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This is the most complete handbook on the quantum theory of angular momentum. Containing basic definitions and theorems as well as relations, tables of formula and numerical tables which are essential for applications to many physical problems, the book is useful for specialists in nuclear and particle physics, atomic and molecular spectroscopy, plasma physics, collision and reaction theory, quantum chemistry, etc. The authors take pains to write many formulae in different coordinate systems thus providing users with added ease in consulting this book. Each chapter opens with a comprehensive list of its contents to ease the search for any information needed later. New results relating to different aspects of the angular momentum thoery are also included. Containing close to 500 pages this book also gathers together many useful formulae besides those related to angular momentum. The book also compares different notations used by previous authors.
String theory is a physical model whose fundamental building blocks are one-dimensional extended objects (strings) rather than the zero-dimensional points (particles) that were the basis of most earlier physics. For this reason, string theories are able to avoid problems associated with the presence of point-like particles in a physical theory. Detailed study of string theories has revealed that they describe not just strings but other objects, variously including points, membranes, and higher-dimensional objects. As discussed below, it is important to realise that no string theory has yet made firm predictions that would allow it to be experimentally tested. Jessica Magoto created the funda...
Time and matter are the most fundamental concepts in physics and in any science-based description of the world around us. Quantum theory has, however, revealed many novel insights into these concepts in non-relativistic, relativistic and cosmological contexts. The implications of these novel perspectives have been realized and, in particular, probed experimentally only recently. In the papers in this proceedings, these issues are discussed in a truly interdisciplinary fashion from philosophical and historical perspectives. The leading contributors, including Nobel laureates T W Hnnsch and G t'' Hooft, address both experimental and theoretical issues. Sample Chapter(s). Chapter 1: The Measurement to Time with Atomic Clocks (742 KB). Contents: Measuring Time; Causality and Signal Propagation; Coherence and Decoherence; CP and T Violation; Macroscopic Time Reversal and the Arrow of Time; New Paradigms. Readership: Physicists, philosophers and historians of science, graduate students of physics."
The conformal group is the invariance group of geometry (which is not understood), the largest one. Physical applications are implied, as discussed, including reasons for interactions. The group structure as well as those of related groups are analyzed. An inhomogeneous group is a subgroup of a homogeneous one because of nonlinearities of the realization. Conservation of baryons (protons can't decay) is explained and proven. Reasons for various realizations, so matrix elements, of the Lorentz group given. The clearly relevant mass level formula is compared with experimental values. Questions, implications and possibilities, including for differential equations, are raised.
The question of a possible temporal variation of the fundamental constants was raised by Paul Dirac in his "large number hypothesis" in 1937. Today it appears in the context of the search for a unified theory of the fundamental interactions. It touches both fundamental and applied physics, as the postulate of the unalterability of the constants is the foundation for modern metrology. The book presents reviews written by leading experts in the field. Focussing on the question of variations of the fundamental "constants" in time or space, the chapters cover the theoretical framework in which variations are expected and the search for variations of quantities like the fine-structure constant, the electron/proton mass ratio, g-factors of proton and neutron etc. in astrophysical and geophysical observations and in precision experiments with atomic clocks and frequency standards.
Cosmology deals with the current state of thinking about the basic questions at the center of the field of cosmology. More emphasis than usual is put on the connections to related domains of science, such as geometry, relativity, thermodynamics, particle physics, and - in particular - on the intrinsic connections between the different topics. The chapters are illustrated with many figures that are as exact as currently possible, e.g. in the case of geometry and relativity. Readers acquire a graduate-level knowledge of cosmology as it is required to understand the cosmological impact of their particular research topics, as well as an introduction into the current research in the field.
M. KITAMURA Tokyo Astronomical Observatory, Japan and E. BUDDING Carter Observatory, Wellington, New Zealand The Third Asian-Pacific Regional Meeting of the International Astronomical Union was held from 30 September to 5 October, 1984, at the Kyoto International Conference Hall, Kyoto, Japan, under the auspices of the Union and the Astronomical Society of Japan with Kyoto University as host. Three hundred and twenty-seven astronomers from twenty-two countries participated at the meeting and more than two hundred papers were presented. The aim of the meeting was not only to promote scientific developments and cooperation, but also to offer a chance for all participants to become acquainted w...
Written by internationally renowned mathematicians, this state-of-the-art textbook examines four research directions in harmonic analysis and features some of the latest applications in the field. The work is the first one that combines spline theory, wavelets, frames, and time-frequency methods leading up to a construction of wavelets on manifolds other than Rn. Four Short Courses on Harmonic Analysis is intended as a graduate-level textbook for courses or seminars on harmonic analysis and its applications. The work is also an excellent reference or self-study guide for researchers and practitioners with diverse mathematical backgrounds working in different fields such as pure and applied mathematics, image and signal processing engineering, mathematical physics, and communication theory.
Progress in Optics, Volume 69 is the latest release in a yearly publication that provides in-depth reviews on topics in experimental theoretical optics, as well as on optical engineering. The book's intended audience are researchers and graduate students. Chapters in this new release include Radiative Transport in Rotated Reference Frames, Consistent scalar imaging theory, Single photon detection with superconducting detectors and their applications, Phased-array lidar, Pearcey beams and autofocusing waves, Meta-surfaces, and Holographic metasurfaces. - Provides state-of-the-art reviews written by experts - Covers all aspects of optics - Keeps researchers abreast of new developments in the field