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Principles of Quantum Scattering Theory

Author: Dzevad Belkic

Publisher: CRC Press

Published: 2020-01-15

Total Pages: 402

ISBN-13: 9781420033649

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Scattering is one of the most powerful methods used to study the structure of matter, and many of the most important breakthroughs in physics have been made by means of scattering. Nearly a century has passed since the first investigations in this field, and the work undertaken since then has resulted in a rich literature encompassing both experimental and theoretical results. In scattering, one customarily studies collisions among nuclear, sub-nuclear, atomic or molecular particles, and as these are intrinsically quantum systems, it is logical that quantum mechanics is used as the basis for modern scattering theory. In Principles of Quantum Scattering Theory, the author judiciously combines physical intuition and mathematical rigour to present various selected principles of quantum scattering theory. As always in physics, experiment should be used to ultimately validate physical and mathematical modelling, and the author presents a number of exemplary illustrations, comparing theoretical and experimental cross sections in a selection of major inelastic ion-atom collisions at high non-relativistic energies. Quantum scattering theory, one of the most beautiful theories in physics, is also very rich in mathematics. Principles of Quantum Scattering Theory is intended primarily for graduate physics students, but also for non-specialist physicists for whom the clarity of exposition should aid comprehension of these mathematical complexities.

Book Synopsis Principles of Quantum Scattering Theory by : Dzevad Belkic

Download or read book Principles of Quantum Scattering Theory written by Dzevad Belkic and published by CRC Press. This book was released on 2020-01-15 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering is one of the most powerful methods used to study the structure of matter, and many of the most important breakthroughs in physics have been made by means of scattering. Nearly a century has passed since the first investigations in this field, and the work undertaken since then has resulted in a rich literature encompassing both experimental and theoretical results. In scattering, one customarily studies collisions among nuclear, sub-nuclear, atomic or molecular particles, and as these are intrinsically quantum systems, it is logical that quantum mechanics is used as the basis for modern scattering theory. In Principles of Quantum Scattering Theory, the author judiciously combines physical intuition and mathematical rigour to present various selected principles of quantum scattering theory. As always in physics, experiment should be used to ultimately validate physical and mathematical modelling, and the author presents a number of exemplary illustrations, comparing theoretical and experimental cross sections in a selection of major inelastic ion-atom collisions at high non-relativistic energies. Quantum scattering theory, one of the most beautiful theories in physics, is also very rich in mathematics. Principles of Quantum Scattering Theory is intended primarily for graduate physics students, but also for non-specialist physicists for whom the clarity of exposition should aid comprehension of these mathematical complexities.

Principles of Quantum Scattering Theory

Author: Dzevad Belkic

Publisher: CRC Press

Published: 2020-01-15

Total Pages: 218

ISBN-13: 042952496X

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Book Synopsis Principles of Quantum Scattering Theory by : Dzevad Belkic

Download or read book Principles of Quantum Scattering Theory written by Dzevad Belkic and published by CRC Press. This book was released on 2020-01-15 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering is one of the most powerful methods used to study the structure of matter, and many of the most important breakthroughs in physics have been made by means of scattering. Nearly a century has passed since the first investigations in this field, and the work undertaken since then has resulted in a rich literature encompassing both experimental and theoretical results. In scattering, one customarily studies collisions among nuclear, sub-nuclear, atomic or molecular particles, and as these are intrinsically quantum systems, it is logical that quantum mechanics is used as the basis for modern scattering theory. In Principles of Quantum Scattering Theory, the author judiciously combines physical intuition and mathematical rigour to present various selected principles of quantum scattering theory. As always in physics, experiment should be used to ultimately validate physical and mathematical modelling, and the author presents a number of exemplary illustrations, comparing theoretical and experimental cross sections in a selection of major inelastic ion-atom collisions at high non-relativistic energies. Quantum scattering theory, one of the most beautiful theories in physics, is also very rich in mathematics. Principles of Quantum Scattering Theory is intended primarily for graduate physics students, but also for non-specialist physicists for whom the clarity of exposition should aid comprehension of these mathematical complexities.

Quantum Theory of Scattering

Author: Ta-you Wu

Publisher:

Published: 1962

Total Pages: 532

ISBN-13:

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General theory of scattering of a particle by a central field -- Partial wave analysis -- Integral equation for scattering -- Born and other approximations -- Variational methods -- Slow collisions : theory of scattering length and effective range -- Appendices to section -- F.S. Matrix and bound states, virtual and decaying states -- Determination of V(r) from the scattering data -- Scattering of a particle by a non-central field -- Scattering by tensor and L*S potential : partial wave analysis -- Scattering by tensor and L*S fields : born approximation -- Polarization effects -- Nucleon-nucleon scattering -- Collision between composite particles -- Scattering of an electron by hydrogen atom -- Scattering involving rearrangements -- Scattering of a particle by a system of particles -- Time-dependent theory of scattering -- Methods of unitary operator and of Green's function -- Time-dependent theory of scattering : variational principles of Lippman and Schwinger -- Time-dependent theory of scattering : treatment of Gellman and Goldberger -- Time-dependent theory : method of spectral representation -- Mathematical theory of scattering operator -- Nuclear reactions -- Resonance reactions -- Optical model -- Deuteron stripping reaction and other direct processes -- Scattering matrix S and derivative matrix -- Scattering matrix S -- The R or derivative, matrix -- Dispersion relations -- Dispersion relation and causality in optics : observations of the Kronig and Kramers -- Dispersion relations : scattering by a potential.

