Group Theory in Quantum Mechanics

Group Theory in Quantum Mechanics
Author :
Publisher : Elsevier
Total Pages : 479
Release :
ISBN-10 : 9781483152004
ISBN-13 : 1483152006
Rating : 4/5 (006 Downloads)

Book Synopsis Group Theory in Quantum Mechanics by : Volker Heine

Download or read book Group Theory in Quantum Mechanics written by Volker Heine and published by Elsevier. This book was released on 2014-05-15 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group Theory in Quantum Mechanics: An Introduction to its Present Usage introduces the reader to the three main uses of group theory in quantum mechanics: to label energy levels and the corresponding eigenstates; to discuss qualitatively the splitting of energy levels as one starts from an approximate Hamiltonian and adds correction terms; and to aid in the evaluation of matrix elements of all kinds, and in particular to provide general selection rules for the non-zero ones. The theme is to show how all this is achieved by considering the symmetry properties of the Hamiltonian and the way in which these symmetries are reflected in the wave functions. This book is comprised of eight chapters and begins with an overview of the necessary mathematical concepts, including representations and vector spaces and their relevance to quantum mechanics. The uses of symmetry properties and mathematical expression of symmetry operations are also outlined, along with symmetry transformations of the Hamiltonian. The next chapter describes the three uses of group theory, with particular reference to the theory of atomic energy levels and transitions. The following chapters deal with the theory of free atoms and ions; representations of finite groups; the electronic structure and vibrations of molecules; solid state physics; and relativistic quantum mechanics. Nuclear physics is also discussed, with emphasis on the isotopic spin formalism, nuclear forces, and the reactions that arise when the nuclei take part in time-dependent processes. This monograph will be of interest to physicists and mathematicians.


Group Theory in Quantum Mechanics Related Books

Group Theory in Quantum Mechanics
Language: en
Pages: 479
Authors: Volker Heine
Categories: Science
Type: BOOK - Published: 2014-05-15 - Publisher: Elsevier

DOWNLOAD EBOOK

Group Theory in Quantum Mechanics: An Introduction to its Present Usage introduces the reader to the three main uses of group theory in quantum mechanics: to la
Group Theory and Quantum Mechanics
Language: en
Pages: 220
Authors: Bartel L. van der Waerden
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The German edition of this book appeared in 1932 under the title "Die gruppentheoretische Methode in der Quantenmechanik". Its aim was, to explain the fundament
Quantum Theory, Groups and Representations
Language: en
Pages: 659
Authors: Peter Woit
Categories: Science
Type: BOOK - Published: 2017-11-01 - Publisher: Springer

DOWNLOAD EBOOK

This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The math
Group Theory
Language: en
Pages: 385
Authors: Eugene P. Wigner
Categories: Science
Type: BOOK - Published: 2013-09-03 - Publisher: Elsevier

DOWNLOAD EBOOK

Group Theory and its Application to the Quantum Mechanics of Atomic Spectra describes the applications of group theoretical methods to problems of quantum mecha
Applications of Group Theory in Quantum Mechanics
Language: en
Pages: 338
Authors: M. I. Petrashen
Categories: Science
Type: BOOK - Published: 2013-01-03 - Publisher: Courier Corporation

DOWNLOAD EBOOK

Geared toward postgraduate students, theoretical physicists, and researchers, this advanced text explores the role of modern group-theoretical methods in quantu