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The Theory of Groups and Quantum Mechanics (Dover Books on Mathematics) ePub download

by Hermann Weyl

  • Author: Hermann Weyl
  • ISBN: 0486602699
  • ISBN13: 978-0486602691
  • ePub: 1957 kb | FB2: 1206 kb
  • Language: English
  • Category: Mathematics
  • Publisher: Dover Publications (June 1, 1950)
  • Pages: 464
  • Rating: 4.6/5
  • Votes: 877
  • Format: txt mobi docx mbr
The Theory of Groups and Quantum Mechanics (Dover Books on Mathematics) ePub download

This landmark among mathematics texts applies group theory to quantum mechanics, first . In the last decade of Weyl's life (he died in Princeton in 1955), Dover reprinted two of his major works, The Theory of Groups and Quantum Mechanics and Space, Time, Matter

This landmark among mathematics texts applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves - rotation, Lorentz, permutation groups, symmetric permutation groups, and the algebra of symmetric transformations. In the last decade of Weyl's life (he died in Princeton in 1955), Dover reprinted two of his major works, The Theory of Groups and Quantum Mechanics and Space, Time, Matter. Two others, The Continuum and The Concept of a Riemann Surface were added to the Dover list in recent years.

The other one is Wigner's "Group Theory and Quantum Mechanics". Don't try to read it in front of the TV set.

It is still a bargain. The extremely clear and closely argued discussion in this book is unparalleled in any other text. It exemplifies an intuition and a rigor that is astounding to experience, and raises one's estimation of the capacity of man and abstract thought. The other one is Wigner's "Group Theory and Quantum Mechanics". Get pencil and paper, put yourself in a calm and contemplative mood and patiently read the words of the master.

The Theory of Groups and Quantum Mechanics. Chapter 7, on applications to molecular quantum mechanics, is now quite dated. I have attempted to read other books on group theory, especially those intended for physicists, including Weyl's book The Theory of Groups and Quantum Mechanics. Tinkham's book, however, is the only one that I have been able to understand relatively well. It was quite incomplete even when written, since it did not include any discussion of ligand-field theory.

University Science Books. The Variational Principles of Mechanics (4th e. Mathematics of Classical and Quantum Physics (Revised e. Relativistic quantum mechanics. Quantum field theory. Axiomatic quantum field theory. Landau, L. Lifshitz, E. M. (1976). Thorne, Kip . Blandford, Roger D. (2017). Quantum field theory in curved spacetime.

Автор: Weyl, Hermann Название: The Theory of Groups and Quantum .

Поставляется из: США Описание: This book is devoted to the consistent and systematic application of group theory to quantum mechanics.

This landmark among mathematics texts applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves - rotation, Lorentz, permutation groups, symmetric permutation groups, and th. .

This landmark among mathematics texts applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves - rotation, Lorentz, permutation groups, symmetric permutation groups, and the algebra of symmetric transformations.

Informationen zum Titel The Theory of Groups and Quantum Mechanics von Hermann Weyl aus der Reihe .

Informationen zum Titel The Theory of Groups and Quantum Mechanics von Hermann Weyl aus der Reihe Dover books on intermediate and advanced mathematics This landmark among mathematics texts applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves – rotation, Lorentz, permutation groups, symmetric permutation groups, and the algebra of symmetric transformations.

It's a very important book, written by the father of group theory application in physics (with Wigner and Pauli), and one of the best mathematician of 20th century, Hermann Weyl. Everyone who wants study a deeper view of quantum mechanics, in his intrinsic mathematical formulation, should read this work. After a firt brief introduction to quantum theory, he passes to explain the theory of rapresentation of groups, and its physical application, like the rotation group, or Lorentz group, and finally the theory of simmetry.

This graduate-level text develops the aspects of group theory most relevant to physics and chemistry (such as the theory of representations) and illustrates their applications to quantum mechanics. The first five chapters focus chiefly on the introduction of methods, illustrated by physical examples, and the final three chapters offer a systematic treatment of the quantum theory of atoms, molecules, and solids

This book is devoted to the consistent and systematic application of group theory to quantum mechanics. Along with his fundamental contributions to most branches of mathematics, Hermann Weyl (1885-1955) took a serious interest in theoretical physics.

This book is devoted to the consistent and systematic application of group theory to quantum mechanics. There follows a rigorous investigation of the relations holding between the mathematical and physical theories. In addition to teaching in Zürich, Göttingen, and Princeton, Weyl worked with Einstein on relativity theory at the Institute for Advanced Studies.