Book Synopsis Quantum Theory of Scattering by : Ta-you Wu

Download or read book Quantum Theory of Scattering written by Ta-you Wu and published by . This book was released on 1962 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: General theory of scattering of a particle by a central field -- Partial wave analysis -- Integral equation for scattering -- Born and other approximations -- Variational methods -- Slow collisions : theory of scattering length and effective range -- Appendices to section -- F.S. Matrix and bound states, virtual and decaying states -- Determination of V(r) from the scattering data -- Scattering of a particle by a non-central field -- Scattering by tensor and L*S potential : partial wave analysis -- Scattering by tensor and L*S fields : born approximation -- Polarization effects -- Nucleon-nucleon scattering -- Collision between composite particles -- Scattering of an electron by hydrogen atom -- Scattering involving rearrangements -- Scattering of a particle by a system of particles -- Time-dependent theory of scattering -- Methods of unitary operator and of Green's function -- Time-dependent theory of scattering : variational principles of Lippman and Schwinger -- Time-dependent theory of scattering : treatment of Gellman and Goldberger -- Time-dependent theory : method of spectral representation -- Mathematical theory of scattering operator -- Nuclear reactions -- Resonance reactions -- Optical model -- Deuteron stripping reaction and other direct processes -- Scattering matrix S and derivative matrix -- Scattering matrix S -- The R or derivative, matrix -- Dispersion relations -- Dispersion relation and causality in optics : observations of the Kronig and Kramers -- Dispersion relations : scattering by a potential.

Principles of Quantum Mechanics

Author: R. Shankar

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 676

ISBN-13: 147570576X

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R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include: - Clear, accessible treatment of underlying mathematics - A review of Newtonian, Lagrangian, and Hamiltonian mechanics - Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates - Unsurpassed coverage of path integrals and their relevance in contemporary physics The requisite text for advanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions. The book’s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.

Book Synopsis Principles of Quantum Mechanics by : R. Shankar

Download or read book Principles of Quantum Mechanics written by R. Shankar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include: - Clear, accessible treatment of underlying mathematics - A review of Newtonian, Lagrangian, and Hamiltonian mechanics - Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates - Unsurpassed coverage of path integrals and their relevance in contemporary physics The requisite text for advanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions. The book’s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.

Scattering Theory

Author: John R. Taylor

Publisher: Courier Corporation

Published: 2006-05-26

Total Pages: 498

ISBN-13: 0486450139

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This graduate-level text is intended for any student of physics who requires a thorough grounding in the quantum theory of nonrelativistic scattering. It is designed for readers who are already familiar with the general principles of quantum mechanics and who have some small acquaintance with scattering theory. Study of this text will allow students of atomic or nuclear physics to begin reading the literature and tackling real problems, with a complete grasp of the underlying principles. For students of high-energy physics, it provides the necessary background for later study of relativistic problems. Topics are presented in terms of the simplest relevant example, so that scattering theory can be learned by becoming familiar with all of the basic concepts — the S operator, cross sections, the T matrix, and so forth — in their simplest context. The time-dependent approach to the subject is emphasized, starting with the use of time-dependent formalism to define all of the basic concepts and the subsequent introduction of the time-independent theory as a tool for computation and for establishing certain general properties. Problems at the end of each chapter improve and supplement readers' grasp of the material.

Book Synopsis Scattering Theory by : John R. Taylor

Download or read book Scattering Theory written by John R. Taylor and published by Courier Corporation. This book was released on 2006-05-26 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text is intended for any student of physics who requires a thorough grounding in the quantum theory of nonrelativistic scattering. It is designed for readers who are already familiar with the general principles of quantum mechanics and who have some small acquaintance with scattering theory. Study of this text will allow students of atomic or nuclear physics to begin reading the literature and tackling real problems, with a complete grasp of the underlying principles. For students of high-energy physics, it provides the necessary background for later study of relativistic problems. Topics are presented in terms of the simplest relevant example, so that scattering theory can be learned by becoming familiar with all of the basic concepts — the S operator, cross sections, the T matrix, and so forth — in their simplest context. The time-dependent approach to the subject is emphasized, starting with the use of time-dependent formalism to define all of the basic concepts and the subsequent introduction of the time-independent theory as a tool for computation and for establishing certain general properties. Problems at the end of each chapter improve and supplement readers' grasp of the material.

