Quasiclassical Methods
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Quasiclassical Methods
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Author : Jeffrey Rauch
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quasiclassical Methods written by Jeffrey Rauch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This IMA Volume in Mathematics and its Applications QUASICLASSICAL METHODS is based on the proceedings of a very successful one-week workshop with the same title, which was an integral part of the 1994-1995 IMA program on "Waves and Scattering." We would like to thank Jeffrey Rauch and Barry Simon for their excellent work as organizers of the meeting. We also take this opportunity to thank the National Science Foun dation (NSF), the Army Research Office (ARO) and the Office of Naval Research (ONR), whose financial support made the workshop possible. A vner Friedman Robert Gulliver v PREFACE There are a large number of problems where qualitative features of a partial differential equation in an appropriate regime are determined by the behavior of an associated ordinary differential equation. The example which gives the area its name is the limit of quantum mechanical Hamil tonians (Schrodinger operators) as Planck's constant h goes to zero, which is determined by the corresponding classical mechanical system. A sec ond example is linear wave equations with highly oscillatory initial data. The solutions are described by geometric optics whose centerpiece are rays which are solutions of ordinary differential equations analogous to the clas sical mechanics equations in the example above. Much recent work has concerned with understanding terms beyond the leading term determined by the quasi classical limit. Two examples of this involve Weyl asymptotics and the large-Z limit of atomic Hamiltonians, both areas of current research.
Theory And Applications Of Moment Methods In Many Fermion Systems
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Author : B. J. Dalton
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theory And Applications Of Moment Methods In Many Fermion Systems written by B. J. Dalton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The first international conference on "Theory and Applications of Moment Methods in Many-Fermion Systems" was held September 10 - 13, 1979 at Iowa State University. Manuscripts of the invited talks presented at this conference are the contents of this volume. These manuscripts were prepared and delivered to the editors by the authors; the responsibility for any errors in scientific con tent is theirs. While we, the editors, have made every effort to keep this volume as free from typographical errors as possible, we accept responsibility for such errors as do occur, even those which may be mistaken for scientific error. All but one of the invited talks given at the conference are reported here; those authors apparently felt unable to provide the editors with manuscripts. The editors. who also served as the organizing committee, would like to express appreciation to the sponsors of this con ference: Physics Department, Ames Laboratory, Energy and Mineral Resources Research Institute, and the Graduate College, all of Iowa State University, the National Science Foundation, and the U. S. Department of Energy. Their generosity both in terms of funding and support made the conference possible. We should also like to express our gratitude to the Interna tional Advisory Committee whose prestige lent support to the con ference and whose advice in topic selection was invaluable. Those members were: Grenoble, France R. Arvieu C. Bender Lawrence Livermore Laboratory J. B. French University of Rochester Fowler California Institute of Technology W.
Theory Of Nonequilibrium Superconductivity
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Author : N. B. Kopnin
language : en
Publisher: Oxford University Press
Release Date : 2001-05-03
Theory Of Nonequilibrium Superconductivity written by N. B. Kopnin and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-03 with Science categories.
This text deals with the behaviour of superconductors in external fields varying in time, and with transport phenomena in superconductors.
Qualitative Methods In Quantum Theory
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Author : Migdal
language : en
Publisher: CRC Press
Release Date : 2018-03-05
Qualitative Methods In Quantum Theory written by Migdal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-05 with Science categories.
This unique book, written by a leading Soviet theorist, is not a textbook of quantum mechanics but rather a compendium of the "tricks of the trade"-the methods that all practicing theoretical physicists use but few have set down in writing.
Modern Methods For Multidimensional Dynamics Computations In Chemistry
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Author : Donald Leo Thompson
language : en
Publisher: World Scientific
Release Date : 1998
Modern Methods For Multidimensional Dynamics Computations In Chemistry written by Donald Leo Thompson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Science categories.
This volume describes many of the key practical theoretical techniques that have been developed to treat chemical dynamics problems in many-atom systems. It contains thorough treatments of fundamental theory and prescriptions for performing computations. The selection of methods, ranging from gas phase bimolecular reactions to complex processes in condensed phases, reflects the breadth of the field.The book is an excellent reference for proven and accepted methods as well as for theoretical approaches that are still being developed. It is appropriate for graduate students and other ?novices? who wish to begin working in chemical dynamics as well as active researchers who wish to acquire a wider knowledge of the field.
Atomic And Free Electrons In A Strong Light Field
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Author : Mikhail V Fedorov
language : en
Publisher: World Scientific
Release Date : 1998-01-15
Atomic And Free Electrons In A Strong Light Field written by Mikhail V Fedorov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-15 with Science categories.
This book presents and describes a series of unusual and striking strong-field phenomena concerning atoms and free electrons. Some of these phenomena are: multiphoton stimulated bremsstrahlung, free-electron lasers, wave-packet physics, above-threshold ionization, and strong-field stabilization in Rydberg atoms. The theoretical foundations and causes of the phenomena are described in detail, with all the approximations and derivations discussed. All the known and relevant experiments are described too, and their results are compared with those of the existing theoretical models.An extensive general theoretical introduction gives a good basis for subsequent parts of the book and is an independent and self-sufficient description of the most efficient theoretical methods of the strong-field and multiphoton physics. This book can serve as a textbook for graduate students.
