Free Delivery Over $100
|
|
|||
|
||||
OverviewWhenever systems are governed by continuous chains of causes and effects, their behavior exhibits the consequences of dynamical symmetries, many of them far from obvious. Dynamical Symmetry introduces the reader to Sophus Lie's discoveries of the connections between differential equations and continuous groups that underlie this observation. It develops and applies the mathematical relations between dynamics and geometry that result. Systematic methods for uncovering dynamical symmetries are described, and put to use. Much material in the book is new and some has only recently appeared in research journals.Though Lie groups play a key role in elementary particle physics, their connection with differential equations is more often exploited in applied mathematics and engineering. Dynamical Symmetry bridges this gap in a novel manner designed to help readers establish new connections in their own areas of interest. Emphasis is placed on applications to physics and chemistry. Applications to many of the other sciences illustrate both general principles and the ubiquitousness of dynamical symmetries. Full Product DetailsAuthor: Carl E Wulfman (Univ Of The Pacific, Usa)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd Dimensions: Width: 15.20cm , Height: 3.00cm , Length: 23.10cm Weight: 0.816kg ISBN: 9789814291361ISBN 10: 9814291366 Pages: 460 Publication Date: 16 December 2010 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsPhysical Symmetry and Geometrical Symmetry; On Symmetries Associated With Hamiltonian Dynamics; One-Parameter Transformation Groups; Everywhere Local Invariance; Lie Transformation Groups and Lie Algebras; Dynamical Symmetry in Hamiltonian Mechanics. Symmetry in Phase Space; Symmetries of Classical Kepler Motion; Dynamical Symmetry in Schrodinger Quantum Mechanics; Spectrum Generating Groups; Dynamical Symmetry of Regularized Hydrogen-Like Atoms; Approximate Atomic and Molecular Calculations; Rovibronic Systems; Symmetry of Maxwell's Equations.ReviewsThis text provides a classical context, as well as the more usual quantum one, for the subject of dynamical symmetry and is realistically aimed at first-year graduate students in physics or chemistry who may wish to pursue research in this still-important area. -- Contemporary Physics Contemporary Physics ... the way the book has been written ensures that most of the material can be readily understood with a modest mathematical background. -- Mathematical Reviews Mathematical Reviews Author InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
