Download or read book Helicity Representations of the Coordinate Momentum and Angular Momentum Operators written by Harry E. Moses and published by . This book was released on 1970 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report presents certain new mathematical techniques useful in the analysis of upper atmospheric chemical processes. Non-relativistic systems of particles always have among their dynamical variables the operators Xi(i = 1, 2, 3) which characterize the position of the center of mass, the operators Pi which characterize the total momentum of the system, and the angular momentum operators Ji. In the present paper all te operators were found which satisfy the quantum mechanical commutation relations. Various bases are discussed and representations of these operators are given in these bases. Applications to scattering theory are discussed. (Author).
Download or read book Helicity Representations of the Coordinate Momentum and Angular Momentum Operators written by Harry E. Moses and published by . This book was released on 1970 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Angular Momentum in Quantum Mechanics written by A. R. Edmonds and published by Princeton University Press. This book was released on 2016-08-10 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a concise introduction to the angular momentum, one of the most fundamental quantities in all of quantum mechanics. Beginning with the quantization of angular momentum, spin angular momentum, and the orbital angular momentum, the author goes on to discuss the Clebsch-Gordan coefficients for a two-component system. After developing the necessary mathematics, specifically spherical tensors and tensor operators, the author then investigates the 3-j, 6-j, and 9-j symbols. Throughout, the author provides practical applications to atomic, molecular, and nuclear physics. These include partial-wave expansions, the emission and absorption of particles, the proton and electron quadrupole moment, matrix element calculation in practice, and the properties of the symmetrical top molecule.
Download or read book Notes on the Quantum Theory of Angular Momentum written by Eugene Feenberg and published by Courier Corporation. This book was released on 2013-01-23 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Informative review considers development of fundamental commutation relations for angular momentum components and vector operators. Additional topics include computation and application of matrix elements of scalar, vector, and tensor operators.
Download or read book Angular Momentum Techniques in Quantum Mechanics written by V. Devanathan and published by Springer Science & Business Media. This book was released on 2005-12-17 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: A course in angular momentum techniques is essential for quantitative study of problems in atomic physics, molecular physics, nuclear physics and solid state physics. This book has grown out of such a course given to the students of the M. Sc. and M. Phil. degree courses at the University of Madras. An elementary knowledge of quantum mechanics is an essential pre-requisite to undertake this course but no knowledge of group theory is assumed on the part of the readers. Although the subject matter has group-theoretic origin, special efforts have been made to avoid the gro- theoretical language but place emphasis on the algebraic formalism dev- oped by Racah (1942a, 1942b, 1943, 1951). How far I am successful in this project is left to the discerning reader to judge. After the publication of the two classic books, one by Rose and the other by Edmonds on this subject in the year 1957, the application of angular momentum techniques to solve physical problems has become so common that it is found desirable to organize a separate course on this subject to the students of physics. It is to cater to the needs of such students and research workers that this book is written. A large number of questions and problems given at the end of each chapter will enable the reader to have a clearer understanding of the subject.
Download or read book Elementary Theory of Angular Momentum written by Morris Edgar Rose and published by Courier Corporation. This book was released on 1995-01-01 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: High-level treatment offers clear discussion of general theory and applications, including basic principles, coupling coefficients for vector addition, coupling schemes in nuclear reactions, and more. 1957 edition.
Download or read book Angular Momentum in Quantum Physics written by L. C. Biedenharn and published by Westview Press. This book was released on 1981 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantum Theory Of Angular Momemtum written by V K Khersonskii and published by World Scientific. This book was released on 1988-10-01 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Massless Representations of the Poincar Group written by R. Mirman and published by iUniverse. This book was released on 2005-05 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface 1 The Physical Meaning of Poincare Massless Representations 1 2 Massless Representations 12 3 Massless Fields are Different 32 4 How to Couple Massless and Massive Matter 56 5 The Behavior of Matter in Fields 73 6 Geometrical Reasons for the Poincare Group 95 7 Description of the Electromagnetic Field 123 8 The Equations Governing Free Gravitation 135 9 How Matter Determines Gravitational Fields 150 10 Nonlinearity and Geometry 165 11 Quantum Gravity 183 References 201 Index 207.
