Author: M. S. Child
Publisher: Courier Corporation
ISBN: 0486150240
Category : Science
Languages : en
Pages : 326
Book Description
This high-level monograph offers an excellent introduction to the theory required for interpretation of an increasingly sophisticated range of molecular scattering experiments. There are five helpful appendixes dealing with continuum wavefunctions, Green's functions, semi-classical connection formulae, curve-crossing in the momentum representation, and elements of classical mechanics. The contents of this volume have been chosen to emphasize the quantum mechanical and semi-classical nature of collision events, with little attention given to purely classical behavior. The treatment is essentially analytical. Some knowledge of the quantum mechanics of bound states is assumed.
Molecular Collision Theory
Author: M. S. Child
Publisher: Courier Corporation
ISBN: 0486150240
Category : Science
Languages : en
Pages : 326
Book Description
This high-level monograph offers an excellent introduction to the theory required for interpretation of an increasingly sophisticated range of molecular scattering experiments. There are five helpful appendixes dealing with continuum wavefunctions, Green's functions, semi-classical connection formulae, curve-crossing in the momentum representation, and elements of classical mechanics. The contents of this volume have been chosen to emphasize the quantum mechanical and semi-classical nature of collision events, with little attention given to purely classical behavior. The treatment is essentially analytical. Some knowledge of the quantum mechanics of bound states is assumed.
Publisher: Courier Corporation
ISBN: 0486150240
Category : Science
Languages : en
Pages : 326
Book Description
This high-level monograph offers an excellent introduction to the theory required for interpretation of an increasingly sophisticated range of molecular scattering experiments. There are five helpful appendixes dealing with continuum wavefunctions, Green's functions, semi-classical connection formulae, curve-crossing in the momentum representation, and elements of classical mechanics. The contents of this volume have been chosen to emphasize the quantum mechanical and semi-classical nature of collision events, with little attention given to purely classical behavior. The treatment is essentially analytical. Some knowledge of the quantum mechanics of bound states is assumed.
Collision Theory
Author: Adrian Todd Zuniga
Publisher: Rare Bird Books, a Barnacle Book
ISBN: 9781945572821
Category : Fiction
Languages : en
Pages : 0
Book Description
Thomas Mullen is struggling. Everything for him feels at risk, spiked with threat, since he witnessed a woman jump to her death fifteen months ago. Now there are the pleading calls from his parents to come home, please come home. But it is not until his best friend shows up unannounced that Thomas is awakened. He soon finds himself on an unpredictable journey in which he is forced to confront difficult truths: girlfriend's leave, mother's fall ill, and attempts to deny pain will ultimately fail.
Publisher: Rare Bird Books, a Barnacle Book
ISBN: 9781945572821
Category : Fiction
Languages : en
Pages : 0
Book Description
Thomas Mullen is struggling. Everything for him feels at risk, spiked with threat, since he witnessed a woman jump to her death fifteen months ago. Now there are the pleading calls from his parents to come home, please come home. But it is not until his best friend shows up unannounced that Thomas is awakened. He soon finds himself on an unpredictable journey in which he is forced to confront difficult truths: girlfriend's leave, mother's fall ill, and attempts to deny pain will ultimately fail.
Collision Theory
Author: Marvin L. Goldberger
Publisher: Courier Corporation
ISBN: 0486435075
Category : Science
Languages : en
Pages : 930
Book Description
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.
Publisher: Courier Corporation
ISBN: 0486435075
Category : Science
Languages : en
Pages : 930
Book Description
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.
Atom - Molecule Collision Theory
Author: Richard Barry Bernstein
Publisher: Springer Science & Business Media
ISBN: 1461329132
Category : Science
Languages : en
Pages : 785
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 1461329132
Category : Science
Languages : en
Pages : 785
Book Description
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.
