Quantum mechanics and mathematical physics textbooks

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Discussion Overview

The discussion revolves around recommendations for textbooks in quantum mechanics and mathematical physics, including specific interests in Green's functions and the mathematical foundations relevant to physics. Participants share their experiences and preferences regarding various texts suitable for different levels of study.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks recommendations for good textbooks in quantum mechanics and mathematical physics, specifically mentioning an interest in Green's functions.
  • Another participant suggests "Mathematics of Classical and Quantum Physics" by Byron and Fuller as a good and affordable option for mathematical physics.
  • A participant with a graduate level in quantum mechanics requests additional recommendations for mathematical physics, noting their satisfaction with the previously mentioned book.
  • One participant recommends "Mathematical Physics" by S. Hassani, suggesting it is suitable for those looking for a math-for-physicists approach.
  • There is a caution from a participant about the expense of textbooks, advising to review them beforehand, possibly through library borrowing.
  • Another participant mentions that their class uses "Quantum Mechanics for Mathematicians" by Leon A. Takhtajan, suggesting it may be worth checking out.
  • A participant expresses confusion over the terminology, distinguishing between "Mathematical Physics" and "Mathematical Methods for Physicists," referencing works by Thirring and Arnold as examples of the former.
  • Another book, "Mathematics for Physics and Physicists" by Walter Appel, is mentioned as having a more mathematical flavor.
  • A participant inquires about a specific book link shared, seeking opinions on its content or quality.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a single recommended textbook, as multiple titles are proposed, reflecting differing interpretations of what constitutes "mathematical physics" and varying levels of study.

Contextual Notes

There is ambiguity in the definitions of "mathematical physics" and "mathematical methods," which may affect the recommendations provided. Additionally, the discussion includes varying levels of expertise among participants, influencing their suggestions.

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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