Quantum Systems In Chemistry And Physics Trends In Methods And Applications
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Author : R. McWeeny
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quantum Systems In Chemistry And Physics Trends In Methods And Applications written by R. McWeeny and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Quantum Systems in Chemistry and Physics contains a refereed selection of the papers presented at the first European Workshop on this subject, held at San Miniato, near Pisa, Italy, in April 1996. The Workshop brought together leading experts in theoretical chemistry and molecular physics with an interest in the quantum mechanical many-body problem. This volume provides an insight into the latest research in this increasingly important field. Throughout the Workshop, the emphasis was on innovative theory and conceptual developments rather than on computational implementation. The various contributions presented reflect this emphasis and embrace topics such as density matrices and density functional theory, relativistic formulations, electron correlation, valence theory, nuclear motion, response theory, condensed matter, and chemical reactions. Audience: The volume will be of interest to those working in the molecular sciences and to theoretical chemists and molecular physicists in particular.
Atom Molecule Collision Theory
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Author : Richard Barry Bernstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Atom Molecule Collision Theory written by Richard Barry Bernstein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
The broad field of molecular collisions is one of considerable current interest, one in which there is a great deal of research activity, both experi mental and theoretical. This is probably because elastic, inelastic, and reactive intermolecular collisions are of central importance in many of the fundamental processes of chemistry and physics. One small area of this field, namely atom-molecule collisions, is now beginning to be "understood" from first principles. Although the more general subject of the collisions of polyatomic molecules is of great im portance and intrinsic interest, it is still too complex from the viewpoint of theoretical understanding. However, for atoms and simple molecules the essential theory is well developed, and computational methods are sufficiently advanced that calculations can now be favorably compared with experimental results. This "coming together" of the subject (and, incidentally, of physicists and chemists !), though still in an early stage, signals that the time is ripe for an appraisal and review of the theoretical basis of atom-molecule collisions. It is especially important for the experimentalist in the field to have a working knowledge of the theory and computational methods required to describe the experimentally observable behavior of the system. By now many of the alternative theoretical approaches and computational procedures have been tested and intercompared. More-or-Iess optimal methods for dealing with each aspect are emerging. In many cases working equations, even schematic algorithms, have been developed, with assumptions and caveats delineated.
Mathematical Approaches To Biomolecular Structure And Dynamics
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Author : Jill P. Mesirov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Approaches To Biomolecular Structure And Dynamics written by Jill P. Mesirov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This IMA Volume in Mathematics and its Applications MATHEMATICAL APPROACHES TO BIOMOLECULAR STRUCTURE AND DYNAMICS is one of the two volumes based on the proceedings of the 1994 IMA Sum mer Program on "Molecular Biology" and comprises Weeks 3 and 4 of the four-week program. Weeks 1 and 2 appeared as Volume 81: Genetic Mapping and DNA Sequencing. We thank Jill P. Mesirov, Klaus Schulten, and De Witt Sumners for organizing Weeks 3 and 4 of the workshop and for editing the proceedings. We also take this opportunity to thank the National Institutes of Health (NIH) (National Center for Human Genome Research), the National Science Foundation (NSF) (Biological Instrumen tation and Resources), and the Department of Energy (DOE), whose fi nancial support made the summer program possible. A vner Friedman Robert Gulliver v PREFACE The revolutionary progress in molecular biology within the last 30 years opens the way to full understanding of the molecular structures and mech anisms of living organisms. Interdisciplinary research in mathematics and molecular biology is driven by ever growing experimental, theoretical and computational power. The mathematical sciences accompany and support much of the progress achieved by experiment and computation as well as provide insight into geometric and topological properties of biomolecular structure and processes. This volume consists of a representative sample of the papers presented during the last two weeks of the month-long Institute for Mathematics and Its Applications Summer 1994 Program in Molecular Biology.
New Developments In Quantum Field Theory And Statistical Mechanics Carg Se 1976
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Author : M. Levy
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
New Developments In Quantum Field Theory And Statistical Mechanics Carg Se 1976 written by M. Levy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Social Science categories.
The 1976 Cargese Summer Institute was devoted to the study of certain exciting developments in quantum field theory and critical phenomena. Its genesis occurred in 1974 as an outgrowth of many scientific discussions amongst the undersigned, who decided to form a scientific committee for the organization of the school. On the one hand, various workers in quantum field theory were continuing to make startling progress in different directions. On the other hand, many new problems were arising from these various domains. Thus we feIt that 1976 might be an appropriate occasion both to review recent developments and to encourage interactions between researchers from different backgrounds working on a common set of unsolved problems. An important aspect of the school, as it took place, was the participation of and stimulating interaction between such a broad spectrum of theorists. The central topics of the school were chosen from the areas of solitons, phase transitions, critical behavior, the renormalization group, gauge fields and the analysis of nonrenormalizable field theories. A noteworthy feature of these topics is the interpene tration of ideas from quantum field theory and statistical mechanics whose inherent unity is seen in the functional integral formulation of quantum field theory. The actual lectures were partly in the form of tutorials designed to familiarize the participants with re cent progress on the main topics of the school. Others were in the form of more specialized seminars reporting on recent research.