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Author : Arthur Erdélyi
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.3/5 (91 download)
Download or read book Asymptotic Forms of Coulomb Wave Functions, II written by Arthur Erdélyi and published by . This book was released on 1955 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harry Yserentant
Publisher : Springer
ISBN 13 : 3642122485
Total Pages : 194 pages
Book Rating : 4.6/5 (421 download)
Download or read book Regularity and Approximability of Electronic Wave Functions written by Harry Yserentant and published by Springer. This book was released on 2010-05-19 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The electronic Schrodi ̈ nger equation describes the motion of N electrons under Coulomb interaction forces in a eld of clamped nuclei. Solutions of this equation depend on 3N variables, three spatial dimensions for each electron. Approxim- ing the solutions is thus inordinately challenging, and it is conventionally believed that a reduction to simpli ed models, such as those of the Hartree-Fock method or density functional theory, is the only tenable approach. This book seeks to c- vince the reader that this conventional wisdom need not be ironclad: the regularity of the solutions, which increases with the number of electrons, the decay behavior of their mixed derivatives, and the antisymmetry enforced by the Pauli principle contribute properties that allow these functions to be approximated with an order of complexity which comes arbitrarily close to that for a system of one or two electrons. The present notes arose from lectures that I gave in Berlin during the academic year 2008/09 to introduce beginning graduate students of mathematics into this subject. They are kept on an intermediate level that should be accessible to an audience of this kind as well as to physicists and theoretical chemists with a c- responding mathematical training.
Author : Yudell L. Luke
Publisher : Academic Press
ISBN 13 : 0080955606
Total Pages : 373 pages
Book Rating : 4.0/5 (89 download)
Download or read book The Special Functions and Their Approximations written by Yudell L. Luke and published by Academic Press. This book was released on 1969 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed and self-contained and unified treatment of many mathematical functions which arise in applied problems, as well as the attendant mathematical theory for their approximations. many common features of the Bessel functions, Legendre functions, incomplete gamma functions, confluent hypergeometric functions, as well as of otherw, can be derived. Hitherto, many of the material upon which the volumes are based has been available only in papers scattered throughout the literature.
Author : Harald Siegfried Friedrich
Publisher : Springer Science & Business Media
ISBN 13 : 3662037041
Total Pages : 426 pages
Book Rating : 4.6/5 (62 download)
Download or read book Theoretical Atomic Physics written by Harald Siegfried Friedrich and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition presents the recent developments in atomic physics. Beginning with a review of quantum mechanics, the book covers important areas of theoretical atomic physics, including semiclassical theory, periodic orbit theory, scaling properties for atoms in external fields, threshold behavior of ionization cross sections, and classical quantum dynamics of two-electron atoms.
Author : Yudell L. Luke
Publisher : Academic Press
ISBN 13 : 1483262456
Total Pages : 587 pages
Book Rating : 4.4/5 (832 download)
Download or read book Mathematical Functions and Their Approximations written by Yudell L. Luke and published by Academic Press. This book was released on 2014-05-10 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Functions and their Approximations is an updated version of the Applied Mathematics Series 55 Handbook based on the 1954 Conference on Mathematical Tables, held at Cambridge, Massachusetts. The aim of the conference is to determine the need for mathematical tables in view of the availability of high speed computing machinery. This work is composed of 14 chapters that cover the machinery for the expansion of the generalized hypergeometric function and other functions in infinite series of Jacobi and Chebyshev polynomials of the first kind. Numerical coefficients for Chebyshev expansions of the more common functions are tabulated. Other chapters contain polynomial and rational approximations for certain class of G-functions, the coefficients in the early polynomials of these rational approximations, and the Padé approximations for many of the elementary functions and the incomplete gamma functions. The remaining chapters describe the development of analytic approximations and expansions. This book will prove useful to mathematicians, advance mathematics students, and researchers.
