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Title: The Theory of Groups and Quantum Mechanics by Hermann Weyl ISBN: 0-486-60269-9 Publisher: Dover Pubns Pub. Date: 01 June, 1950 Format: Paperback Volumes: 1 List Price(USD): $16.95 |
Average Customer Rating: 4.6 (5 reviews)
Rating: 4
Summary: Still a good book
Comment: 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.
Rating: 5
Summary: A wonderful book
Comment: 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.
Rating: 5
Summary: One of the two great classics on group theory in physics
Comment: 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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Title: Group Theory and Its Application to Physical Problems by Morton Hamermesh ISBN: 0486661814 Publisher: Dover Pubns Pub. Date: 01 December, 1989 List Price(USD): $22.95 |
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Title: Group Theory in Quantum Mechanics by Volker Heine ISBN: 0486675858 Publisher: Dover Pubns Pub. Date: 13 May, 1993 List Price(USD): $16.95 |
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Title: Symmetry by Hermann Weyl ISBN: 0691023743 Publisher: Princeton Univ Pr Pub. Date: 01 January, 1983 List Price(USD): $18.95 |
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Title: The Theory of Spinors by Elie Cartan ISBN: 0486640701 Publisher: Dover Pubns Pub. Date: 01 February, 1981 List Price(USD): $10.95 |
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Title: Space, Time, Matter by Hermann Weyl ISBN: 0486602672 Publisher: Dover Pubns Pub. Date: 01 June, 1952 List Price(USD): $14.95 |
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