Principles of Quantum Scattering Theory

Principles of Quantum Scattering Theory PDF

Author: Dzevad Belkic

Publisher: CRC Press

Published: 2020-01-15

Total Pages: 402

ISBN-13: 9781420033649

DOWNLOAD EBOOK →

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

Principles of Quantum Scattering Theory PDF

Author: Dzevad Belkic

Publisher: CRC Press

Published: 2020-01-15

Total Pages: 218

ISBN-13: 042952496X

DOWNLOAD EBOOK →

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 Mechanics

Principles of Quantum Mechanics PDF

Author: R. Shankar

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 676

ISBN-13: 147570576X

DOWNLOAD EBOOK →

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

Scattering Theory PDF

Author: John R. Taylor

Publisher: Courier Corporation

Published: 2012-05-23

Total Pages: 498

ISBN-13: 0486142078

DOWNLOAD EBOOK →

This graduate-level text, intended for any student of physics who requires a thorough grounding in the quantum theory of nonrelativistic scattering, emphasizes the time-dependent approach. 1983 edition.

General Principles of Quantum Field Theory

General Principles of Quantum Field Theory PDF

Author: N.N. Bogolubov

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 714

ISBN-13: 9400904916

DOWNLOAD EBOOK →

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.

Quantum Theory of Scattering

Quantum Theory of Scattering PDF

Author: Ta-you Wu

Publisher:

Published: 1962

Total Pages: 538

ISBN-13:

DOWNLOAD EBOOK →

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.

Scattering Theory

Scattering Theory PDF

Author: John R. Taylor

Publisher: Courier Corporation

Published: 2006-05-26

Total Pages: 498

ISBN-13: 0486450139

DOWNLOAD EBOOK →

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.

Lectures in Scattering Theory

Lectures in Scattering Theory PDF

Author: A. G. Sitenko

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 280

ISBN-13: 1483186822

DOWNLOAD EBOOK →

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.

Lanterna Rally - Theme by Grace Themes