A Brief Introduction to Dispersion Relations

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Publisher : Springer
ISBN 13 : 3030135829
Total Pages : 141 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis A Brief Introduction to Dispersion Relations by : José Antonio Oller

Download or read book A Brief Introduction to Dispersion Relations written by José Antonio Oller and published by Springer. This book was released on 2019-03-22 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a brief introduction to the dispersion relations as an approach to calculate S-matrix elements, a formalism that allows one to take advantage of the analytical structure of scattering amplitudes following the basic principles of unitarity and causality. First, the case of two-body scattering is considered and then its contribution to other processes through final-state interactions is discussed. For two-body scattering amplitudes, the general expression for a partial-wave amplitude is derived in the approximation where the crossed channel dynamics is neglected. This is taken as the starting point for many interesting nonperturbative applications, both in the light and heavy quark sector. Subsequently crossed channel dynamics is introduced within the equations for calculating the partial-wave amplitudes. Some applications based on methods that treat crossed-channel dynamics perturbatively are discussed too. The last part of this introductory treatment is dedicated to the further impact of scattering amplitudes on a variety of processes through final-state interactions. Several possible approaches are discussed such as the Muskhelishvili-Omnes dispersive integral equations and other closed formulae. These different formalisms are then applied in particular to the study of resonances presenting a number of challenging properties. The book ends with a chapter illustrating the use of dispersion relations in the nuclear medium for the evaluation of the energy density in nuclear matter.

Numerical Solution of the Dispersion Relations for a Hot Magnetoplasma with Collisions

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Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Numerical Solution of the Dispersion Relations for a Hot Magnetoplasma with Collisions by : Robert J. Papa

Download or read book Numerical Solution of the Dispersion Relations for a Hot Magnetoplasma with Collisions written by Robert J. Papa and published by . This book was released on 1972 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed numerical studies have been made on the dispersion relations for electromagnetic waves propagating in partially ionized gases immersed in a dc magnetic field. Accurate values of the attenuation constant and phase shift are needed in the design of radio communications systems where waves must propagate through an ionized gas (such as in reentry communications systems), in the design of radar jamming devices used during missile reentry, and in the analytical study of ionospheric propagation phenomena. The numerical solution of the dispersion relations enable the effects of collisionless wave damping, velocity-dependent electron-neutral collisions, and Coulomb encounters to be studied. The attenuation and phase shift of waves propagating through a plasma are dependent upon the signal frequency, plasma temperature, plasma density, degree of ionization, and cross sections for electron scattering. Graphs are presented which enable attenuation constants and phase shifts to be readily evaluated for a very wide range of possible plasma conditions. (Author).

Dispersion Relations in Heavily-Doped Nanostructures

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Publisher : Springer
ISBN 13 : 3319210009
Total Pages : 664 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Dispersion Relations in Heavily-Doped Nanostructures by : Kamakhya Prasad Ghatak

Download or read book Dispersion Relations in Heavily-Doped Nanostructures written by Kamakhya Prasad Ghatak and published by Springer. This book was released on 2015-10-26 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the dispersion relation in heavily doped nano-structures. The materials considered are III-V, II-VI, IV-VI, GaP, Ge, Platinum Antimonide, stressed, GaSb, Te, II-V, HgTe/CdTe superlattices and Bismuth Telluride semiconductors. The dispersion relation is discussed under magnetic quantization and on the basis of carrier energy spectra. The influences of magnetic field, magneto inversion, and magneto nipi structures on nano-structures is analyzed. The band structure of optoelectronic materials changes with photo-excitation in a fundamental way according to newly formulated electron dispersion laws. They control the quantum effect in optoelectronic devices in the presence of light. The measurement of band gaps in optoelectronic materials in the presence of external photo-excitation is displayed. The influences of magnetic quantization, crossed electric and quantizing fields, intense electric fields on the on the dispersion relation in heavily doped semiconductors and super-lattices are also discussed. This book contains 200 open research problems which form the integral part of the text and are useful for graduate students and researchers. The book is written for post graduate students, researchers and engineers.

Causality and Dispersion Relations

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Publisher : Academic Press
ISBN 13 : 0080956041
Total Pages : 434 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Causality and Dispersion Relations by : Nussenzveig

Download or read book Causality and Dispersion Relations written by Nussenzveig and published by Academic Press. This book was released on 1972-12-15 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Causality and Dispersion Relations

Contemporary Art, Systems and the Aesthetics of Dispersion

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Publisher : Taylor & Francis
ISBN 13 : 1000902730
Total Pages : 107 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Contemporary Art, Systems and the Aesthetics of Dispersion by : Francis Halsall

Download or read book Contemporary Art, Systems and the Aesthetics of Dispersion written by Francis Halsall and published by Taylor & Francis. This book was released on 2023-05-16 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using five case studies of contemporary art, this book uses ideas of systems and dispersion to understand identity and experience in late capitalism. This book considers five artists who exemplify contemporary art practice: Seth Price; Liam Gillick; Martin Creed; Hito Steyerl; and Theaster Gates. Given the diversity of materials used in art today, once-traditional artistic mediums and practices have become obsolete in describing what artists do today. Francis Halsall argues that, in the face of this obsolescence, the ideas of system and dispersion become very useful in understanding contemporary art. That is, practitioners now can be seen to be using whatever systems of distribution and display are available to them as their creative mediums. The two central arguments are first that any understanding of what art is will always be underwritten by a related view of what a human being is; and second that these both have a particular character in late capitalism or, as is named here, the Age of Dispersion. The book will be of interest to scholars and students working in art history, contemporary art, studio art, and theories of systems and networks.