Scattering Theory in Quantum Mechanics

Author: Werner O. Amrein

Publisher: Addison Wesley Longman

Published: 1977

Total Pages: 730

ISBN-13:

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Book Synopsis Scattering Theory in Quantum Mechanics by : Werner O. Amrein

Download or read book Scattering Theory in Quantum Mechanics written by Werner O. Amrein and published by Addison Wesley Longman. This book was released on 1977 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt:

General Principles of Quantum Field Theory

Author: N.N. Bogolubov

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 714

ISBN-13: 9400904916

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The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance even to this day, in spite of the fact that nowadays the main prospects for the description of the electro-weak and strong interactions are in connection with the theory of gauge fields. In fact, from the point of view of the quark model, the theory of strong interactions of Wightman type was obtained by restricting attention to just the "physical" local operators (such as hadronic fields consisting of ''fundamental'' quark fields) acting in a Hilbert space of physical states. In principle, there are enough such "physical" fields for a description of hadronic physics, although this means that one must reject the traditional local Lagrangian formalism. (The connection is restored in the approximation of low-energy "phe nomenological" Lagrangians.

Book Synopsis General Principles of Quantum Field Theory by : N.N. Bogolubov

Download or read book General Principles of Quantum Field Theory written by N.N. Bogolubov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. Originally, the axiomatic approach arose from attempts to give a mathematical meaning to the quantum field theory of strong interactions (of Yukawa type). The fields in such a theory are realized by operators in Hilbert space with a positive Poincare-invariant scalar product. This "classical" part of the axiomatic approach attained its modern form as far back as the sixties. * It has retained its importance even to this day, in spite of the fact that nowadays the main prospects for the description of the electro-weak and strong interactions are in connection with the theory of gauge fields. In fact, from the point of view of the quark model, the theory of strong interactions of Wightman type was obtained by restricting attention to just the "physical" local operators (such as hadronic fields consisting of ''fundamental'' quark fields) acting in a Hilbert space of physical states. In principle, there are enough such "physical" fields for a description of hadronic physics, although this means that one must reject the traditional local Lagrangian formalism. (The connection is restored in the approximation of low-energy "phe nomenological" Lagrangians.

Introduction to the Quantum Theory of Scattering

Author: Leonard S. Rodberg

Publisher:

Published: 1967

Total Pages: 1012

ISBN-13:

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Book Synopsis Introduction to the Quantum Theory of Scattering by : Leonard S. Rodberg

Download or read book Introduction to the Quantum Theory of Scattering written by Leonard S. Rodberg and published by . This book was released on 1967 with total page 1012 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures in Scattering Theory

Author: A. G. Sitenko

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 280

ISBN-13: 1483186822

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Lectures in Scattering Theory discusses problems in quantum mechanics and the principles of the non-relativistic theory of potential scattering. This book describes in detail the properties of the scattering matrix and its connection with physically observable quantities. This text presents a stationary formulation of the scattering problem and the wave functions of a particle found in an external field. This book also examines the analytic properties of the scattering matrix, dispersion relations, complex angular moments, as well as the separable representation of the scattering amplitude. The text also explains the method of factorizing the potential and the two-particle scattering amplitude, based on the Hilbert-Schmidt theorem for symmetric integral equations. In investigating the problem of scattering in a three-particle system, this book notes that the inapplicability of the Lippman-Schwinger equations can be fixed by appropriately re-arranging the equations. Faddeev equations are the new equations formed after such re-arrangements. This book also cites, as an example, the scattering of a spin-1/2 particle by a spinless particle (such as the scattering of a nucleon by a spinless nucleus). This text is suitable for students and professors dealing with quantum mechanics, theoretical nuclear physics, or other fields of advanced physics.

Book Synopsis Lectures in Scattering Theory by : A. G. Sitenko

Download or read book Lectures in Scattering Theory written by A. G. Sitenko and published by Elsevier. This book was released on 2013-10-22 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures in Scattering Theory discusses problems in quantum mechanics and the principles of the non-relativistic theory of potential scattering. This book describes in detail the properties of the scattering matrix and its connection with physically observable quantities. This text presents a stationary formulation of the scattering problem and the wave functions of a particle found in an external field. This book also examines the analytic properties of the scattering matrix, dispersion relations, complex angular moments, as well as the separable representation of the scattering amplitude. The text also explains the method of factorizing the potential and the two-particle scattering amplitude, based on the Hilbert-Schmidt theorem for symmetric integral equations. In investigating the problem of scattering in a three-particle system, this book notes that the inapplicability of the Lippman-Schwinger equations can be fixed by appropriately re-arranging the equations. Faddeev equations are the new equations formed after such re-arrangements. This book also cites, as an example, the scattering of a spin-1/2 particle by a spinless particle (such as the scattering of a nucleon by a spinless nucleus). This text is suitable for students and professors dealing with quantum mechanics, theoretical nuclear physics, or other fields of advanced physics.

Collision Theory

Author: Marvin L. Goldberger

Publisher: Courier Corporation

Published: 2004-01-01

Total Pages: 930

ISBN-13: 0486435075

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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.

Book Synopsis Collision Theory by : Marvin L. Goldberger

Download or read book Collision Theory written by Marvin L. Goldberger and published by Courier Corporation. This book was released on 2004-01-01 with total page 930 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.