Spectral Scattering Theory (166 results)
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Paperback. Condition: new. Paperback. These are the written notes of Fermi's Lectures supported by the Accademia Nazionale dei Lincei and given at the Scuola Normale Superiore of Pisa during March-April 1973. We propose to discuss here certain spectral properties of Schroedinger operators H=-D+V(x) (D the Laplacian and V a poten…tial) which have application to scattering theory. We consider an operator H with potential V of class SR. We show that the positive point spectrum of H is a discrete set in R+. Eigenfunctions which correspond to positive eigenvalues are shown to decay rapidly. This property is shown to hold also for generalized eigenfunctions. We then establish the limiting absorbing principle, which is a basic tool in our study. These are the written notes of Fermi's Lectures supported by the Accademia Nazionale dei Lincei and given at the Scuola Normale Superiore of Pisa during March-April 1973. Eigenfunctions which correspond to positive eigenvalues are shown to decay rapidly. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Hardcover. First ition edition. Very Good/No Jacket (38751) Hardcover, 1991. First edition. No dust jacket, as issued. Owner name on endpaper. Unmarked otherwise. Light wear to boards, some sun-fading. V 87 in the Applied Mathematical Sciences Series. . 189.
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Paperback. Condition: Brand New. 68 pages. 9.06x6.38x0.24 inches. In Stock.
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Hardcover. 188pp. Near new condition, covers bright, text clean and binding tight without a dust jacket as published.
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Hardcover. Condition: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority.
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Condition: Very Good. Former library copy. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good.
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Condition: Fine. First edition, first printing; 188 pp., Hardcover, fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.
Language: English
Published by Springer, 2020
Series: Book 37 of 40 - SpringerBriefs in Mathematical Physics
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Language: English
Published by Springer Verlag, Singapore, SG, 2020
Series: Book 37 of 40 - SpringerBriefs in Mathematical Physics
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Paperback. Condition: New. 1st ed. 2020. The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science. These practical problems boil down to the mathematical question in which one tries to recover the operator (coefficients) or the d…omain (manifolds) from spectral data. The characteristic properties of the operators in question are often reduced to those of Schrödinger operators. We start from the 1-dimensional theory to observe the main features of inverse spectral problems and then proceed to multi-dimensions. The first milestone is the Borg-Levinson theorem in the inverse Dirichlet problem in a bounded domain elucidating basic motivation of the inverse problem as well as the difference between 1-dimension and multi-dimension. The main theme is the inverse scattering, in which the spectral data is Heisenberg's S-matrix defined through the observation of the asymptotic behavior at infinity of solutions. Significant progress has been made in the past 30 years by using the Faddeev-Green function or the complex geometrical optics solution by Sylvester and Uhlmann, which made it possible to reconstruct the potential from the S-matrix of one fixed energy. One can also prove the equivalence of the knowledge of S-matrix and that of the Dirichlet-to-Neumann map for boundary value problems in bounded domains. We apply this idea also to the Dirac equation, the Maxwell equation, and discrete Schrödinger operators on perturbed lattices. Our final topic is the boundary control method introduced by Belishev and Kurylev, which is for the moment the only systematic method for the reconstruction of the Riemannian metric from the boundary observation, which we apply to the inverse scattering on non-compact manifolds. We stress that this book focuses on the lucid exposition of these problems and mathematical backgrounds by explaining the basic knowledge of functional analysis and spectral theory, omitting the technical details in order to make the book accessible to graduate students as an introduction to partial differential equations (PDEs) and functional analysis.
Language: English
Published by Springer-Verlag, New York Berlin Heidelberg, 1991
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- First Edition
Seller: Andreas Schüller, Chemnitz, GermanyAndreas Schüller
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Pappe. Condition: Befriedigend. 1. Auflage. Gut erhaltenes ausgesondertes Bibliotheksbuch mit Signatur, Barcode, Stempeln etc. Zum Studium noch bestens geeignet. Exlibrary book with signature, barcode, stamps, etc. still ideally suited to study.408 In englischer Sprache. 188 pages. 16x24cm.
Language: English
Published by Springer, 2020
Series: Book 37 of 40 - SpringerBriefs in Mathematical Physics
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Condition: As New. Unread book in perfect condition.
