Quantum High-level book on scattering in quantum mechanics

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The discussion focuses on the search for advanced texts on scattering in quantum mechanics, particularly those that delve into mathematical intricacies such as the analytic structure of the S matrix, its relationship with Green's functions, and the significance of poles in the S matrix within the complex plane. A notable point raised is the discrepancy in how scattering is approached in graduate quantum mechanics (QM) courses compared to quantum field theory (QFT) courses, highlighting the need for a unified treatment. Taylor's "Scattering Theory: The Quantum Theory of Nonrelativistic Collisions" is mentioned as a potential resource, although its suitability for advanced research-level inquiries is questioned. Additionally, Eden et al. is suggested as another possible reference for those seeking a deeper understanding of the subject.
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.
 
This thread only works as a summary from the original source: List of STEM Masterworks in Physics, Mechanics, Electrodynamics... The original thread got very long and somewhat hard to read so I have compiled the recommendations from that thread in an online (Google Drive) spreadsheet. SUMMARY Permits are granted so you can make comments on the spreadsheet but I'll initially be the only one capable of edition. This is to avoid the possibility of someone deleting everything either by mistake...
By looking around, it seems like Dr. Hassani's books are great for studying "mathematical methods for the physicist/engineer." One is for the beginner physicist [Mathematical Methods: For Students of Physics and Related Fields] and the other is [Mathematical Physics: A Modern Introduction to Its Foundations] for the advanced undergraduate / grad student. I'm a sophomore undergrad and I have taken up the standard calculus sequence (~3sems) and ODEs. I want to self study ahead in mathematics...

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