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2003, ISBN: 9780821833360

ID: 9780821833360

Asymptotic Methods for Wave and Quantum Problems: Hardback: American Mathematical Society: 9780821833360: 15 Feb 2003: Contains four papers in different areas of mathematical physics united by the intrinsic coherence of the asymptotic methods used. This collection discusses applications of asymptotic methods to the theory of semiclassical approximation (in particular, the Whitham method) for nonlinear second-order ordinary differential equations. This collection consists of four papers in different areas of mathematical physics united by the intrinsic coherence of the asymptotic methods used. The papers describe both the known results and most recent achievements, as well as new concepts and ideas in mathematical analysis of quantum and wave problems. In the introductory paper 'Quantization and Intrinsic Dynamics', a relationship between quantization of symplectic manifolds and nonlinear wave equations is described and discussed from the viewpoint of the weak asymptotics method (asymptotics in distributions) and the semiclassical approximation method. It also explains a hidden dynamic geometry that arises when using these methods. Three other papers discuss applications of asymptotic methods to the construction of wave-type solutions of nonlinear PDE's, to the theory of semiclassical approximation (in particular, the Whitham method) for nonlinear second-order ordinary differential equations, and to the study of the Schrodinger type equations whose potential wells are sufficiently shallow that the discrete spectrum contains precisely one point. All the papers contain detailed references and are oriented not only to specialists in asymptotic methods but also to a wider audience of researchers and graduate students working in partial differential equations and mathematical physics. Differential Calculus & Equations, , , , Asymptotic Methods for Wave and Quantum Problems, M.V. Karasev, 9780821833360, American Mathematical Society, , , , ,, [PU: American Mathematical Society]

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2003, ISBN: 9780821833360

ID: 326886354

American Mathematical Society, 2003-02-01. Hardcover. New. Brand new. We distribute directly for the publisher. The collection consists of four papers in different areas of mathematical physics united by the intrinsic coherence of the asymptotic methods used. The papers describe both the known results and most recent achievements, as well as new concepts and ideas in mathematical analysis of quantum and wave problems.In the introductory paper "Quantization and Intrinsic Dynamics" a relationship between quantization of symplectic manifolds and nonlinear wave equations is described and discussed from the viewpoint of the weak asymptotics method (asymptotics in distributions) and the semiclassical approximation method. It also explains a hidden dynamic geometry that arises when using these methods.Three other papers discuss applications of asymptotic methods to the construction of wave-type solutions of nonlinear PDE's, to the theory of semiclassical approximation (in particular, the Whitham method) for nonlinear second-order ordinary differential equations, and to the study of the SchrÃ¶dinger type equations whose potential wells are sufficiently shallow that the discrete spectrum contains precisely one point.All the papers contain detailed references and are oriented not only to specialists in asymptotic methods but also to a wider audience of researchers and graduate students working in partial differential equations and mathematical physics., American Mathematical Society, 2003-02-01

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2003, ISBN: 0821833367

ID: 17354561426

[EAN: 9780821833360], Neubuch, [PU: American Mathematical Society, United States], Mathematics|Reference, Science|Mathematical Physics, Language: English . Brand New Book. This collection consists of four papers in different areas of mathematical physics united by the intrinsic coherence of the asymptotic methods used. The papers describe both the known results and most recent achievements, as well as new concepts and ideas in mathematical analysis of quantum and wave problems. In the introductory paper Quantization and Intrinsic Dynamics , a relationship between quantization of symplectic manifolds and nonlinear wave equations is described and discussed from the viewpoint of the weak asymptotics method (asymptotics in distributions) and the semiclassical approximation method. It also explains a hidden dynamic geometry that arises when using these methods.Three other papers discuss applications of asymptotic methods to the construction of wave-type solutions of nonlinear PDE s, to the theory of semiclassical approximation (in particular, the Whitham method) for nonlinear second-order ordinary differential equations, and to the study of the Schrodinger type equations whose potential wells are sufficiently shallow that the discrete spectrum contains precisely one point.All the papers contain detailed references and are oriented not only to specialists in asymptotic methods but also to a wider audience of researchers and graduate students working in partial differential equations and mathematical physics.

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ISBN: 9780821833360

ID: 990640987

Amer Mathematical Society. Hardcover. Good. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. May not contain Access Codes or Supplements. Buy with confidence, excellent customer service!, Amer Mathematical Society

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2003, ISBN: 0821833367

ID: 17350685070

[EAN: 9780821833360], Neubuch, [PU: Amer Mathematical Society], Mathematics|Reference, Science|Mathematical Physics, illustrated edition edition. 284 pages. 10.25x7.25x0.50 inches. In Stock.

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Title: | ## Asymptotic Methods for Wave and Quantum Problems: 208 (American Mathematical Society Translations--Series 2 (Advances in the Mathematical Sciences)) |

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** Details of the book - Asymptotic Methods for Wave and Quantum Problems: 208 (American Mathematical Society Translations--Series 2 (Advances in the Mathematical Sciences))**

EAN (ISBN-13): 9780821833360

ISBN (ISBN-10): 0821833367

Hardcover

Publishing year: 2003

Publisher: American Mathematical Society

Book in our database since 05.02.2008 10:32:27

Book found last time on 21.07.2017 08:24:16

ISBN/EAN: 0821833367

ISBN - alternate spelling:

0-8218-3336-7, 978-0-8218-3336-0

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