Author: Joe Rosen
Publisher:
ISBN:
Category : Lie algebras
Languages : en
Pages : 12
Book Description
On Realizations of Lie Algebras and Symmetries in Classical and Quantum Mechanics (II)
Author: Joe Rosen
Publisher:
ISBN:
Category : Lie algebras
Languages : en
Pages : 12
Book Description
Publisher:
ISBN:
Category : Lie algebras
Languages : en
Pages : 12
Book Description
Lie Algebras, Cohomology, and New Applications to Quantum Mechanics
Author: Niky Kamran
Publisher: American Mathematical Soc.
ISBN: 0821851691
Category : Mathematics
Languages : en
Pages : 322
Book Description
This 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.
Publisher: American Mathematical Soc.
ISBN: 0821851691
Category : Mathematics
Languages : en
Pages : 322
Book Description
This 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.
Lie Algebras and Quantum Mechanics
Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 340
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 340
Book Description
Quantum Theory, Groups and Representations
Author: Peter Woit
Publisher: Springer
ISBN: 3319646125
Category : Science
Languages : en
Pages : 659
Book Description
This 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.
Publisher: Springer
ISBN: 3319646125
Category : Science
Languages : en
Pages : 659
Book Description
This 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.
Symmetries, Lie Algebras and Representations
Author: Jürgen Fuchs
Publisher: Cambridge University Press
ISBN: 9780521541190
Category : Mathematics
Languages : en
Pages : 464
Book Description
This 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.
Publisher: Cambridge University Press
ISBN: 9780521541190
Category : Mathematics
Languages : en
Pages : 464
Book Description
This 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.
Quantum Worlds
Author: Olimpia Lombardi
Publisher: Cambridge University Press
ISBN: 1108473474
Category : Science
Languages : en
Pages : 411
Book Description
Offers a comprehensive and up-to-date volume on the conceptual and philosophical problems related to the interpretation of quantum mechanics.
Publisher: Cambridge University Press
ISBN: 1108473474
Category : Science
Languages : en
Pages : 411
Book Description
Offers a comprehensive and up-to-date volume on the conceptual and philosophical problems related to the interpretation of quantum mechanics.
Lie Algebras and Applications
Author: Francesco Iachello
Publisher: Springer
ISBN: 3540362398
Category : Science
Languages : en
Pages : 208
Book Description
This 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.
Publisher: Springer
ISBN: 3540362398
Category : Science
Languages : en
Pages : 208
Book Description
This 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.
Group Theory and Its Applications
Author: Ernest M. Loebl
Publisher: Academic Press
ISBN: 1483263789
Category : Mathematics
Languages : en
Pages : 327
Book Description
Group 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.
Publisher: Academic Press
ISBN: 1483263789
Category : Mathematics
Languages : en
Pages : 327
Book Description
Group 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.
Nuclear Science Abstracts
Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 964
Book Description
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 964
Book Description
An Introduction to Lie Groups and Lie Algebras
Author: Alexander A. Kirillov
Publisher: Cambridge University Press
ISBN: 0521889693
Category : Mathematics
Languages : en
Pages : 237
Book Description
This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.
Publisher: Cambridge University Press
ISBN: 0521889693
Category : Mathematics
Languages : en
Pages : 237
Book Description
This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.