Book recommendations for second quantization and Jellium model

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Discussion Overview

The discussion revolves around recommendations for books on second quantization and the jellium model in the context of quantum mechanics and quantum field theory. Participants share their opinions on various texts suitable for different levels of understanding.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • Some participants suggest Flensburg and Bruus' book as a gentle introduction to second quantization, noting its modern approach.
  • Others recommend Fetter and Walecka for its detailed treatment, although it is considered more advanced and somewhat older.
  • The classic text by Abrikosov, Gor'kov, and Dzyaloshinkii is mentioned, with a note on its concise and dense style, which may be challenging for some readers.
  • One participant mentions their background in quantum mechanics but not in quantum field theory, indicating a need for accessible resources.
  • Another participant suggests Richard Mattuck's book as a gentler introduction if Flensburg and Bruus proves too difficult.
  • Landau & Lifshitz volume IX is also recommended, with a note on its similarly Russian style.

Areas of Agreement / Disagreement

Participants generally agree on the suitability of the first two books for those without a background in quantum field theory, but there is some disagreement on the difficulty level of the second book. The discussion remains unresolved regarding the best starting point for readers with varying backgrounds.

Contextual Notes

Participants express varying levels of familiarity with quantum mechanics and quantum field theory, which may influence their recommendations. The discussion does not resolve the best approach for beginners or those transitioning from quantum mechanics to quantum field theory.

pallab
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please refer me a good book for the detail step by step study on the second quantization. and also where can I find the jellium model for the metal?
 
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It depends a little on your background. Flensburg and Bruus' book is a pretty gentle introduction and written in a fairly modern way. I quite like Fetter and Walecka, which is a bit more advanced but also more detailed (it is also a little bit older, but I don't think it suffers due to its age).

The "classic" is Abrikosov, Gor'kov, and Dzyaloshinkii, but it is famously very Russian (extremely concise, dense, and equation-heavy).
 
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king vitamin said:
It depends a little on your background. Flensburg and Bruus' book is a pretty gentle introduction and written in a fairly modern way. I quite like Fetter and Walecka, which is a bit more advanced but also more detailed (it is also a little bit older, but I don't think it suffers due to its age).

The "classic" is Abrikosov, Gor'kov, and Dzyaloshinkii, but it is famously very Russian (extremely concise, dense, and equation-heavy).
I have studied quantum mechanics but not the quantum field theory.
 
I think that the first two books are ok if you have not taken QFT, though the second will be a bit more difficult. If you find Flensberg and Bruus too difficult, Richard Mattuck's book A Guide to Feynman Diagrams in the Many-Body Problem is a very gentle introduction to the subject.
 
Also, don't forget Landau&Lifshitz vol. IX (also pretty Russian in style of course ;-)).
 

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