Collision Theory and Statistical Theory of Chemical Reactions
Author: S. G. Christov
Publisher: Springer Science & Business Media
ISBN: 3642931421
Category : Science
Languages : en
Pages : 336
Book Description
Since the discovery of quantum mechanics,more than fifty years ago,the theory of chemical reactivity has taken the first steps of its development. The knowledge of the electronic structure and the properties of atoms and molecules is the basis for an un derstanding of their interactions in the elementary act of any chemical process. The increasing information in this field during the last decades has stimulated the elaboration of the methods for evaluating the potential energy of the reacting systems as well as the creation of new methods for calculation of reaction probabili ties (or cross sections) and rate constants. An exact solution to these fundamental problems of theoretical chemistry based on quan tum mechanics and statistical physics, however, is still impossible even for the simplest chemical reactions. Therefore,different ap proximations have to be used in order to simplify one or the other side of the problem. At present, the basic approach in the theory of chemical reactivity consists in separating the motions of electrons and nu clei by making use of the Born-Oppenheimer adiabatic approximation to obtain electronic energy as an effective potential for nuclear motion. If the potential energy surface is known, one can calculate, in principle, the reaction probability for any given initial state of the system. The reaction rate is then obtained as an average of the reaction probabilities over all possible initial states of the reacting ~artic1es. In the different stages of this calculational scheme additional approximations are usually introduced.
Publisher: Springer Science & Business Media
ISBN: 3642931421
Category : Science
Languages : en
Pages : 336
Book Description
Since the discovery of quantum mechanics,more than fifty years ago,the theory of chemical reactivity has taken the first steps of its development. The knowledge of the electronic structure and the properties of atoms and molecules is the basis for an un derstanding of their interactions in the elementary act of any chemical process. The increasing information in this field during the last decades has stimulated the elaboration of the methods for evaluating the potential energy of the reacting systems as well as the creation of new methods for calculation of reaction probabili ties (or cross sections) and rate constants. An exact solution to these fundamental problems of theoretical chemistry based on quan tum mechanics and statistical physics, however, is still impossible even for the simplest chemical reactions. Therefore,different ap proximations have to be used in order to simplify one or the other side of the problem. At present, the basic approach in the theory of chemical reactivity consists in separating the motions of electrons and nu clei by making use of the Born-Oppenheimer adiabatic approximation to obtain electronic energy as an effective potential for nuclear motion. If the potential energy surface is known, one can calculate, in principle, the reaction probability for any given initial state of the system. The reaction rate is then obtained as an average of the reaction probabilities over all possible initial states of the reacting ~artic1es. In the different stages of this calculational scheme additional approximations are usually introduced.
Collision Theory
Author: Teimuraz Kopaleishvili
Publisher: World Scientific
ISBN: 9789810220983
Category : Science
Languages : en
Pages : 216
Book Description
This book gives a systematic description of collision theory within the framework of non-relativistic quantum mechanics. However, the final expressions obtained can also hold for particles with spin and under relativistic conditions. The general theory is formulated for two elementary particles, for the scattering of an elementary particle with a bound system of elementary particles, and for the scattering process for a three-particle system (Faddeev's theory). In addition, the scattering problems are considered using exact and approximation methods.
Publisher: World Scientific
ISBN: 9789810220983
Category : Science
Languages : en
Pages : 216
Book Description
This book gives a systematic description of collision theory within the framework of non-relativistic quantum mechanics. However, the final expressions obtained can also hold for particles with spin and under relativistic conditions. The general theory is formulated for two elementary particles, for the scattering of an elementary particle with a bound system of elementary particles, and for the scattering process for a three-particle system (Faddeev's theory). In addition, the scattering problems are considered using exact and approximation methods.
Theory of Slow Atomic Collisions
Author: E.E. Nikitin
Publisher: Springer Science & Business Media
ISBN: 364282045X
Category : Science
Languages : en
Pages : 445
Book Description
The theory of atom-molecule collisions is one of the basic fields in chemi cal physics. Its most challenging part - the dynamics of chemical reactions - is as yet unresolved, but is developing very quickly. It is here a great help to have an analysis of those parts of collision theory which are already complete, a good example being the theory of atomic collisions in process es specific to chemical physics. It has long been observed that many notions of this theory can also be applied successfully to reactive and unreactive molecular collisions. More over, atomic collisions often represent a touchstone in testing approaches proposed for the solution of more complicated problems. Research on the theory of slow atomic collisions carried out at the Moscow Institute of Chemical Physics has been based on just these ideas. A general viewpoint concerning the setting up and representation of the theory came out of these studies, and appeared to be useful in studying complicated systems as well. It underlies the representation of the theory of slow atomic colli sions in this book.
