Searching for an introductory Textbook on Fock space

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SUMMARY

The discussion centers on finding introductory textbooks for learning Fock space, a crucial concept in quantum field theory. Recommended texts include "Quantum Theory of Many-Particle Systems" by A. L. Fetter and J. D. Walecka, "Introduction to Axiomatic Quantum Field Theory" by N. N. Bogoliubov and D. V. Shirkov, and "An Introduction to Relativistic Quantum Field Theory" by Silvan S. Schweber. The discussion highlights the importance of second quantization and its relation to the Schrödinger Equation for many identical particles, emphasizing the role of Fock space in this context.

PREREQUISITES
  • Understanding of quantum mechanics fundamentals
  • Familiarity with the Schrödinger Equation
  • Basic knowledge of quantum field theory concepts
  • Awareness of second quantization techniques
NEXT STEPS
  • Study "Quantum Theory of Many-Particle Systems" by A. L. Fetter and J. D. Walecka
  • Explore "Introduction to Axiomatic Quantum Field Theory" by N. N. Bogoliubov and D. V. Shirkov
  • Read "An Introduction to Relativistic Quantum Field Theory" by Silvan S. Schweber
  • Research the application of second quantization in quantum mechanics
USEFUL FOR

Students and researchers in physics, particularly those focusing on quantum mechanics and quantum field theory, will benefit from this discussion as it provides foundational resources for understanding Fock space.

silverwhale
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Hello Everbody!

I want to learn Fock-space. Can somebody point me to a useful textbook where the basics are covered? Or even a good textbook where a chapter or two cover it?

Many thanks in advance!
 
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I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?
 
The Schroedinger Equation for many identical particles can be rewritten as a quantum field theory. This rewriting is called second quantization, and the Hilbert space is described as a Fock space.
http://yclept.ucdavis.edu/course/242/2Q_Fradkin.pdf
http://www.colorado.edu/physics/phys7450/phys7450_sp10/notes/2nd_quantization.pdf
http://www.physics.ucla.edu/~nayak/many_body.pdf
 
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The standard textbook is

A. L. Fetter, J. D. Walecka, Quantum Theory of Many-Particle Systems
 
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Sorry for the very late reply. I was just too busy lately. I'll check vanhees recommendation!

I found two good books:

N. N. Bogoliubov, D. V. Shirkov, Introduction to axiomatic quantum field theory

Silvan S. Schweber, An Introduction to Relativistic Quantum Field Theory

Although Fock space is only treated in certain chapters in these books I liked the concise and very clear treatment.
 
I'll also check atyy links! Thanks everybody! your help is very much appreciated!
 
atyys first two links are very good! Fetters book is also good, although I'm still working through it. I'll update when I have worked through the first chapter.
 

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