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Author: Brian R. Judd
Publisher: Princeton University Press
ISBN: 1400864771
Category : Mathematics
Languages : en
Pages : 255
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Book Description
In the 1920s, when quantum mechanics was in its infancy, chemists and solid state physicists had little choice but to manipulate unwieldy equations to determine the properties of even the simplest molecules. When mathematicians turned their attention to the equations of quantum mechanics, they discovered that these could be expressed in terms of group theory, and from group theory it was a short step to operator methods. This important development lay largely dormant until this book was originally published in 1963. In this pathbreaking publication, Brian Judd made the operator techniques of mathematicians comprehensible to physicists and chemists. He extended the existing methods so that they could handle heavier, more complex molecules and calculate their energy levels, and from there, it was another short step to the mathematical analysis of spectra. This book provides a first-class introduction to continuous groups for physicists and chemists. Although first written from the perspective of atomic spectroscopy, its major topics and methods will appeal to anyone who has an interest in understanding particle theories of nuclear physics. Originally published in 1998. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author: Brian R. Judd
Publisher: Princeton University Press
ISBN: 1400864771
Category : Mathematics
Languages : en
Pages : 255
Get Book
Book Description
In the 1920s, when quantum mechanics was in its infancy, chemists and solid state physicists had little choice but to manipulate unwieldy equations to determine the properties of even the simplest molecules. When mathematicians turned their attention to the equations of quantum mechanics, they discovered that these could be expressed in terms of group theory, and from group theory it was a short step to operator methods. This important development lay largely dormant until this book was originally published in 1963. In this pathbreaking publication, Brian Judd made the operator techniques of mathematicians comprehensible to physicists and chemists. He extended the existing methods so that they could handle heavier, more complex molecules and calculate their energy levels, and from there, it was another short step to the mathematical analysis of spectra. This book provides a first-class introduction to continuous groups for physicists and chemists. Although first written from the perspective of atomic spectroscopy, its major topics and methods will appeal to anyone who has an interest in understanding particle theories of nuclear physics. Originally published in 1998. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author:
Publisher: Academic Press
ISBN: 9780080859934
Category : Science
Languages : en
Pages : 365
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Book Description
This volume attempts to cover the entire subject of spectroscopy from pair production in the gamma-ray region to dielectric loss in the low radio-frequency region. Defining spectroscopy as the study of the emission and absorption of electromagnetic radiation by matter, this book presents a general theory that is applicable throughout the entire range of the electromagnetic spectrum and show how the theory can be applied in gaining knowledge of the structure of matter from experimental measurements in all spectral regions. The book is intended for graduate students interested in acquiring a general knowledge of spectroscopy, for spectroscopists interested in acquiring knowledge of spectroscopy outside the range of their own specialties, and for other physicists and chemists who may be curious as to “what those spectroscopists have been up to and as to what spectroscopists find so interesting about their own work.
Author: James W. Robinson
Publisher: CRC Press
ISBN: 9780824797423
Category : Science
Languages : en
Pages : 404
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Book Description
"Provides a thorough, up-to-date survey of techniques for elemental analysis--including atomic absorption spectroscopy, atomic fluorescence, flame photometry, emission spectroscopy, and plasma emission. Second Edition includes expanded material on interfaced plasma-mass spectrometry (ICP-MS), diode arrays, and other emerging spectroscopic fields."
Author: Guokui Liu
Publisher: Springer Science & Business Media
ISBN: 9783540238867
Category : Science
Languages : en
Pages : 576
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Book Description
Aimed at researchers and graduate students, this book provides up-to-date information for understanding electronic interactions that impact the optical properties of rare earth ions in solids. Its goal is to establish a connection between fundamental principles and the materials properties of rare-earth activated luminescent and laser optical materials. The theoretical survey and introduction to spectroscopic properties include electronic energy level structure, intensities of optical transitions, ion-phonon interactions, line broadening, and energy transfer and up-conversion. An important aspect of the book lies in its deep and detailed discussions on materials properties and the potential of new applications such as optical storage, information processing, nanophotonics, and molecular probes that have been identified in recent experimental studies. This volume will be a valuable reference book on advanced topics of rare earth spectroscopy and materials science.
