On Realizations of Lie Algebras and Symmetries in Classical and Quantum Mechanics (II)
Author: Joe Rosen
Publisher:
Published: 1966
Total Pages: 12
ISBN-13:
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Author: Joe Rosen
Publisher:
Published: 1966
Total Pages: 12
ISBN-13:
DOWNLOAD EBOOKAuthor: Niky Kamran
Publisher: American Mathematical Soc.
Published: 1994
Total Pages: 322
ISBN-13: 0821851691
DOWNLOAD EBOOKThis volume, which contains a good balance of research and survey papers, presents at look at some of the current development in this extraordinarily rich and vibrant area.
Author: Robert Hermann
Publisher:
Published: 1970
Total Pages: 340
ISBN-13:
DOWNLOAD EBOOKAuthor: Peter Woit
Publisher: Springer
Published: 2017-11-01
Total Pages: 659
ISBN-13: 3319646125
DOWNLOAD EBOOKThis text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the reader's understanding of and facility in quantum-theoretical concepts and calculations.
Author: Jürgen Fuchs
Publisher: Cambridge University Press
Published: 2003-10-07
Total Pages: 464
ISBN-13: 9780521541190
DOWNLOAD EBOOKThis book gives an introduction to Lie algebras and their representations. Lie algebras have many applications in mathematics and physics, and any physicist or applied mathematician must nowadays be well acquainted with them.
Author: Olimpia Lombardi
Publisher: Cambridge University Press
Published: 2019-04-11
Total Pages: 411
ISBN-13: 1108473474
DOWNLOAD EBOOKOffers a comprehensive and up-to-date volume on the conceptual and philosophical problems related to the interpretation of quantum mechanics.
Author: Francesco Iachello
Publisher: Springer
Published: 2007-02-22
Total Pages: 208
ISBN-13: 3540362398
DOWNLOAD EBOOKThis book, designed for advanced graduate students and post-graduate researchers, introduces Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. The book contains many examples that help to elucidate the abstract algebraic definitions. It provides a summary of many formulas of practical interest, such as the eigenvalues of Casimir operators and the dimensions of the representations of all classical Lie algebras.
Author: Ernest M. Loebl
Publisher: Academic Press
Published: 2014-05-10
Total Pages: 327
ISBN-13: 1483263789
DOWNLOAD EBOOKGroup Theory and its Applications, Volume II covers the two broad areas of applications of group theory, namely, all atomic and molecular phenomena, as well as all aspects of nuclear structure and elementary particle theory. This volume contains five chapters and begins with the representation and tensor operators of the unitary groups. The next chapter describes wave equations, both Schrödinger’s and Dirac’s for a wide variety of potentials. These topics are followed by discussions of the applications of dynamical groups in dealing with bound-state problems of atomic and molecular physics. A chapter explores the connection between the physical constants of motion and the unitary group of the Hamiltonian, the symmetry adaptation with respect to arbitrary finite groups, and the Dixon method for computing irreducible characters without the occurrence of numerical errors. The last chapter deals with the study of the extension, representation, and applications of Galilei group. This book will prove useful to mathematicians, practicing engineers, and physicists.
Author:
Publisher:
Published: 1976
Total Pages: 964
ISBN-13:
DOWNLOAD EBOOKAuthor: Alexander A. Kirillov
Publisher: Cambridge University Press
Published: 2008-07-31
Total Pages: 237
ISBN-13: 0521889693
DOWNLOAD EBOOKThis book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.