Variable Phase Approach to Potential Scattering by F Calogero PDF Download
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Author:
Publisher: Elsevier
ISBN: 0080955428
Category : Mathematics
Languages : en
Pages : 257
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Book Description
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Author:
Publisher: Elsevier
ISBN: 0080955428
Category : Mathematics
Languages : en
Pages : 257
Get Book Here
Book Description
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Author: Gabriel G. Balint-Kurti
Publisher: Royal Society of Chemistry
ISBN: 1849738300
Category : Science
Languages : en
Pages : 294
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Book Description
Almost 100 years have passed since Trautz and Lewis put forward their collision theory of molecular processes. Today, knowledge of molecular collisions forms a key part of predicting and understanding chemical reactions. This book begins by setting out the classical and quantum theories of atom-atom collisions. Experimentally observable aspects of the scattering processes; their relationship to reaction rate constants and the experimental methods used to determine them are described. The quantum mechanical theory of reactive scattering is presented and related to experimental observables. The role of lasers in the measurement and analysis of reactive molecular collisions is also discussed. Written with postgraduates and newcomers to the field in mind, mathematics is kept to a minimum, and readers are guided to appendices and further reading to gain a deeper understanding of the mathematics involved.
Author: F. Calogero
Publisher: Elsevier
ISBN: 0080875343
Category : Mathematics
Languages : en
Pages : 533
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Book Description
Spectral Transform and Solitons
Author: I D Iliev
Publisher: CRC Press
ISBN: 9780582239630
Category : Mathematics
Languages : en
Pages : 412
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Book Description
Soliton theory as a method for solving some classes of nonlinear evolution equations (soliton equations) is one of the most actively developing topics in mathematical physics. This book presents some spectral theory methods for the investigation of soliton equations ad the inverse scattering problems related to these equations. The authors give the theory of expansions for the Sturm-Liouville operator and the Dirac operator. On this basis, the spectral theory of recursion operators generating Korteweg-de Vries type equations is presented and the Ablowitz-Kaup-Newell-Segur scheme, through which the inverse scattering method could be understood as a Fourier-type transformation, is considered. Following these ideas, the authors investigate some of the questions related to inverse spectral problems, i.e. uniqueness theorems, construction of explicit solutions and approximative methods for solving inverse scattering problems. A rigorous investigation of the stability of soliton solutions including solitary waves for equations which do not allow integration within inverse scattering method is also presented.
Author: L. Mirsky
Publisher: Academic Press
ISBN: 0080955843
Category : Computers
Languages : en
Pages : 271
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Book Description
Transversal Theory
Author: D.R. Herschbach
Publisher: Springer Science & Business Media
ISBN: 9401118361
Category : Science
Languages : en
Pages : 507
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Book Description
Dimensional scaling offers a new approach to quantum dynamical correlations. This is the first book dealing with dimensional scaling methods in the quantum theory of atoms and molecules. Appropriately, it is a multiauthor production, derived chiefly from papers presented at a workshop held in June 1991 at the Ørsted Institute in Copenhagen. Although focused on dimensional scaling, the volume includes contributions on other unorthodox methods for treating nonseparable dynamical problems and electronic correlation. In shaping the book, the editors serve three needs: an introductory tutorial for this still fledgling field; a guide to the literature; and an inventory of current research results and prospects. Part I treats basic aspects of dimensional scaling. Addressed to readers entirely unfamiliar with the subject, it provides both a qualitative overview, and a tour of elementary quantum mechanics. Part II surveys the research frontier. The eight chapters exemplify current techniques and outline results. Part III presents other methods, including nonseparable dynamics, and electron correlation in pseudomolecular excited states of atoms. Although procrustean conformity was not imposed, unifying and complementary themes are emphasized throughout the book.
Author: J. Warren
Publisher: Springer Science & Business Media
ISBN: 1461343259
Category : Science
Languages : en
Pages : 607
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Book Description
The Brentwood Summer Institute on Nuclear and Particle Physics at Intermediate Energies was the second of its kind organised by the TRIUMF group of Universities, the first taking place at Banff in 1970. With the advent of initial beams at the new meson facilities at LAMPF, SIN, NEVIS, CERN S.C. and TRIUMF it was an eminently suitable time for an in-depth study of some of the science which will be possible when these accelerators achieve their design intensities in proton and meson beams. The organizing committee, comprising: Univ. of Alberta G.A. Beer Univ. of Victoria J.M. Cameron J.M. McMillan U.B.C. D.F. Measday U.B.C. R.M. Pearce Univ. of Victoria J.E.D. Pearson U.B.C. J.B. Warren U.B.C. wishes to acknowledge the financial support provided by the North Atlantic Treaty Organisation, the National Research Council of Canada, and Atomic Energy of Canada Ltd., without which the Institute could not have been held. Also we wish to acknowledge the helpful advice of the Scientific Committee of NATO and of Dr. T. Kester, Secretary of this Committee. Many persons from the University of Victoria and the University of British Columbia helped with the local arrangements and we are grateful to them and particularly to the staff of Brentwood College who made the stay of the participants such a pleasant one.
Author: F. Kaschluhn
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112519485
Category : Science
Languages : en
Pages : 93
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Book Description
No detailed description available for "1977".
Author: J. Berakdar
Publisher: Springer Science & Business Media
ISBN: 1461513111
Category : Science
Languages : en
Pages : 500
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Book Description
Since the early days of modem physics spectroscopic techniques have been employed as a powerful tool to assess existing theoretical models and to uncover novel phenomena that promote the development of new concepts. Conventionally, the system to be probed is prepared in a well-defined state. Upon a controlled perturbation one measures then the spectrum of a single particle (electron, photon, etc.) emitted from the probe. The analysis of this single particle spectrum yields a wealth of important information on the properties of the system, such as optical and magnetic behaviour. Therefore, such analysis is nowadays a standard tool to investigate and characterize a variety of materials. However, it was clear at a very early stage that real physical compounds consist of many coupled particles that may be excited simultaneously in response to an external perturbation. Yet, the simultaneous (coincident) detection of two or more excited species proved to be a serious technical obstacle, in particular for extended electronic systems such as surfaces. In recent years, however, coincidence techniques have progressed so far as to image the multi-particle excitation spectrum in an impressive detail. Correspondingly, many-body theoretical concepts have been put forward to interpret the experimental findings and to direct future experimental research. This book gives a snapshot of the present status of multi-particle coincidence studies both from a theoretical and an experimental point of view. It also includes selected topical review articles that highlight the achievements and the power of coincident techniques.
Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1286
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Book Description
