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Phase Integral Method


Phase Integral Method
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An Introduction To Phase Integral Methods


An Introduction To Phase Integral Methods
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Author : John Heading
language : en
Publisher: Courier Corporation
Release Date : 2013-06-03

An Introduction To Phase Integral Methods written by John Heading and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-03 with Mathematics categories.


Introductory treatment steers a course between simplistic and rigorous approaches to provide a concise overview for advanced undergraduates and graduate students. Topics include Stokes phenomenon, one and two transition points, applications. 1962 edition.



Physical Problems Solved By The Phase Integral Method


Physical Problems Solved By The Phase Integral Method
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Author : Nanny Fröman
language : en
Publisher: Cambridge University Press
Release Date : 2002-06-13

Physical Problems Solved By The Phase Integral Method written by Nanny Fröman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-06-13 with Science categories.


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


Phase Integral Method
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Author : Nanny Fröman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09

Phase Integral Method written by Nanny Fröman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-09 with Mathematics categories.


The efficiency of the phase-integral method developed by the present au thors has been shown both analytically and numerically in many publica tions. With the inclusion of supplementary quantities, closely related to new Stokes constants and obtained with the aid of comparison equation technique, important classes of problems in which transition points may approach each other become accessible to accurate analytical treatment. The exposition in this monograph is of a mathematical nature but has important physical applications, some examples of which are found in the adjoined papers. Thus, we would like to emphasize that, although we aim at mathematical rigor, our treatment is made primarily with physical needs in mind. To introduce the reader into the background of this book, we start by de scribing the phase-integral approximation of arbitrary order generated from an unspecified base function. This is done in Chapter 1, which is reprinted, after minor changes, from a review article. Chapter 2 is the result of re search work that was pursued during more than two decades, interrupted at times. It started in the sixties, when we were still using a phase-integral approximation, which in our present terminology corresponds to a special choice of the base function. At the time our primary aim was to derive expressions for the supplementary quantities needed in order to obtain an accurate connection formula for a real potential barrier, when the energy lies in the neighborhood of the top of the barrier.



An Introduction To Phase Integral Methods


An Introduction To Phase Integral Methods
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Author : J Heading
language : en
Publisher: Hassell Street Press
Release Date : 2021-09-09

An Introduction To Phase Integral Methods written by J Heading and has been published by Hassell Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-09 with categories.


This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.



Phase Integral Method


Phase Integral Method
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Author : Nanny Fröman
language : en
Publisher: Springer
Release Date : 2011-10-12

Phase Integral Method written by Nanny Fröman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-12 with Mathematics categories.


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.



Heat Conduction


Heat Conduction
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Author : M. Necati Özışık
language : en
Publisher: John Wiley & Sons
Release Date : 1993-03-22

Heat Conduction written by M. Necati Özışık and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-03-22 with Science categories.


This Second Edition for the standard graduate level course in conduction heat transfer has been updated and oriented more to engineering applications partnered with real-world examples. New features include: numerous grid generation--for finding solutions by the finite element method--and recently developed inverse heat conduction. Every chapter and reference has been updated and new exercise problems replace the old.



Techniques And Applications Of Path Integration


Techniques And Applications Of Path Integration
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Author : L. S. Schulman
language : en
Publisher: Courier Corporation
Release Date : 2005-12-27

Techniques And Applications Of Path Integration written by L. S. Schulman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-27 with Science categories.


Suitable for advanced undergraduates and graduate students, this text requires only a first course in quantum mechanics. The first part develops the techniques of path integration; the second section, dealing with applications, covers a host of illustrative examples. 26 figures. 1981 edition.



Magnetohydrodynamic Waves In Geospace


Magnetohydrodynamic Waves In Geospace
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Author : A.D.M. Walker
language : en
Publisher: CRC Press
Release Date : 2019-07-28

Magnetohydrodynamic Waves In Geospace written by A.D.M. Walker and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-28 with Science categories.


Solar-terrestrial physics deals with phenomena in the region of space between the surface of the Sun and the upper atmosphere of the Earth, a region dominated by matter in a plasma state. This area of physics describes processes that generate the solar wind, the physics of geospace and the Earth's magnetosphere, and the interaction of magnetospheri



Summary Technical Report Of The Committee On Propagation Ndrc


Summary Technical Report Of The Committee On Propagation Ndrc
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Author : United States. Office of Scientific Research and Development. National Defense Research Committee
language : en
Publisher:
Release Date : 1946

Summary Technical Report Of The Committee On Propagation Ndrc written by United States. Office of Scientific Research and Development. National Defense Research Committee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1946 with Meteorology categories.




Theory Of Toroidally Confined Plasmas The Fourth Edition


Theory Of Toroidally Confined Plasmas The Fourth Edition
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Author : Roscoe B White
language : en
Publisher: World Scientific
Release Date : 2025-02-20

Theory Of Toroidally Confined Plasmas The Fourth Edition written by Roscoe B White and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.


This updated edition delves into the intricate challenges of high-energy confinement in tokamaks and stellarators, exploring phenomena like mode avalanches, chirping, and particle resonances. Building on foundational principles, the book examines unexpected insights into magnetic and orbit helicity, particularly for fusion-produced alpha particles. Addressing the urgent need for CO2-free energy, it also highlights advancements in reactor design and the technical hurdles still facing commercially viable fusion power. Aimed at both students and researchers, this volume offers deep scientific insights, supported by contributions from leading global experts in the field.