Dynamical Collision Theory And Its Applications
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Dynamical Collision Theory And Its Applications
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Author : Sadhan Adhikari
language : en
Publisher: Academic Press
Release Date : 2012-12-02
Dynamical Collision Theory And Its Applications written by Sadhan Adhikari and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Technology & Engineering categories.
Dynamical Collision Theory and Its Applications reviews some of the powerful methods that have evolved for calculating the predictions of dynamical collision theory. Topics range from scattering theory to potential scattering, three- and four-particle scattering, multiparticle scattering, many-particle Lippmann-Schwinger equations, and the connected-kernel approach. This book is comprised of nine chapters; the first of which introduces the reader to the quantum theory of scattering. This topic is followed by a discussion on two-particle potential scattering and various methods for calculating off-shell two-body amplitudes as well as approximating them by finite-rank forms. The next chapters focus on the interpretation and applicability of the multichannel, multiparticle Lippmann-Schwinger equations, along with the known N-particle connected-kernel integral equations and their physical predictions. Descriptions of contemporary field-theoretical and relativistic approaches, such as the Dirac phenomenology for intermediate energy nucleon-nucleus scattering, are included. The singularity structure of multiparticle amplitudes and the associated dispersion-relation techniques are also considered. This book concludes by describing the relationship between the conventional (optical potentials, multiple-scattering theories, and the coupled-reaction channel and resonating-group methods) and the few-body approaches. This text is primarily intended for chemists, physicists, and graduate students interested in general scattering theory; intermediate and low-energy hadron and nuclear physics; atomic and molecular physics; statistical mechanics; and physical and quantum chemistry. There are a number of topics in this book that will be interesting to both mathematicians and particle physicists, as well as advanced graduate students in courses that involve collision theory.
Dynamics Of Molecular Collisions
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Author : W. Miller
language : en
Publisher: Springer
Release Date : 1976-12
Dynamics Of Molecular Collisions written by W. Miller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-12 with Science categories.
Activity in any theoretical area is usually stimulated by new experimental techniques and the resulting opportunity of measuring phenomena that were previously inaccessible. Such has been the case in the area under consideration he re beginning about fifteen years aga when the possibility of studying chemical reactions in crossed molecular beams captured the imagination of physical chemists, for one could imagine investigating chemical kinetics at the same level of molecular detail that had previously been possible only in spectroscopic investigations of molecular stucture. This created an interest among chemists in scattering theory, the molecular level description of a bimolecular collision process. Many other new and also powerful experimental techniques have evolved to supplement the molecular be am method, and the resulting wealth of new information about chemical dynamics has generated the present intense activity in molecular collision theory. During the early years when chemists were first becoming acquainted with scattering theory, it was mainly a matter of reading the physics literature because scattering experiments have long been the staple of that field. It was natural to apply the approximations and models that had been developed for nuclear and elementary particle physics, and although some of them were useful in describing molecular collision phenomena, many were not.
Quantum Theory Of Chemical Reactions
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Author : R. Daudel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quantum Theory Of Chemical Reactions written by R. Daudel 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 treatise is devoted to an analysis of the present state of the quantum theory of chemical reactions. It will be divided into three volumes and will contain the contributions to an international seminar organized by the editors. The first one, is concerned with the fundamental problems which occur when studying a gas phase reaction or a reaction for which the solvent effect is not taken into account. The two first papers show how the collision theory can be used to predict the behaviour of interacting small molecules. For large molecules the complete calculations are not possible. We can only estimate the reaction path by calculating important areas of the potential surfaces. Four papers are concerned with this important pro cess. Furthermore, in one of these, the electronic reorganization which occurs along the reaction path is carefully analyzed. ~~o papers are devoted to the discussion of general rules as aromaticity rules, symmetry rules. The last two papers are concerned with the electrostatic molecular poten tial method which is the modern way of using static indices to establish relations between structure and chemical reactivity. Volume II will be devoted to a detailed analysis of the role of the solvent and volume III will present important applications as reaction mechanisms, photochemistry, catalysis, biochemical reactions and drug design. SOME RECENT DEVELOPMENTS IN THE MOLECULAR TREATMENT OF ATOM-ATOM COLLISIONS.
Theory And Application Of Quantum Molecular Dynamics
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Author : John Z. H. Zhang
language : en
Publisher: World Scientific
Release Date : 1999
Theory And Application Of Quantum Molecular Dynamics written by John Z. H. Zhang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Science categories.
This book gives an updated and detailed presentation of modern quantum-mechanical treatments and practical computational methods for dynamical processes of small molecular systems. The main emphasis is on the recent development of successful theories and computational methods for the reactive scattering process. Specific applications are given in detail for a number of benchmark chemical reaction systems in the gas phase and gas surface. Differing from traditional physics books focusing on abstract collision theory for elastic collisions, the book has been written in a fashion in which the development of general reactive or rearrangement scattering theory is accompanied by practical applications for realistic reaction systems.
Quantum Mechanics In Chemistry
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Author : George C. Schatz
language : en
Publisher: Courier Corporation
Release Date : 2012-04-30
Quantum Mechanics In Chemistry written by George C. Schatz and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-30 with Science categories.
