springer
ISBN 13 : 3319427032
Total Pages : 227 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis An Introductory Guide to Computational Methods for the Solution of Physics Problems by : George Rawitscher

Download or read book An Introductory Guide to Computational Methods for the Solution of Physics Problems written by George Rawitscher and published by Springer. This book was released on 2018-10-24 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents fundamental aspects of modern spectral and other computational methods, which are not generally taught in traditional courses. It emphasizes concepts as errors, convergence, stability, order and efficiency applied to the solution of physical problems. The spectral methods consist in expanding the function to be calculated into a set of appropriate basis functions (generally orthogonal polynomials) and the respective expansion coefficients are obtained via collocation equations. The main advantage of these methods is that they simultaneously take into account all available information, rather only the information available at a limited number of mesh points. They require more complicated matrix equations than those obtained in finite difference methods. However, the elegance, speed, and accuracy of the spectral methods more than compensates for any such drawbacks. During the course of the monograph, the authors examine the usually rapid convergence of the spectral expansions and the improved accuracy that results when nonequispaced support points are used, in contrast to the equispaced points used in finite difference methods. In particular, they demonstrate the enhanced accuracy obtained in the solutionof integral equations. The monograph includes an informative introduction to old and new computational methods with numerous practical examples, while at the same time pointing out the errors that each of the available algorithms introduces into the specific solution. It is a valuable resource for undergraduate students as an introduction to the field and for graduate students wishing to compare the available computational methods. In addition, the work develops the criteria required for students to select the most suitable method to solve the particular scientific problem that they are confronting.

Publications of the National Bureau of Standards

Author : United States. National Bureau of Standards
Publisher :
ISBN 13 :
Total Pages : 772 pages
Book Rating : 4.M/5 ( download)

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Book Synopsis Publications of the National Bureau of Standards by : United States. National Bureau of Standards

Download or read book Publications of the National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1967 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integral Methods in Science and Engineering

Author : Christian Constanda
Publisher : Springer Nature
ISBN 13 : 303134099X
Total Pages : 407 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Integral Methods in Science and Engineering by : Christian Constanda

Download or read book Integral Methods in Science and Engineering written by Christian Constanda and published by Springer Nature. This book was released on 2023-10-31 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of articles on state-of-the-art developments in the construction of theoretical integral techniques and their application to specific problems in science and engineering. Chapters in this book are based on talks given at the Seventeenth International Conference on Integral Methods in Science and Engineering, held virtually in July 2022, and are written by internationally recognized researchers. This collection will be of interest to researchers in applied mathematics, physics, and mechanical, electrical, and petroleum engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential working tool.

Integral Methods in Science and Engineering

Author : Christian Constanda
Publisher : CRC Press
ISBN 13 : 100071666X
Total Pages : 249 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Integral Methods in Science and Engineering by : Christian Constanda

Download or read book Integral Methods in Science and Engineering written by Christian Constanda and published by CRC Press. This book was released on 2020-01-16 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on proceedings of the International Conference on Integral Methods in Science and Engineering, this collection of papers addresses the solution of mathematical problems by integral methods in conjunction with approximation schemes from various physical domains. Topics and applications include: wavelet expansions, reaction-diffusion systems, variational methods , fracture theory, boundary value problems at resonance, micromechanics, fluid mechanics, combustion problems, nonlinear problems, elasticity theory, and plates and shells. Volume 1 covers Analytic Methods.