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Group Theory: And its Application to the Quantum Mechanics of Atomic Spectra (Anglais) Broché – 28 avril 1959
4,6 étoiles sur 5
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Présentation de l'éditeur
Group Theory and its Application to the Quantum Mechanics of Atomic Spectra describes the applications of group theoretical methods to problems of quantum mechanics with particular reference to atomic spectra. The manuscript first takes a look at vectors and matrices, generalizations, and principal axis transformation. Topics include principal axis transformation for unitary and Hermitian matrices; unitary matrices and the scalar product; linear independence of vectors; and real orthogonal and symmetric matrices. The publication also ponders on the elements of quantum mechanics, perturbation theory, and transformation theory and the bases for the statistical interpretation of quantum mechanics. The book discusses abstract group theory and invariant subgroups, including theorems of finite groups, factor group, and isomorphism and homomorphism. The text also reviews the algebra of representation theory, rotation groups, three-dimensional pure rotation group, and characteristics of atomic spectra. Discussions focus on eigenvalues and quantum numbers, spherical harmonics, and representations of the unitary group. The manuscript is a valuable reference for readers interested in the applications of group theoretical methods. --Ce texte fait référence à l'édition Broché .
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Par DonP - Publié sur Amazon.com
Format: Format Kindle Achat vérifié
This is the classic, timeless text on group and representation theory as applied to atomic spectra with treatments of angular momentum in quantum mechanics, selection and intensity rules with electron spin, fine structure of spectral lines, and Racah coefficients. This Kindle eTextbook is a Print Replica, which means that the pages in their entirety are rendered as graphic images. This means that the text and equations resize together and it doesn't happen that the equations are tiny and almost unreadable and can't be resized as happens with so many Kindle eTextbooks that render the equations as graphic images but not the text. The Kindle readers do not yet support mathematical markup language, so equations are always graphic images. Although Print Replica eTextbooks result in larger file sizes, it is worth it to make the equations readable! By the way, I am using the latest Kindle for PC reader on a 15 inch Windows 10 laptop. Amazon should make all Kindle books with equations available in Print Replica format as well as the format where only the equations are graphic images!
2 internautes sur 2 ont trouvé ce commentaire utile
Par Pichierri Fabio - Publié sur Amazon.com
Wigner's book (published in 1959) is an expanded and revised English translation of the book originally published in German in 1931. Starting from vectors and matrices the author moves on to the description of abstract group theory and its application to atomic spectra. This is a classical reference in the field of quantum mechanics and atomic physics which should be consulted by most physicists and chemists although the style is rather concise and the expected reader is someone that has already been exposed to the basic concepts of group theory and quantum mechanics. A nice and more pedagogical book on group theory is McWeeny's "Symmetry: An Introduction to Group Theory and Its Applications" while for those interested in the application of group theory to molecules the book "Molecular Vibrations: The Theory of Infrared and Raman Vibrational Spectra" by Wilson, Decius, and Cross is highly recommended (both books are published by Dover).
10 internautes sur 10 ont trouvé ce commentaire utile
Par Ulfilas - Publié sur Amazon.com
Eugene Wigner won the 1963 Nobel Prize in Physics, in part due to his contributions to symmetry principles in physics. In reading other books on group theory and quantum physics, you usually find a large number of references to Wigner's book. In fact, other books often state a theorem and then refer to Wigner's book for the proof. For me, I was trying to find a proof that I could understand for the Vector Addition Theorem for angular momentum. The proof involves breaking down the direct product of two angular momentum representations into a sum of irreducible representations--that is, D(i) x D(j) = D(i+j) + ... + D(i-j). For example D(1) x D(1) = D(2) + D(1) + D(0). Wigner gives a simple proof for this theorem on pp.186-187 in which he just rearranges the components of the characters of the representations. I had already read the proofs for this theorem in Tinkham Group Theory and Quantum Mechanics and Heine Group Theory in Quantum Mechanics: An Introduction to Its Present Usage (Dover Books on Physics), but either I could not understand their proofs or I just could not find them convincing. Wigner's proof, however, was clear and understandable. Please note that I have scanned pp.184-189 so that the reader can get a look at Wigner's proof.
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