- Hardcover
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hardcover. Condition: Good. Address label and number inside front cover, otherwise very good condition, text is unmarked.
Inverse Spectral and Scattering Theory: An Introduction (SpringerBriefs in Mathematical Physics, 38)
Language: English
Published by Springer, 2020
Series: Book 37 of 40 - SpringerBriefs in Mathematical Physics
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Published by Springer 2020-09, 2020
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Published by Springer, 2020
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Paperback. Condition: New.
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Language: English
Published by Springer Nature Switzerland AG, CH, 2020
Series: Book 246 of 261 - Universitext
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Paperback. Condition: New. 1st ed. 2020. This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Sturm-Liouville equations.Sturm-Liouville theory has applications in partial differential equations and mathematical physics. Examples include classical PDEs such as the he…at and wave equations. Written by leading experts, this book provides a modern, systematic treatment of the theory. The main topics are the spectral theory and eigenfunction expansions for Sturm-Liouville equations, as well as scattering theory and inverse spectral theory. It is the first book offering a complete account of the left-definite theory for Sturm-Liouville equations.The modest prerequisites for this book are basic one-variable real analysis, linear algebra, as well as an introductory course in complex analysis. More advanced background required in some parts of the book is completely covered in the appendices. With exercises in each chapter, the book is suitable for advancedundergraduate and graduate courses, either as an introduction to spectral theory in Hilbert space, or to the spectral theory of ordinary differential equations. Advanced topics such as the left-definite theory and the Camassa-Holm equation, as well as bibliographical notes, make the book a valuable reference for experts.
Language: English
Published by Pisa, Accademia Nazionale dei Lincei di Pisa, 1975
- Softcover
- First Edition
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Add to basketOriginalbroschur. 23 cm. Condition: Wie neu. 152-218 Seiten. FRISCHES, SEHR schönes Exemplar der ERSTAUSGABE. Very FRESH copy. (We offer a lot of books on PHYSICS and MATHEMATICS on stock in EXCELLENT shape). Sprache: Englisch Gewicht in Gramm: 200.
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Paperback. Condition: new. Paperback. These are the written notes of Fermi's Lectures supported by the Accademia Nazionale dei Lincei and given at the Scuola Normale Superiore of Pisa during March-April 1973. We propose to discuss here certain spectral properties of Schroedinger operators H=-D+V(x) (D the Laplacian and V a poten…tial) which have application to scattering theory. We consider an operator H with potential V of class SR. We show that the positive point spectrum of H is a discrete set in R+. Eigenfunctions which correspond to positive eigenvalues are shown to decay rapidly. This property is shown to hold also for generalized eigenfunctions. We then establish the limiting absorbing principle, which is a basic tool in our study. These are the written notes of Fermi's Lectures supported by the Accademia Nazionale dei Lincei and given at the Scuola Normale Superiore of Pisa during March-April 1973. Eigenfunctions which correspond to positive eigenvalues are shown to decay rapidly. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
Language: English
Published by Springer, 2020
Series: Book 37 of 40 - SpringerBriefs in Mathematical Physics
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Inverse Spectral and Scattering Theory: An Introduction: 38 (SpringerBriefs in Mathematical Physics)
Language: English
Published by Springer, 2020
Series: Book 37 of 40 - SpringerBriefs in Mathematical Physics
- Softcover
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Condition: New. 1st ed. 2020 edition NO-PA16APR2015-KAP.
Published by Springer-Verlag. 1991., 1991
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Add to basketCondition: Gebraucht / Used. Hardcover. Good. 188pp.
Inverse Spectral and Scattering Theory: An Introduction: 38 (SpringerBriefs in Mathematical Physics)
Language: English
Published by Springer, 2020
Series: Book 37 of 40 - SpringerBriefs in Mathematical Physics
- Softcover
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Kartoniert / Broschiert. Condition: New. These are the written notes of Fermi s Lectures supported by the Accademia Nazionale dei Lincei and given at the Scuola Normale Superiore of Pisa during March-April 1973. We propose to discuss here certain spectral properties of Schroedinger operators H=-D+V.
- Softcover
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Condition: New. pp. 375 2020th edition NO-PA16APR2015-KAP.
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Condition: New. pp. 375.
