Direct and Inverse Problems: Potentials in Quantum Scattering by Boris N. Zakhar

Description: Direct and Inverse Problems by Boris N. Zakhariev, Allina A. Suzko, Gil B. Pontecorvo A manual for solving quantum inverse problems, that is, for deriving the potential from spectra or scattering data and also, a quantum "picture book" which should enhance the readers quantum intuition. The formal exposition of inverse methods is paralleled by a discussion of the direct problem. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description This textbook can be viewed as a "how-to" manual for solving quantum inverse problems, for deriving the potential from spectra or scattering data, and as a quantum "picture book" which aims to enhance the readers quantum intuition. The formal exposition of inverse methods is paralleled by a discussion of the direct problem. Differential and finite-difference equations are presented side by side. The common features and advantages of a variety of solution methods are analyzed. To foster a better understanding, the physical meaning of the mathematical quantities are discussed. Wave confinement in continuum bound states, resonance and collective tunnelling, energy shifts and the spectral and phase equivalence of various interactions are some of the physical problems covered. Notes This textbook can almost be viewed as a "how-to" manual for solving quantum inverse problems, that is, for deriving the potential from spectra or scattering data and also, as somewhat of a quantum "picture book" which should enhance the readers quantum intuition. The formal exposition of inverse methods is paralleled by a discussion of the direct problem. Differential and finite-difference equations are presented side by side. A variety of solution methods is presented. To foster a better understanding, the physical meaning of the mathematical quantities are discussed in detail. Table of Contents I: One-dimensional, One-channel Systems.- 1 The principal Equations of Scattering Theory.- 2 Exactly Solvable Models: Bargmann Potentials VB.- 3 Approximate Solutions.- 4 The Levinson Theorem.- II. Multi-channel, Multi-dimensional, Multi-particle Problems.- 5 Multi-channel Equations.- 6 Multi-dimensional Problems.- 7 Multi-particle Systems.- References. Promotional Springer Book Archives Long Description Rapid progress in quantum theory brings us new important results which are often not immediately clear to all who need them. But fortunately, this is also followed by simplifications and unifications of our previous concepts. The inverse problem method ("The most beautiful idea of the XX-th century" - Zakharov et aI., 1980) has just both these aspects. It is rather astonishing that it took 50 years after the foundation of quantum mechanics for the creation of the "pictures" showing the direct connection of obser Description for Sales People This textbook can almost be viewed as a "how-to" manual for solving quantum inverse problems, that is, for deriving the potential from spectra or scattering data and also, as somewhat of a quantum "picture book" which should enhance the readers quantum intuition. The formal exposition of inverse methods is paralleled by a discussion of the direct problem. Differential and finite-difference equations are presented side by side. A variety of solution methods is presented. To foster a better understanding, the physical meaning of the mathematical quantities are discussed in detail. Details ISBN3540524843 Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Year 1990 ISBN-10 3540524843 ISBN-13 9783540524847 Format Paperback Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K Subtitle Potentials in Quantum Scattering Place of Publication Berlin Country of Publication Germany Translated from Russian DEWEY 539.758 Author Gil B. Pontecorvo Language English Media Book Publication Date 1990-11-05 Short Title DIRECT & INVERSE PROBLEMS SOFT Pages 223 Illustrations XIII, 223 p. DOI 10.1007/978-3-642-95615-7 Translator Gil B. Pontecorvo Edition Description Softcover reprint of the original 1st ed. 1990 Alternative 9783540187424 Audience Undergraduate We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96319453;

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