Publisher: Springer Science & Business Media
ISBN: 364282045X
Category : Science
Languages : en
Pages : 445
Book Description
The theory of atom-molecule collisions is one of the basic fields in chemi cal physics. Its most challenging part - the dynamics of chemical reactions - is as yet unresolved, but is developing very quickly. It is here a great help to have an analysis of those parts of collision theory which are already complete, a good example being the theory of atomic collisions in process es specific to chemical physics. It has long been observed that many notions of this theory can also be applied successfully to reactive and unreactive molecular collisions. More over, atomic collisions often represent a touchstone in testing approaches proposed for the solution of more complicated problems. Research on the theory of slow atomic collisions carried out at the Moscow Institute of Chemical Physics has been based on just these ideas. A general viewpoint concerning the setting up and representation of the theory came out of these studies, and appeared to be useful in studying complicated systems as well. It underlies the representation of the theory of slow atomic colli sions in this book.
Atomic Collision Theory
Author: B. H. Bransden
Publisher: Addison Wesley Longman
ISBN:
Category : Science
Languages : en
Pages : 490
Book Description
Table of atomic constants
Publisher: Addison Wesley Longman
ISBN:
Category : Science
Languages : en
Pages : 490
Book Description
Table of atomic constants
Collision Theory for Atoms and Molecules
Author: Franco A. Gianturco
Publisher: Springer Science & Business Media
ISBN: 1468456555
Category : Science
Languages : en
Pages : 527
Book Description
The NATO-Advanced Study Institute on "Collision Theory for Atoms and Molecules" was made possible by the main sponsorship and the generous financial support of the NATO Scientific Affairs Division in Brussels. Belgium. Special thanks are therefore due to the late Dr. Mario Di Lullo and to Dr. Craig Sinclair. of this Division. who repeatedly advised us and kept us aware of administrative requirements. The Institute was also assisted by the financial aid from the Scientific Committees for Chemistry and Physics of the Italian National Research Council (CNR). The search and selection of a suitable location. one which participants would easily reach from any of Italy's main airports, was ably aided by the Personnel of the Scuola Normale Superiore of Pisa and made possible by its Directorship. Our thanks therefore go to its present director. Prof. L. Radicati. and to its past director. Prof. E. Vesentini who first agreed to our use of their main building in Pisa and of their palatial facilities at the "Palazzone" in Cortona.
Publisher: Springer Science & Business Media
ISBN: 1468456555
Category : Science
Languages : en
Pages : 527
Book Description
The NATO-Advanced Study Institute on "Collision Theory for Atoms and Molecules" was made possible by the main sponsorship and the generous financial support of the NATO Scientific Affairs Division in Brussels. Belgium. Special thanks are therefore due to the late Dr. Mario Di Lullo and to Dr. Craig Sinclair. of this Division. who repeatedly advised us and kept us aware of administrative requirements. The Institute was also assisted by the financial aid from the Scientific Committees for Chemistry and Physics of the Italian National Research Council (CNR). The search and selection of a suitable location. one which participants would easily reach from any of Italy's main airports, was ably aided by the Personnel of the Scuola Normale Superiore of Pisa and made possible by its Directorship. Our thanks therefore go to its present director. Prof. L. Radicati. and to its past director. Prof. E. Vesentini who first agreed to our use of their main building in Pisa and of their palatial facilities at the "Palazzone" in Cortona.
Dynamical Collision Theory and Its Applications
Author: Sadhan Adhikari
Publisher: Academic Press
ISBN: 0323140718
Category : Technology & Engineering
Languages : en
Pages : 509
Book Description
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.
Publisher: Academic Press
ISBN: 0323140718
Category : Technology & Engineering
Languages : en
Pages : 509
Book Description
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.