The Vector Coherent State Method And Its Application To Problems Of Higher Symmetries
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| Author | : Karl Theodor Hecht |
| Publisher | : Springer |
| Total Pages | : 168 |
| Release | : 1987 |
| Genre | : Science |
| ISBN | : |
These lectures review the recently developed vector coherent state method. The book is an excellent introduction to the field because of the many examples treated in detail, in particular those from nuclear and particle physics. These calculations will be welcomed by researchers and graduate students. The author reviews the concepts of coherent states of the Heisenberg algebra and shows then that the vector coherent state method maps the higher symmetry algebra into an n-dimensional harmonic oscillator algebra coupled with a simple intrinsic symmetry algebra. The formulation involves some vector (or analogous higher symmetry) coupling of the intrinsic algebra with the n-dimensional oscillator algebra, leading to matrix representations and Wigner coefficients of the higher symmetry algebra expressed in terms of simple calculable functions and recoupling coefficients for the simpler intrinsic algebra.
| Author | : Karl T. Hecht |
| Publisher | : Springer |
| Total Pages | : 154 |
| Release | : 2013-11-20 |
| Genre | : Science |
| ISBN | : 9783662136331 |
These lectures review the recently developed vector coherent state method. The book is an excellent introduction to the field because of the many examples treated in detail, in particular those from nuclear and particle physics. These calculations will be welcomed by researchers and graduate students. The author reviews the concepts of coherent states of the Heisenberg algebra and shows then that the vector coherent state method maps the higher symmetry algebra into an n-dimensional harmonic oscillator algebra coupled with a simple intrinsic symmetry algebra. The formulation involves some vector (or analogous higher symmetry) coupling of the intrinsic algebra with the n-dimensional oscillator algebra, leading to matrix representations and Wigner coefficients of the higher symmetry algebra expressed in terms of simple calculable functions and recoupling coefficients for the simpler intrinsic algebra.
| Author | : Karl Theodor Hecht (Nuclear physicist, United States) |
| Publisher | : |
| Total Pages | : 154 |
| Release | : 1987 |
| Genre | : |
| ISBN | : |
| Author | : Samuel H. Gruber |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 749 |
| Release | : 2013-11-11 |
| Genre | : Science |
| ISBN | : 1489912193 |
The Symposium ·Symmetries in Science VI: From the Rotation Group to Quantum Algebras· was held at the Cloister Mehrerau, Bregenz, Austria, during the period August 2-7, 1992. The Symposium was held in honor of Professor Lawrence C. Biedenharn on the occasion of his 70th birthday. During the academic year 1966/67 I worked as research associate with Larry at Duke University and we have ever since maintained close contact. It was thus natural for me to take the initiative and to organize this Symposium in honor of Larry as a great scientist and friend. The response which the Symposium received showed the favorable reaction by the scientific community to the opportunity provided by the Symposium to honor our colleague, teacher and friend. Equally, the scientific contributions contained in this volume illustrate the high esteem in which he is held. I wish to thank all the scientists who participated in the Symposium and who contributed to this volume. It is due to their commitment that the Symposium was successful. Finally I need to thank those who provided financial and logistical assistance to the Symposium: Dr. John H. Guyon, President of Southern Illinois University at Carbondale, Dr. Russell R. Dutcher, Dean, College of Science at SIUC, Dr. Maurice A. Wright, Chairman, Department of Physics, SIUC, Dr. Victoria J. Molfese, Office of Research Developement and Administration, SIUC, as well as Dr. Martin Purtscher, Landeshauptmann, Land Vorarlberg Dr. Guntram Lins, Landesrat, Land Vorarlberg.
| Author | : |
| Publisher | : World Scientific |
| Total Pages | : 564 |
| Release | : |
| Genre | : |
| ISBN | : 9813104252 |
| Author | : Bruno Gruber |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 604 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1461536960 |
Proceedings of a symposium held in Landesbildungszentrum Schloss Hofen, Lochau, Vorarlberg, Austria, July 30-August 3, 1990
| Author | : Bruno Gruber |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 602 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1461307872 |
Nicely printed and bound proceedings of a major symposium contain 29 reviews of highly diverse developments in the world of symmetry, plus 14 rather briefer research papers. The variety of the topics treated and the authority of the contributors suggest that most physical theorists will find here so
| Author | : Alejandro Frank |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 415 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3642772846 |
This volume gives a borad overview on symmetry methods ypplied to molecular and nuclear physics, to particle physics, decay processes, and phase space dynamics. The thoroughly edited contributions should be of interest not only to scientists but also to thos that want to see how symmetry considerations are put to work in twentieth century physics.
| Author | : Bruno Gruber |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 454 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461519152 |
Thf3 symposium "Symmetries in Science VIII" was held in August of 1994 at the Cloister Mehrerau in Bregenz, Austria. The symposium was supported by Southern Illinois University at Carbondale, the Land Vorarlberg, and the Landeshaupstaot Bregenz. I wish to thank Dr. John C. Guyon, President of Southern Illinois University at Carbondale; Dr. Hubert Regner, Amt der Vorarlberger Landesregierung; and Dipl. Vw. Siegfried Gasser, Buergermeister der Landeshauptstadt Bregenz and Lantagsabgeordneter, for their generous support of the symposium. Finally I wish to thank Frater Albin of the Cloister Mehrerau for his support and cooperation in this endeavor, which made for a successful meeting in a most pleasant environment. Bruno Gruber v CONTENTS On Om x Gin Highest Weight Vectors Helmer Aslaksen, Eng-Chye Tan, and Chen-bo Zhu ... . Invariant Theory of Matrices Helmer Aslaksen, Eng-Chye Tan, and Chen-bo Zhu ... . 1 3 Symmetries of Elementary Particles Revisited A.O. Barut ... ... ... 21 Perturbative SU(1,1) Haluk Seker ... . ..., . ... 25 A Dual Structure for the Quantal Rotation Group, SU(2) L.C. Biedenharn and M.A. Lohe ..., . ... ... 37 Some Points in the Quantization of Relativistic Grassmann Dependent Interaction Systems A. Del Sol Mesa and R, P. Martinez y Romero ..., . ... 49 for Uq(sl(4)) and q-Conformal q-Difference Intertwining Operators I nvariant Equations V.K. Dobrev ... ... ... 55 A Quantum Mechanical Evolution Equation for Mixed States from Symmetry and Kinematics H.-D. Doebner and J.D. Hennig ... ... 85 vii Quantum Mechanical Motions over the Group Manifolds and Related Potentials I.H. Duru -. ... ... ...
| Author | : John R Klauder |
| Publisher | : World Scientific |
| Total Pages | : 600 |
| Release | : 1994-05-26 |
| Genre | : |
| ISBN | : 9814602515 |
The book consists of lectures delivered at the International Symposium on Coherent States: Past, Present, and Future, held in Oak Ridge, Tennessee, June 14 - 17 1993. Both theoretical and experimental subjects are treated. Theoretical subjects dealt with include quantum optics, quantum chaos, condensed matter physics, nuclear physics, high energy physics and foundational issues such as quantum-classical connections and various semiclassical quantization schemes. Experimental topics dealt with principally concern atomic and molecular physics and especially lasers. Topics related to coherent states, most notably wavelets, are also included.