Author: J. A. Tuszynski
Publisher: World Scientific
ISBN: 9789810202835
Category : Science
Languages : en
Pages : 340
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Book Description
This book contains introductory comments concerning the definitions, the symmetry properties and the basic formulae for matrix elements of tensor operators. The main body of text consists of tables of reduced matrix elements of double tensor operators within pn, dn and fn configurations, i.e. all the principal pure configurations of the atomic and nuclear structure. These tables are complete which means that the author has run through all the states of the following configurations: p2, p3, d2, d3, d4, d5, f2, f3, f4, f5, f6, f7 for multiparticle systems with central symmetry.Double tensor operators w1k2 have been chosen in these calculations, for a number of reasons. First of all, they are the most general type of spherical tensor operators and, since they are normalized, they are the most convenient to use. Secondly, they have been very frequently used in many areas of physics, most notably in nuclear, atomic, molecular and solid state physics. There are also tabulated conversion factors to enable the use of these tables for other types of definitions of tensor operators.
Author: J A Tuszynski
Publisher: World Scientific
ISBN: 9814506818
Category :
Languages : en
Pages : 332
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Book Description
This book contains introductory comments concerning the definitions, the symmetry properties and the basic formulae for matrix elements of tensor operators. The main body of text consists of tables of reduced matrix elements of double tensor operators within pn,dn and fn configurations, i.e. all the principal pure configurations of the atomic and nuclear structure. These tables are complete which means that the author has run through all the states of the following configurations: p2, p3, d2, d3, d4, d5, f2, f3, f4, f5, f6, f7 for multiparticle systems with central symmetry. Double tensor operators wk1k2 have been chosen in these calculations, for a number of reasons. First of all, they are the most general type of spherical tensor operators and, since they are normalized, they are the most convenient to use. Secondly, they have been very frequently used in many areas of physics, most notably in nuclear, atomic, molecular and solid state physics. There are also tabulated conversion factors to enable the use of these tables for other types of definitions of tensor operators. Contents: IntroductionTablesReferencesTables of Reduced Matrix Elements Readership: Atomic and mathematical physicists. Keywords:Tensor Operators;Reduced Matrix Elements
Author: Jacques Bauche
Publisher: Springer
ISBN: 3319181475
Category : Science
Languages : en
Pages : 379
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Book Description
This book is devoted to the calculation of hot-plasma properties which generally requires a huge number of atomic data. It is the first book that combines information on the details of the basic atomic physics and its application to atomic spectroscopy with the use of the relevant statistical approaches. Information like energy levels, radiative rates, collisional and radiative cross-sections, etc., must be included in equilibrium or non-equilibrium models in order to describe both the atomic-population kinetics and the radiative properties. From the very large number of levels and transitions involved in complex ions, some statistical (global) properties emerge. The book presents a coherent set of concepts and compact formulas suitable for tractable and accurate calculations. The topics addressed are: radiative emission and absorption, and a dozen of other collisional and radiative processes; transition arrays between level ensembles (configurations, superconfigurations); effective temperatures of configurations, superconfigurations, and ions; charge-state distributions; radiative power losses and opacity. There are many numerical examples and comparisons with experiment presented throughout the book. The plasma properties described in this book are especially relevant to large nuclear fusion facilities such as the NIF (California) and the ITER (France), and to astrophysics. Methods relevant to the central-field configurational model are described in detail in the appendices: tensor-operator techniques, second-quantization formalism, statistical distribution moments, and the algebra of partition functions. Some extra tools are propensity laws, correlations, and fractals. These methods are applied to the analytical derivation of many properties, specially the global ones, through which the complexity is much reduced. The book is intended for graduate-level students, and for physicists working in the field.