This book is devoted to the consistent and systematic application of group theory to quantum mechanics. Beginning with a detailed introduction to the classical theory of groups, Dr. Weyl continues with an account of the fundamental results of quantum physics. There follows a rigorous investigation of the relations holding between the mathematical and physical theories.Topics covered include: unitary geometry, quantum theory (Schrödinger's wave equation, transition probabilities, directional quantization, collision phenomena, Zeeman and Stark effects); groups and their representations (sub-groups and conjugate classes, linear transformations, rotation and Lorentz groups, closed continuous groups, invariants and covariants, Lie's theory); applications of group theory to quantum mechanics (simple state and term analysis, the spinning electron, multiplet structure, energy and momentum, Pauli exclusion principle, problem of several bodies, Maxwell-Dirac field equations, etc.); the symmetric permutation group; and algebra of symmetric transformation (invariant sub-spaces in group and tensor space, sub-groups, Young's symmetry operators, spin and valence, group theoretic classification of atomic spectra, branching laws, etc).Throughout, Dr. Weyl emphasizes the "reciprocity" between representations of the symmetric permutation group and those of the complete linear group. His simplified treatment of "reciprocity," the Clebsch-Gordan series, and the Jordan-Hölder theorem and its analogues, has helped to clarity these and other complex topics.
Nettale
This is my favorite introduction to quantum mechanics. It is a difficult book, because it is succinct, though clear, and reflects Weyl's powerful intellect and original approach at every step. Each page is a challenge, but worth the effort.
Azago
Weyl was ahead of his time by a good 40 years. Following a general introduction to quantum mechanics and group theory Weyl explores the ideas of applying symmetry groups and algebra to problems of quantum mechanics.

Unfortunately for today's reader, especially one who has been thoroughly exposed to quantum mechanics and group theory in a rigorous setting, Weyl's book is dated in its material and especially in its notation and presentation. He employs outdated and non-standard terminology and notation, and while his discussion of representation theory and applications in physics are certainly lucid some of the most brilliant applications of group theory (gauge groups, and applications in the standard model) are entirely missing - having been discovered roughly 40 years later. There are better textbooks on linear algebra, quantum mechanics, group theory, representation theory, and applications of group theory to QM (roughly the divisions of this text) and at the very least modern texts will not be burdened with the artificial barrier caused of antiquated terminology and notation. In short, this is not a book to start learning the subject, but is certainly interesting in its own right as a historic text.
Kifer
My copy of this book dates back to a Dover edition from 1960 when it cost $1.95. It is still a bargain.

The extremely clear and closely argued discussion in this book is unparalleled in any other text. It exemplifies an intuition and a rigor that is astounding to experience, and raises one's estimation of the capacity of man and abstract thought.

It is also an extremely practical and educational experience in mathematical technique, and how it can illuminate physical theory and experiment, not just mathematics.

As an alternative view, CN Yang has said about this book that "Almost every theoretical physicist born before 1935 has a copy...but very few read it. Most are not accustomed to Weyl's concentration on the structural aspects of physics and feel uncomfortable with his emphasis on concepts. The book was just too abstract for most physicists."

I regard that remark as illuminating the mindset of some physicists. Draw your own conclusions.
Frosha
Written in the early years of the quantum theory, the author of this book foresaw the importance of considering symmetry in physics, the use of which now pervades most of theoretical high energy physics. Indeed, with the advent of gauge theories, and their experimental validation, it is readily apparent that symmetry principles are here to stay, and are just not accidental curiosities. A reader of the book can still gain a lot from the perusal of this book, in spite of its date of publication and its somewhat antiquated notation. Older books also have the advantage of discussing the material more in-depth, and do not hesitate to use hand-waving geometrical pictures when appropriate. This approach results in greater insight into the subject, and when coupled with eventual mathematical rigor gives it a solid foundation. One example where the discussion is superior to modern texts is in the author's discussion of group characters and their application to irreducible representations and spectra in atomic systems.
The reader will no doubt probably want to couple the reading of this book with a more modern text so as to alleviate the notational oddities in this book. The author's presentation is clear enough though to make an appropriate translation to modern notation. The reader will then be well prepared to tackle more advanced material in mathematical and theoretical physics that make use of the group-theoretic constructions that take place in this book.
Stanober
The other one is Wigner's "Group Theory and Quantum Mechanics". As it is true of the other great books by Weyl, this is not an easy book, but it is, by all means, accessible. Don't try to read it in front of the TV set. Get pencil and paper, put yourself in a calm and contemplative mood and patiently read the words of the master. Hermann Weyl, one of the great minds of the 20th century, wrote this book with utmost care to make it self-contained. Sometimes you have to be deep in order to be brief, so the book requires some thought. But the main ideas are all there, and the connection of group theory with quantum mechanics has here its best treatment, in my humble opinion. But in less humble too: this was the only book concerning physics which Enrico Fermi read as a grown up. Once, Max Born had to write a synthetic exposition of Quantum Mechanics. After he finished it, he saw, for the first time, this book, and Weyl's synthesis of QM. He felt depressed by the superiority of Weyl's text. The book was originally written in German, but the translation is excellent, due to the great American cosmologist H. P. Robertson, of Robertson-Walker fame.
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