Author :
Publisher :
ISBN 13 :
Total Pages : 516 pages
Book Rating : 4.:/5 (319 download)
Download or read book NASA Technical Note written by and published by . This book was released on 1970 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yudell L. Luke
Publisher : Academic Press
ISBN 13 : 0080955614
Total Pages : 509 pages
Book Rating : 4.0/5 (89 download)
Download or read book Special Functions and Their Approximations: v. 2 written by Yudell L. Luke and published by Academic Press. This book was released on 1969 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special Functions and Their Approximations: v. 2
Author : Krishan K. Sud
Publisher : Springer Science & Business Media
ISBN 13 : 1461542596
Total Pages : 426 pages
Book Rating : 4.4/5 (615 download)
Download or read book Trends in Atomic and Molecular Physics written by Krishan K. Sud and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary research in atomic and molecular physics concerns itself with studies of interactions of electron, positron, photons, and ions with atoms, molecules, and clusters; interactions of intense ultrashort laser interaction with atoms, molecules, and solids; laser assisted atomic collisions, optical, and magnetic traps of neutral atoms to produce ultracold and dense samples; high resolution atomic spectroscopy and experiments by using synchrotron radiation sources and ion storage rings. In recent years, important advances have been made in the experimental as well as theoretical understanding of atomic and molecular physics. The advances in atomic and molecu lar physics have helped us to understand many other fields, like astrophyics, atmo spheric physics, environmental science, laser physics, surface physics, computational physics, photonics, and electronics. XII National Conference on Atomic and Molecular Physics was held at the Physics Department, M. 1. S. University, Udaipur from 29th Dec. 1998 to 2ndJan. 1999 under the auspices of the Indian Society of Atomic and Molecular Physics. This volume is an outcome of the contributions from the invited speakers at the conference. The volume contains 24 articles contributed by the distinguished scientists in the field. The contrib utors have covered a wide range of topics in the field in which current research is being done. This also reflects the trend of research in this field in Indian universities and research institutes. We are grateful to the national programme committee, national, and local organiz ing committees, and members of the Physics Department and Computer Centre, M. 1.
Author : D Chattarji
Publisher : Elsevier
ISBN 13 : 0323158064
Total Pages : 278 pages
Book Rating : 4.3/5 (231 download)
Download or read book The Theory of Auger Transitions written by D Chattarji and published by Elsevier. This book was released on 2012-12-02 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Theory of Auger Transitions reviews the Auger effect theory, relating it to the broad spectrum of atomic and physical theory. This book discusses the Auger effect involving discrete and continuous states of the atomic system, which can be used as a good testing ground for fundamental atomic theory, such as the various atomic models and their concomitant wave functions. The application of Auger spectroscopy to surface chemical analysis is also elaborated. Other topics include the symmetry and invariance, theory of the Auger process, coulomb field and coulomb wave functions, and symmetry-breaking and classification of states. The central-field calculations, many-electron atom, advances in Auger theory, and Auger electron spectroscopy and its application to surface science are likewise covered in this text. This publication is intended for scientists and atomic physicists, but is also useful to theoreticians and graduate student specializing in atomic physics.
Author :
Publisher :
ISBN 13 :
Total Pages : 1118 pages
Book Rating : 4.3/5 (91 download)
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1976 with total page 1118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harald Friedrich
Publisher : Springer
ISBN 13 : 3662485265
Total Pages : 293 pages
Book Rating : 4.6/5 (624 download)
Download or read book Scattering Theory written by Harald Friedrich and published by Springer. This book was released on 2015-11-20 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This corrected and updated second edition of "Scattering Theory" presents a concise and modern coverage of the subject. In the present treatment, special attention is given to the role played by the long-range behaviour of the projectile-target interaction, and a theory is developed, which is well suited to describe near-threshold bound and continuum states in realistic binary systems such as diatomic molecules or molecular ions. It is motivated by the fact that experimental advances have shifted and broadened the scope of applications where concepts from scattering theory are used, e.g. to the field of ultracold atoms and molecules, which has been experiencing enormous growth in recent years, largely triggered by the successful realization of Bose-Einstein condensates of dilute atomic gases in 1995. The book contains sections on special topics such as near-threshold quantization, quantum reflection, Feshbach resonances and the quantum description of scattering in two dimensions. The level of abstraction is kept as low as at all possible and deeper questions related to the mathematical foundations of scattering theory are passed by. It should be understandable for anyone with a basic knowledge of nonrelativistic quantum mechanics. The book is intended for advanced students and researchers, and it is hoped that it will be useful for theorists and experimentalists alike.