Author: Stephen Wilson
Publisher: Springer Science & Business Media
ISBN: 1461307112
Category : Science
Languages : en
Pages : 302
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Book Description
Thisvolume isdevotedtomethodsfor thestudyoftheeffectsofrelativity on theelectronicstructure ofatomsand molecules. The accurate descrip tionofrelativisticeffectsinheavyatomshaslongbeenrecognizedasoneof the central problems ofatomic physics. Contemporary relativistic atomic structure calculations can be performed almost routinely. Recent years have seen agrowinginterestin thestudyoftheeffects ofrelativityon the structureofmolecules. Even for molecularsystemscontainingatoms from thesecondrowoftheperiodictable theenergyassociatedwith relativistic effects is often larger than that arising from electron correlation. For moleculescontainingheavieratoms relativistic effects become increasingly important, andforsystemscontainingveryheavyatomsrelativityisknown todominatemanychemicalproperties. In this volum, one of the pioneers of relativistic atomic structure calculations, Ian P. Grant, providesadetailedsurveyofthecomputational techniquesemployedincontemporarystudiesoftheeffectsofrelativityon atomicstructure. Thisisanareaofresearchinwhichcalculationscanoften lead to a particularly impressive degreeofagreement between theoryand experiment. Furthermore, theseatomicstudies haveprovided manyofthe foundations of a fully relativistic quantum chemistry. However, the spherical symmetry ofatoms allows significantsimplificationsto bemade in their quantum mechanical treatment, simplifications which are not possibleinstudiesofmolecules. Inparticular, as is wellknown from non relativistictheoriesofmolecularelectronicstructure, itisalmostobligatory to invoke the algebraic approximation in molecular work and use finite basis set expansions. The problem of describing relativistic effects in molecules is addressed in Chapter2 by Stephen Wilson. This chapter is devotedtoab initiorelativisticmolecularstructurecalculationsinwhichall electrons are explicitly considered. The problem of induding relativistic effects in molecular studies is also addressed in Chapters3 and 4. In Chapter 3, Odd Gropen describes the use of relativistic effective core ix x Preface potentials in calculations on molecular systems involving heavy atoms. This approach can lead to more tractable algorithms than the methods described in Chapter2 and thus significantly extends the range of applications. The use of semiempirical methods has yielded a wealth of informationabouttheinfluenceofrelativityonthechemistryoftheheavier elements. Thisimportantarea is reviewed inChapter4 by Pekka Pyykk6. Finally, inChapter5, Harry M."
Author: William M. Yen
Publisher: Springer Science & Business Media
ISBN: 3540459391
Category : Science
Languages : en
Pages : 319
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Book Description
Laser-based optical spectroscopies are powerful and versatile techniques that are continuing to evolve and find new applications. This book presents reviews of recent progress in our understanding of the spectra and dynamical processes of optically excited states of condensed matter, focusing on the advances made possible by the application of laser-based optical spectroscopies. Reviews are given of the optical properties of crystalline and amorphous semiconducting materials and structures, the properties of defect centers in insulators, two-photon nonlinear processes in insulators, optical energy diffusion in inorganic materials, and relaxation in organic materials. The individual chapters emphasize the methodology common to the various investigations. The volume is designed to be suitable as an introduction to applied laser spectroscopy of solids, as well as providing an update on the status of the field.
Author: Robert D. Cowan
Publisher: Univ of California Press
ISBN: 0520906152
Category : Science
Languages : en
Pages : 752
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Book Description
Both the interpretation of atomic spectra and the application of atomic spectroscopy to current problems in astrophysics, laser physics, and thermonuclear plasmas require a thorough knowledge of the Slater-Condon theory of atomic structure and spectra. This book gathers together aspects of the theory that are widely scattered in the literature and augments them to produce a coherent set of closed-form equations suitable both for computer calculations on cases of arbitrary complexity and for hand calculations for very simple cases.
