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An Introduction to Phase-Integral Methods

2013-01-01 Mathematics
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Release : 2013-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 429/5 ( reviews)

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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. This book was released on 2013-01-01. 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.

An Introduction to Phase-integral Methods

2021-09-09
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Release : 2021-09-09
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Kind : eBook
Book Rating : 138/5 ( reviews)

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Book Synopsis An Introduction to Phase-integral Methods by : J Heading

Download or read book An Introduction to Phase-integral Methods written by J Heading. This book was released on 2021-09-09. Available in PDF, EPUB and Kindle. Book excerpt: 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

2013-04-09 Mathematics
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Release : 2013-04-09
Genre : Mathematics
Kind : eBook
Book Rating : 423/5 ( reviews)

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Book Synopsis Phase-Integral Method by : Nanny Fröman

Download or read book Phase-Integral Method written by Nanny Fröman. This book was released on 2013-04-09. 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.

Physical Problems Solved by the Phase-Integral Method

2002-06-13 Science
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Release : 2002-06-13
Genre : Science
Kind : eBook
Book Rating : 322/5 ( reviews)

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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. This book was released on 2002-06-13. 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

2011-10-12 Mathematics
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Release : 2011-10-12
Genre : Mathematics
Kind : eBook
Book Rating : 436/5 ( reviews)

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Book Synopsis Phase-Integral Method by : Nanny Fröman

Download or read book Phase-Integral Method written by Nanny Fröman. This book was released on 2011-10-12. 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.

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