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.
Quasiclassical Methods For Spin Charge Coupled Dynamics In Low Dimensional Systems
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Author : Cosimo Gorini
language : en
Publisher:
Release Date : 2009
Quasiclassical Methods For Spin Charge Coupled Dynamics In Low Dimensional Systems written by Cosimo Gorini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Quasiclassical Semiclassical And Quantum Methods For Calculating Molecular States
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Author : Subhash Saini
language : en
Publisher:
Release Date : 1986
Quasiclassical Semiclassical And Quantum Methods For Calculating Molecular States written by Subhash Saini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Brillouin scattering categories.
Method Of Quasiclassical Green Function In Different Problems Of Mesoscopic Physics
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Author : V. R. Kogan
language : en
Publisher:
Release Date : 2003
Method Of Quasiclassical Green Function In Different Problems Of Mesoscopic Physics written by V. R. Kogan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Quasiclassical And Semiclassical Methods In Molecular Scattering Dynamics
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Author : Anatol Blass
language : en
Publisher:
Release Date : 2001
Quasiclassical And Semiclassical Methods In Molecular Scattering Dynamics written by Anatol Blass and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Scattering (Physics) categories.
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.
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.
A Quasiclassical Approach To Inhomogeneous Quantum Cosmology
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Author : Fredric Hancock
language : en
Publisher:
Release Date : 2022
A Quasiclassical Approach To Inhomogeneous Quantum Cosmology written by Fredric Hancock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
Since the introduction of general relativity and quantum mechanics, a successful combination of the two has been a central problem in theoretical physics. Many approaches have been attempted, but none has succeeded in creating a complete unified framework. Here, we explore an approach that attempts to "bridge the gap" between deeper quantum gravity ingredients and the effective field theories that have been successful in explaining our actual observations. In this "quasiclassical" formulation, we derive quantum corrections from a canonical quantization, which we expand to finite order in moments of the position and momentum operators. This yields a set of additional quantum fluctuation fields coupled to the classical system. With these auxiliary fields and a modified Hamiltonian, we can then solve the system in the same manner as the classical one. We apply these methods to a spherically-symmetric inhomogeneous cosmological spacetime--the first attempt to use them for a time-dependent system. We first derive solutions with a single additional canonical pair, but the time evolution of this system fails to preserve its constraints, which is a critical failure. We then derive a system with two additional pairs, which we show is consistent for at least a significant region of spacetime. Thus, with fine-tuned and physically motivated initial conditions, this second model could produce true cosmological predictions. This is a promising step toward our goal of using these quasiclassical methods to perform quantum gravity phenomenology in the field of cosmology.
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.
Modern Methods For Multidimensional Dynamics Computations In Chemistry
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Author : Donald L Thompson
language : en
Publisher: World Scientific
Release Date : 1998-04-15
Modern Methods For Multidimensional Dynamics Computations In Chemistry written by Donald L 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 1998-04-15 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.