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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?
I have studied quantum mechanics but not the quantum field theory.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).
Second quantization is a mathematical framework used in quantum mechanics to describe systems with an indeterminate number of particles. It is based on the concept of creating and annihilating particles, rather than tracking the individual particles themselves.
The Jellium model is a simplified model used in solid state physics to describe the electronic structure of metals. It assumes that the positively charged nuclei are uniformly distributed in a sea of negatively charged electrons, similar to a metallic jello.
Second quantization is important because it allows us to describe the behavior of a large number of particles in a more efficient and elegant way. In the case of the Jellium model, it allows us to describe the collective behavior of the electrons in the metal, rather than tracking each individual electron.
Some recommended books include "Quantum Theory of Many-Particle Systems" by Alexander Fetter and John Walecka, "A Guide to Feynman Diagrams in the Many-Body Problem" by Richard D. Mattuck, and "Introduction to Many-Body Physics" by Piers Coleman.
Yes, a basic understanding of quantum mechanics is necessary to fully grasp the concepts of second quantization and the Jellium model. It is recommended to have a strong foundation in quantum mechanics before delving into these topics.