Quantum mechanics and mathematical physics textbooks

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The discussion centers on recommendations for textbooks in quantum mechanics and mathematical physics, particularly those that include Green's functions. A notable suggestion is "Mathematics of Classical and Quantum Physics" by Byron and Fuller, praised for its affordability as a Dover publication. For mathematical physics, "Mathematical Physics" by S. Hassani is recommended, although it focuses on mathematics for physicists rather than a deeper mathematical treatment. Another suggestion is "Quantum Mechanics for Mathematicians" by Leon A. Takhtajan, which is used in a mathematical foundation course. The conversation highlights the importance of reviewing textbooks before purchase due to their high cost and varying suitability. Additionally, "Mathematical Methods of Classical Mechanics" by Arnold and "Mathematics for Physics and Physicists" by Walter Appel are mentioned as valuable resources, with the latter offering a more mathematical perspective.
gluon
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Hello!can someone propose a good textbook for quantum mechanics and mathematical physics(including green function)?I would like to buy those books so i want something which is one of the best to have in your libraby!
 
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For a book in mathematical physics i recommend Mathematics of Classical and Quantum Physics - Byron, Fuller, it's a Dover book, so it's cheap!:), and for QM, depends on your level in the subject...
 
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a graduate level in QM.can you proposed another for Mathematical physics because i have Mathematics of Classical and Quantum Physics - Byron, Fuller and its great btw!
 
If you mean with "Mathematical Physics" some math-for-physicists book, I'd recommend

S. Hassani, Mathematical Physics, Springer

Anyway, before you buy any textbook, I'd recommend to look at it before, e.g., borrowing it from a library. Usually textbooks are quite expensive, and not every recommendation may be the right one for you, and then it's a waste of money!
 
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vanhees71 said:
If you mean with "Mathematical Physics" some math-for-physicists book, I'd recommend

S. Hassani, Mathematical Physics, Springer

Good book, but this really introduces the mathematics for physicists. Maybe this is what you're looking for. Or maybe you want a more indepth treatment of the math. In that case, you'll need to do math books.
 
The "mathematical foundation of quantum mechanics" class at my school uses "Quantum Mechanics for Mathematicians" by Leon A. Takhtajan. You might want to check it out.
 
This is indeed a bit of confusion. I'd call Hassani's book "Mathematical methods for physicists", while a book with the title "Mathematical Physics" I'd expect to be more of the kind of the famous four-volume book by Thirring or Arnold's "Mathematical Methods of Classical Mechanics" (which by the way is also just marvelous, but restricted to classical mechanics as the title clearly states).
 

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