Author : F.A. Gianturco
Publisher : Springer Science & Business Media
ISBN 13 : 3642465021
Total Pages : 288 pages
Book Rating : 4.6/5 (424 download)
Download or read book Wavefunctions and Mechanisms from Electron Scattering Processes written by F.A. Gianturco and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. Brouillard
Publisher : Springer Science & Business Media
ISBN 13 : 1461335450
Total Pages : 543 pages
Book Rating : 4.4/5 (613 download)
Download or read book Physics of Ion-Ion and Electron-Ion Collisions written by F. Brouillard and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of the earliest civilizations regarded the universe as organized around four principles, the four "elements" earth. water, air, and fire. Fire, which was the source of light and as such possessed an immaterial quality related to the spiritual world. was clearly the most impressive of these elements, although its quanti tative importance could not have been properly discerned. M- ern science has changed the names, but macroscopic matter is still divided into four states. The solid, liquid, and gaseous states are ordinary states, but the fourth state of matter, the plasma state, has retained a somewhat extraordinary character. It is now recognized that most of the matter of the universe is in the ionized state. but on the earth. the plasma state is still the exception. Hence the importance and also the difficulty of investigations dealing with ionized matter, which have been greatly furthered by the development of thermonuclear fusion research. The study of matter in the ionized state comprises a large diversity of problems belonging to many different branches of phys ics. A number of them relate to the microscopic properties of plasmas and concern the structure and the collisional behavior of atomic constituents. Although they are clearly of basic importance, their relevance to thermonuclear research was at first overlooked, at a time when most of the effort was concentrated on designing fusion devices and understanding macroscopic phenomena, mostly of an electromagnetic nature. At present.
Author : A. Deloff
Publisher : World Scientific
ISBN 13 : 9812383719
Total Pages : 370 pages
Book Rating : 4.8/5 (123 download)
Download or read book Fundamentals in Hadronic Atom Theory written by A. Deloff and published by World Scientific. This book was released on 2003 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hadronic atoms provide a unique laboratory for studying hadronic interactions essentially at threshold. This text is the first book-form exposition of hadronic atom theory with emphasis on recent developments, both theoretical and experimental. Since the underlying Hamiltonian is a non-self-adjoined operator, the theory goes beyond traditional quantum mechanics and this book covers topics that are often glossed over in standard texts on nuclear physics. The material contained here is intended for the advanced student and researcher in nuclear, atomic or elementary-particle physics. A good knowledge of quantum mechanics and familiarity with nuclear physics are presupposed.
Author : Igor I. Sobel'man
Publisher : Springer Science & Business Media
ISBN 13 : 364257825X
Total Pages : 320 pages
Book Rating : 4.6/5 (425 download)
Download or read book Excitation of Atoms and Broadening of Spectral Lines written by Igor I. Sobel'man and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of elementary processes and mechanisms, presenting useful and relatively simple methods of approximation for calculating the effective cross sections, giving a number of approximate formulas. Extensive tables list cross sections and rate coefficients for various atoms and elementary processes. For this second edition several sections and formulas have been substantially revised, the tables recalculated using the updated version of ATOM and recent progress in the field has been added.
Author : Frank W. J. Olver
Publisher : Cambridge University Press
ISBN 13 : 0521192250
Total Pages : 968 pages
Book Rating : 4.5/5 (211 download)
Download or read book NIST Handbook of Mathematical Functions Hardback and CD-ROM written by Frank W. J. Olver and published by Cambridge University Press. This book was released on 2010-05-17 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.
Author : Nicolas Michel
Publisher : Springer Nature
ISBN 13 : 3030693562
Total Pages : 514 pages
Book Rating : 4.0/5 (36 download)
Download or read book Gamow Shell Model written by Nicolas Michel and published by Springer Nature. This book was released on 2021-04-24 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first graduate-level, self-contained introduction to recent developments that lead to the formulation of the configuration-interaction approach for open quantum systems, the Gamow shell model, which provides a unitary description of quantum many-body system in different regimes of binding, and enables the unification in the description of nuclear structure and reactions. The Gamow shell model extends and generalizes the phenomenologically successful nuclear shell model to the domain of weakly-bound near-threshold states and resonances, offering a systematic tool to understand and categorize data on nuclear spectra, moments, collective excitations, particle and electromagnetic decays, clustering, elastic and inelastic scattering cross sections, and radiative capture cross sections of interest to astrophysics. The approach is of interest beyond nuclear physics and based on general properties of quasi-stationary solutions of the Schrödinger equation – so-called Gamow states. For the benefit of graduate students and newcomers to the field, the quantum-mechanical fundamentals are introduced in some detail. The text also provides a historical overview of how the field has evolved from the early days of the nuclear shell model to recent experimental developments, in both nuclear physics and related fields, supporting the unified description. The text contains many worked examples and several numerical codes are introduced to allow the reader to test different aspects of the continuum shell model discussed in the book.