Advanced graduate-level text looks at symmetry, rotations, and angular momentum addition; occupation number representations; and scattering theory. Uses concepts to develop basic theories of chemical reaction rates. Problems and answers.
Semiclassical Dynamics And Relaxation
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Author : D.S.F. Crothers
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-20
Semiclassical Dynamics And Relaxation written by D.S.F. Crothers 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 2007-12-20 with Science categories.
Condensed-matter physics plays an ever increasing role in photonics, electronic and atomic collisions research. Dispersion (Dynamics and Relaxation) includes scattering/collisions in the gaseous phase. It also includes thermal agitation, tunneling and relaxation in the liquid and solid phases. Classical mechanics, classical statistical mechanics, classical relativity and quantum mechanics are all implicated. 'Semiclassical' essentially means that there is a large or asymptotic real parameter. 'Semiclassical' can also mean 'classical with first-order quantal correction', based on an exponentiated Liouville series commencing with a simple pole in the -plane, being Planck's reduced constant and coming with all the attendant connection problems associated with the singularity at the turning or transition point and with the Stokes phenomenon. Equally,' semiclassical' can mean 'electrons described quantally and the heavy particles classically'. This latter gives rise to the so-called impact parameter method based on a pre-assigned classical trajectory. With evermore sophisticated experiments, it has become equally more important to test theory over a wider range of parameters. For instance, at low impact energies in heavy-particle collisions, the inverse velocity is a large parameter; in single-domain ferromagnetism, thermal agitation (including Brownian motion and continuous-time random walks) is faced with a barrier of height 'sigma', a possibly large parameter. Methods of solution include phase-integral analysis, integral transforms and change-of-dependent variable. We shall consider the Schrödinger time-independent and time-dependent equations, the Dirac equation, the Fokker Planck equation, the Langevin equation and the equations of Einstein's classical general relativity equations. There is an increasing tendency among physicists to decry applied mathematics and theoretical physics in favour of computational blackboxes. One may say applied mathematics concerns hard sums and products (and their inverses) but unless one can simplify and sum infinite series of products of infinite series, can one believe the results of a computer program? The era of the polymath has passed; this book proposal aims to show the relevance to, and impact of theory on, laboratory scientists.
Collisions Engineering Theory And Applications
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Author : Michel Frémond
language : en
Publisher: Springer
Release Date : 2016-07-28
Collisions Engineering Theory And Applications written by Michel Frémond and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-28 with Technology & Engineering categories.
This book investigates collisions occurring in the motion of solids, in the motion of fluids but also in the motion of pedestrians in crowds. The duration of these presented collisions is short compared to the whole duration of the motion: they are assumed instantaneous. The innovative concept demonstrated in this book is that a system made of two solids, is deformable because their relative position changes. The definition of the velocities of deformation of the system introduced in the classical developments of mechanics, the principle of the virtual work and the laws of thermodynamics, allows a large range of applications such as crowd motions, debris flow motions, and shape memory alloys motions. The set of the applications is even larger: social sciences and mechanics are unified to predict the motion of crowds with application to transport management and to evacuation of theaters management.
Mechanical Impact Dynamics
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Author : Raymond M. Brach
language : en
Publisher: Wiley-Interscience
Release Date : 1991-01-01
Mechanical Impact Dynamics written by Raymond M. Brach and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-01 with Science categories.
This text aims to advance the subject of classical, rigid body collision theory for application to a broader range of problems. Topics include erosion and wear where small particle impacts remove material from softer surfaces, vibratory impact, the impact analysis of automobiles, articulated vehicle theory, and an analysis of NASA data from experimental aircraft collisions with the ground.
Collision Theory
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Author : Marvin L. Goldberger
language : en
Publisher: Courier Corporation
Release Date : 2004-01-01
Collision Theory written by Marvin L. Goldberger and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Science categories.
A systematic description of the basic principles of collision theory, this graduate-level text presents a detailed examination of scattering processes and formal scattering theory, the two-body problem with central forces, scattering by noncentral forces, lifetime and decay of virtual states, an introduction to dispersion theory, and more. 1964 edition.
Photodissociation Dynamics
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Author : Reinhard Schinke
language : en
Publisher: Cambridge University Press
Release Date : 1995-05-11
Photodissociation Dynamics written by Reinhard Schinke and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-05-11 with Science categories.
Photodissociation induced by the absorption of single photons permits the detailed study of molecular dynamics such as the breaking of bonds, internal energy transfer and radiationless transitions. The availability of powerful lasers operating over a wide frequency range has stimulated rapid development of new experimental techniques which make it possible to analyse photodissociation processes in unprecedented detail. This text elucidates the achievements in calculating photodissociation cross-sections and fragment state distributions from first principles, starting from multi-dimensional potential energy surfaces and the Schrödinger equation of nuclear motion. Following an extended introduction in which the various types of observables are outlined, the book summarises the basic theoretical tools, namely the time-independent and the time-dependent quantum mechanical approaches as well as the classical picture of photodissociation. The discussions of absorption spectra, diffuse vibrational structures, the vibrational and rotational state distributions of the photofragments form the core of the book. More specific topics such as the dissociation of vibrationally excited molecules, emission during dissociation, or nonadiabatic effects are also discussed. It will be of interest to graduate students and senior scientists working in molecular physics, spectroscopy, molecular collisions and molecular kinetics.