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Description
The Theory of Groups and Quantum MechanicsThis 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 (Schr dinger's wave
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 (Schr dinger'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-H lder theorem and its analogues, has helped to clarity these and other complex topics.
Binding Type: Paperback
Publisher: Dover Publications
Published: 06/01/1950
ISBN: 9780486602691
Pages: 464
Weight: 1.04lbs
Size: 8.49h x 5.39w x 0.89d
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4.7 ★★★★★
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Product Reviews
★★★★★ 5
Good start to a series
Format: Kindle
I delayed reading the series for reasons I don’t remember. But my TBR list is huge so I thought I’d take a shot of this and I was pleasantly surprised. I didn’t think the blurb about it was anything special. But it was a very good book. It took some interesting twists and turns. I am so glad the second book is already out. Because I would not have waited patiently. Very slow burn but good storyline. 🔥🔥/5
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Reviewed in the United States on January 3, 2025
★★★★★ 4
A good read
Format: Kindle
Multiple points of view. 3 Alpha men and an Omega male. She is a Beta in training for a new program placing betas in Alpha/Omega packs. Mila is only doing the program for the money to take care of her dad. She wasn't expecting to fall for a pack but when she sees this packs Omega she is done for. There is just something about him. His Alphas are good looking as well. Too bad she is hiding a secret and their government is acting shady. I liked it and can't wait to see where their story goes.
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Reviewed in the United States on November 14, 2023
★★★★★ 3
Slightly repetitive but I did love some things
Format: Kindle
I love this type of story. And omegaverse is one of my all time favorite genres. But there are a few things that pulled me out of my enjoyment while I was reading. It was repetitive at times as well as struggled with telling not showing. So we didn’t always feel like we were experiencing things with the main character. There were also some plot holes but they may still be answered in part 2.
Now this isn’t to be said I didn’t enjoy parts of the story. I loved the almost instant love between Mila and Oliver. And how he started changing around her.
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Reviewed in the United States on February 15, 2024
★★★★★ 5
delightful read
Format: Kindle
What a delightful read. The characters are awesome, the plot was so good, I loved it. I was intrigued and it kept me wanting more. Told in multiple pov, the book sucks you in and doesn’t let go. I cannot wait to read the next book.
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Reviewed in the United States on January 30, 2025
★★★★★ 4
not bad
Format: Kindle
I loved the plot of this book. The characters just didn’t have a lot of depth. The connections and “love” just weren’t communicated very well in the writing. The author didn’t write the sweet psycho trope very well at all either. Lachlan was just a mess of a character.
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Reviewed in the United States on November 17, 2023