High-level book on scattering in quantum mechanics

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SUMMARY

The discussion centers on finding a high-level book on scattering in quantum mechanics, specifically one that delves into the mathematical intricacies of the S matrix, including its analytic structure and the significance of poles in the complex plane. Participants mention Taylor's "Scattering Theory: The Quantum Theory of Nonrelativistic Collisions" as a potential resource, although it may not meet the desired advanced level. Additionally, the need for a unified treatment of scattering in both graduate quantum mechanics and quantum field theory courses is emphasized. The suggestion of Eden et al. is also noted as a suitable alternative for deeper understanding.

PREREQUISITES
  • Understanding of S matrix theory in quantum mechanics
  • Familiarity with Green's functions and two-point functions
  • Knowledge of complex analysis as it pertains to quantum mechanics
  • Basic concepts of quantum field theory (QFT)
NEXT STEPS
  • Research Taylor's "Scattering Theory: The Quantum Theory of Nonrelativistic Collisions"
  • Explore Eden et al.'s contributions to scattering theory
  • Study the analytic structure of the S matrix in detail
  • Learn about the implications of poles in the S matrix on physical phenomena
USEFUL FOR

Researchers, graduate students, and academics in quantum mechanics and quantum field theory seeking advanced resources on scattering theory and its mathematical foundations.

king vitamin
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I'm interested in a book which treats scattering in quantum mechanics aimed at the research-level. I'm particularly interested in a text which focuses on mathematical details such as the analytic structure of the S matrix, the relation between the S matrix and various green's/two-point functions, the meaning of poles in the S matrix and the relevance to where they lie on the complex plane, etc.

One major point of confusion I've always had is that scattering is treated quite differently in graduate QM courses and QFT courses, and so a book which treats both in a unified way would be ideal.
 
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Do you know Taylor's "Scattering Theory: The Quantum Theory of Nonrelativistic Collisions"? I'm not sure if it is high-level enough for your purposes, though.
 
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I'd forgotten about Taylor, but looking it up I see that I've actually looked at it before when I had questions about scattering, thanks! I was aiming for a higher level but this definitely looks like a good place to start when I have questions.
 

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