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Sep 9, 2023 at 18:25 comment added MBlrd @ACuriousMind yes please. I understand that path integral approach is also very popular, but I would prefer the algebraic approach if possible
Sep 9, 2023 at 12:34 comment added ACuriousMind But you are specifically looking at $C^\ast$-algebraic approaches? Because for instance Glimm and Jaffe's Quantum Physics is a mathematically rigorous look at quantum field theory but it uses the point of view of path integrals, not of operator algebras. I'm not sure if this within the scope of material you're asking for here or not from how the question is currently written
Sep 9, 2023 at 12:22 comment added MBlrd @Bababeluma thank you, I will have a look!
Sep 9, 2023 at 12:22 history edited MBlrd CC BY-SA 4.0
Improved the description of the problem
Sep 9, 2023 at 12:19 comment added MBlrd @ACuriousMind Thank you for your question, I wanted to match the name of the mathematical approach that I have seen in books, expressed in terms of C* algebras. But I think you are right, the two should be the same. Just to clarify: I am not looking specifically at relativistic quantum field theory
Sep 9, 2023 at 12:14 comment added Bababeluma In case this is what you're looking for, Mathematical Foundations of Quantum Mechanics by Von Neumann.
Sep 9, 2023 at 12:07 history notice added Qmechanic Book Recommendation
Sep 9, 2023 at 12:07 history edited Qmechanic
edited tags; Post Made Community Wiki
Sep 9, 2023 at 12:02 comment added ACuriousMind Is there a specific reason you're saying "quantum mechanics with infinite degrees of freedom" and not "quantum field theory"?
Sep 9, 2023 at 11:56 history asked MBlrd CC BY-SA 4.0