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1973 with total page 1142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1970 with total page 1338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lightcone Qcd And Nonperturbative Hadron Physics Conf written by Andreas W Schreiber and published by World Scientific. This book was released on 2000-10-25 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 'Workshop on Lightcone QCD and Nonperturbative Hadron Physics', held in Adelaide, Australia, in December 1999. The contributions include papers on vacuum structure and zero modes, DLCQ, deep inelastic scattering, lightcone wavefunctions and hadron structure, hadron phenomenology, as well as numerical results from the lattice for both quenched and unquenched QCD.
Download or read book Nuclear Power Reactor Instrumentation Systems Handbook written by Joseph M. Harrer and published by . This book was released on 1973 with total page 1052 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Quantum Theory of Radiation written by E. R. Pike and published by Clarendon Press. This book was released on 1995-12-07 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is unique in covering phenomena in photon- matter interactions in a unified way over a range of many orders in energy. The quantum field theoretic approach to the fully relativistic theory of quantum electrodynamics (QED) is presented together with the non- relativistic theory in both confined and unconfined geometries. The predictions of QED have been verified to a greater accuracy than any other physical theory. Moreover QED is a paradigm for other gauge theories and is presented in such a way that the generalisation to other gauge theories is natural. Gauge and Poincare symmetry properties and the non-existence of a photon wave function are thoroughly discussed. Starting from the Dirac equation the non-relativistic interaction of the electron with the electromagnetic field is derived as an effective Hamiltonian of multipole expansions. Much of quantum optics is based on the lowest order dipole approximation. From this point on the treatment of fully relativistic QED and quantum optics is done in parallel. Applications of perturbation theory such as Compton and Moller scattering and the theory photdetection are given. After the impressive successes of QED, the limitation of the theory and the necessity of electroweak theory and quantumchromodynamics are discussed. The remaining chapters are devoted to quantum optics inside cavaties. Various approaches to open systems such as master equations are discussed within the context of active systems (e.g. the laser) and passive systems. Semi- classical approximarions are shown to imply a rich non- linear dynamics including chaos for certain parameter regimes. The effect of fluctuations on such non-linear dynamics is also studied. The final chapter is devoted to highly non- classical states of the light field such as photon number, squeezed and two photon entangled states. The latter are studied for the important system of parametric down conversion and the localisation properties of photons are characterised in terms of asympotic tails in photodetection probabilities as a function of time delay. The range of the book has wider benefits. Workers in quantum optics will gain a deeper understanding of the foundations of their subject and field theorists will see concrete examples of open systems, which are beginning to impinge on fundamental theories.
Download or read book U S Government Research Development Reports written by and published by . This book was released on 1970 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Eigenfunctions of the Curl Operator Rotationally Invariant Helmholtz Theorem and Applications to Electromagnetic Theory and Fluid Dynamics written by H. E. Moses and published by . This book was released on 1970 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Air Force Requirements, such as the knowledge of the upper atmosphere environment of vehicles and the knowledge of the propagation characteristics of radio and radar signals, require the solutions of the equations of motion of fluid dynamics and of electromagnetic theory which are often very complicated. This report presents a new mathematical approach to the obtaining of such solutions. The vector field is represented in such a form that new techniques may be used to find the appropriate solutions. Some problems of fluid dynamics and electromagnetic theory are solved as an illustration of the new approach. In this report, eigenfunctions of the curl operator are introduced. The expansion of vector fields in terms of these eigenfunctions leads to a decomposition of such fields into three modes, one of which corresponds to an irrotational vector field, and two of which correspond to rotational circularly polarized vector fields of opposite signs of polarization. Under a rotation of coordinates, the three modes which are introduced in this fashion remain invariant. Hence the Helmholtz decomposition of vector fields has been introduced in an irreducible, rotationally invariant form. These expansions enable one to handle the curl and divergence operators simply. As illustrations of the use of the curl eigenfunctions, four problems are solved.