Metallography of Dispersion Hardened Alloys and Its Relation to Creep Resistance

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Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Metallography of Dispersion Hardened Alloys and Its Relation to Creep Resistance by : Ian Sydney Brammar

Download or read book Metallography of Dispersion Hardened Alloys and Its Relation to Creep Resistance written by Ian Sydney Brammar and published by . This book was released on 1963 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Techniques are described for the preparation of thin foils of sintered alumina-aluminum alloys (S.A.P.) for study in the electron microscope. The morphology of the dispersed phase and its relation to the microstructure have been examined. The results are discussed with reference to the current theories of creep of S.A.P. (R).

Three-particle Physics and Dispersion Relation Theory

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Publisher : World Scientific
ISBN 13 : 9814478814
Total Pages : 342 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Three-particle Physics and Dispersion Relation Theory by : A. V. Anisovich

Download or read book Three-particle Physics and Dispersion Relation Theory written by A. V. Anisovich and published by World Scientific. This book was released on 2013 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The necessity of describing three-nucleon and three-quark systems have led to a constant interest in the problem of three particles. The question of including relativistic effects appeared together with the consideration of the decay amplitude in the framework of the dispersion technique. The relativistic dispersion description of amplitudes always takes into account processes connected with the investigated reaction by the unitarity condition or by virtual transitions; in the case of three-particle processes they are, as a rule, those where other many-particle states and resonances are produced. The description of these interconnected reactions and ways of handling them is the main subject of the book.

Dispersion Relation for the Process [Pi] + N -> [Pi']+[Pi"] +N' in Approximation of a Quiescent Nucleon. (Dispersionnoye Sootnosheniye Dlia Protsessa ... V Priblizhenii Pokoyashchegosia Nuklona)

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Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Dispersion Relation for the Process [Pi] + N -> [Pi']+[Pi"] +N' in Approximation of a Quiescent Nucleon. (Dispersionnoye Sootnosheniye Dlia Protsessa ... V Priblizhenii Pokoyashchegosia Nuklona) by : V. Tsellner

Download or read book Dispersion Relation for the Process [Pi] + N -> [Pi']+[Pi"] +N' in Approximation of a Quiescent Nucleon. (Dispersionnoye Sootnosheniye Dlia Protsessa ... V Priblizhenii Pokoyashchegosia Nuklona) written by V. Tsellner and published by . This book was released on 1958 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Reverse Dispersion Relations

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Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Reverse Dispersion Relations by : V. Blank

Download or read book Reverse Dispersion Relations written by V. Blank and published by . This book was released on 1957 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Parity of the K Meson from a Dispersion Relation

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Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Parity of the K Meson from a Dispersion Relation by : Charles J. Goebel

Download or read book The Parity of the K Meson from a Dispersion Relation written by Charles J. Goebel and published by . This book was released on 1958 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dispersion Relations of Plasma Oscillations

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Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Dispersion Relations of Plasma Oscillations by : Ikuo Kaji

Download or read book Dispersion Relations of Plasma Oscillations written by Ikuo Kaji and published by . This book was released on 1961 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dispersion, Complex Analysis and Optical Spectroscopy

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540645221
Total Pages : 152 pages
Book Rating : 4.6/5 (452 download)

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Book Synopsis Dispersion, Complex Analysis and Optical Spectroscopy by : Kai-Erik Peiponen

Download or read book Dispersion, Complex Analysis and Optical Spectroscopy written by Kai-Erik Peiponen and published by Springer Science & Business Media. This book was released on 1998-11-30 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to dispersion theory in linear and nonlinear optics. Dispersion relations and methods of analysis in optical spectroscopy are derived with the aid of complex analysis. The book introduces the mathematical basis and derivations of various dispersion relations that are used in optical spectroscopy. In addition, it presents the dispersion theory of the nonlinear optical processes which are essential in modern optical spectroscopy. The book includes new methods such as the maximum entropy model for wavelength-dependent spectra analysis.

