Reference for Axiomatic Quantum Statistical Mechanics

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SUMMARY

The discussion centers on the search for a comprehensive resource on Quantum Statistical Mechanics that employs an axiomatic formulation using density matrices. The user has already studied two volumes of Cohen's work on Quantum Mechanics and seeks recommendations for further reading. A notable suggestion is "Principles of Statistical Mechanics" by Amnon Katz, published by W. H. Freeman and Company in 1967, which is praised for its information-theoretical approach to both classical and quantum statistical mechanics.

PREREQUISITES
  • Understanding of Quantum Mechanics, specifically through Cohen's volumes.
  • Familiarity with density matrices and their applications in quantum theory.
  • Basic knowledge of second quantization concepts.
  • Awareness of axiomatic formulations in physics.
NEXT STEPS
  • Research the axiomatic formulation of quantum mechanics using density matrices.
  • Explore the information-theoretical approach in statistical mechanics.
  • Study the implications of second quantization in quantum statistical mechanics.
  • Read "Principles of Statistical Mechanics" by Amnon Katz for a deeper understanding.
USEFUL FOR

Students and researchers in theoretical physics, particularly those focusing on quantum mechanics and statistical mechanics, will benefit from this discussion.

1ndranil
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I have gone through two volumes of Cohen (Quantum Mechanics). Now I need a book on Quantum Statistical Mechanics. The book should use axiomatic formulation using density matrix. Please give me a suggestion. ( I'm also introduced with 2nd quantization slightly) Thanks for any help in advance.
 
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I like the information-theoretical approach. A very good book for both classical and quantum statistical mechanics is

Katz, Amnon: Principles of Statistical Mechanics, W. H. Freeman and Company, 1967
 

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