Crystal Optics with Spatial Dispersion, and Excitons

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Publisher : Springer Science & Business Media
ISBN 13 : 3662024063
Total Pages : 454 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Crystal Optics with Spatial Dispersion, and Excitons by : Vladimir M. Agranovich

Download or read book Crystal Optics with Spatial Dispersion, and Excitons written by Vladimir M. Agranovich and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatial dispersion, namely, the dependence of the dielectric-constant tensor on the wave vector (i.e., on the wavelength) at a fixed frequency, is receiving increased attention in electrodynamics and condensed-matter optics, partic ularly in crystal optics. In contrast to frequency dispersion, namely, the frequency dependence of the dielectric constant, spatial dispersion is of interest in optics mainly when it leads to qualitatively new phenomena. One such phenomenon has been weH known for many years; it is the natural optical activity (gyrotropy). But there are other interesting effects due to spatial dispersion, namely, new normal waves near absorption lines, optical anisotropy of cubic crystals, and many others. Crystal optics that takes spatial dispersion into account includes classical crystal optics with frequency dispersion only, as a special case. In our opinion, this fact alone justifies efforts to develop crystal optics with spatial dispersion taken into account, although admittedly its influence is smaH in some cases and it is observable only under rather special conditions. Furthermore, spatial dispersion in crystal optics deserves attention from another point as well, namely, the investigation of excitons that can be excited by light. We contend that crystal optics with spatial dispersion and the theory of excitons are fields that overlap to a great extent, and that it is sometimes quite impossible to separate them. It is our aim to show the true interplay be tween these interrelations and to combine the macroscopic and microscopic approaches to crystal optics with spatial dispersion and exciton theory.

Optical Absorption and Dispersion in Solids

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Publisher : Springer Science & Business Media
ISBN 13 : 1461333210
Total Pages : 146 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Optical Absorption and Dispersion in Solids by : John Noel. Hodgson

Download or read book Optical Absorption and Dispersion in Solids written by John Noel. Hodgson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: The electromagnetic theory of Maxwell and the electron theory of Lorentz and Drude stimulated a great deal of experimental work on the optical properties of solids in the late nineteenth and early twentieth centuries. The time was not then ripe, however, for general progress in this field. The experimental techniques were not available to produce suitable specimens for optical measurements with well defined structure and purity. On the theoretical side, the classical electron theory provided only a very incomplete account of the interaction of light waves with matter. The centre of interest in optical research moved to atomic and molecular spectroscopy where quantitative results were easier to obtain. The quantum theory, starting with Bohr's theory of 1913, provided a highly successful basis for the interpretation of the optical spectra of atoms and molecules. The present-day theory of the optical properties of solids is based on the quantum theory of electrons in solids, developed from the early researches of Sommerfeld and Bloch, and the theory of lattice vibrations originating in the research by Born. The formal con nection between optical absorption and electron wave functions in solids has been well known since the 1930s but it is only recently that electron energy band calculations have achieved sufficient accuracy to make profitable a comparison of experimental and theoretical results. Without some guidance from a theoretical band structure calculation, it would be difficult to make any progress with the in terpretation of an optical absorption spectrum.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 1370 pages
Book Rating : 4.3/5 (126 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1967 with total page 1370 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Traveltime and Dispersion in the Illinois River, Marseilles to Peoria, Illinois

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Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis Traveltime and Dispersion in the Illinois River, Marseilles to Peoria, Illinois by : E. E. Zuehls

Download or read book Traveltime and Dispersion in the Illinois River, Marseilles to Peoria, Illinois written by E. E. Zuehls and published by . This book was released on 1987 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Biotechnology and the Politics of Plants

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Publisher : Routledge
ISBN 13 : 100040336X
Total Pages : 167 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Biotechnology and the Politics of Plants by : Matt Hodges

Download or read book Biotechnology and the Politics of Plants written by Matt Hodges and published by Routledge. This book was released on 2021-04-13 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biotechnology and the Politics of Plants explores the mysterious phenomenon of ‘apomixis’, the ability of certain plants to ‘self-clone’, and its potential as a revolutionary tool for agriculture and enhancing food security, that may soon be a reality. Through historical anthropological and ethnographic study, Matt Hodges traces the development of the CIMMYT Apomixis Project, a prominent frontier research initiative, and its reinvention as a leading public-private partnership. He analyzes the fast-moving historical transition from public sector, mixed plant breeding approaches grounded in genetics, to a contemporary era of agricultural biotechnology and genomics where PPPs are a leading format, and explores how social contexts of research shape how knowledge is produced, as well as what remains ‘unknown’, and constrain the development of an ‘Apomixis Technology’. The chapters present an inventive approach informed by the anthropology of time, science and technology studies, and dialogue with the work of Gilles Deleuze, Paul Rabinow, Hannah Arendt, Andrew Pickering, and Eduardo Viveiros de Castro. Hodges outlines novel ways of integrating notions of history and becoming, and considers how apomixis offers up an alternative image of thought to theoretical concepts such as the well-known ‘rhizome’. The book makes a valuable contribution to both the growing social scientific literature on genomics and biotechnology, and recent anthropological debates on time and history.