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Answer by Hollis Williams for What is the best place to learn about the...

Another possibility might be Mackey's Mathematical Foundations of Quantum Mechanics (Mackey obviously being an eminent researcher in functional analysis and noncommutative geometry).A positive review...

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Answer by John Coleman for What is the best place to learn about the...

Just like studying bioinformatics programming is a good way for a non-biologist to get a basic knowledge of the fundamentals of molecular biology, studying quantum computing is a good way to get a...

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Answer by Alexandre Eremenko for What is the best place to learn about the...

The best introductory book that I know is L. D. Faddeev and O. Ya. Yakubovskii,Lectures on quantum mechanics for mathematics students, translated by the AMS in 2009.

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Answer by Roberto Ladu for What is the best place to learn about the...

I think Strocchi's book An introduction to the Mathematical structure of Quantum Mechanics may do the job.In particular section 1.3 explains what you want (states, observables, expectations,...

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Answer by Carlo Beenakker for What is the best place to learn about the...

Von Neumann and Dirac are hard to beat, but if you want a more recent perspective you might take a look at Mathematical Foundations of Quantum Mechanics: An Advanced Short Course by Valter Moretti.This...

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Answer by Nik Weaver for What is the best place to learn about the...

The question is a little unclear --- you want something axiomatic but not rigorous? Anyway, if you don't care about rigor and you like Dirac deltas, I don't think there's any better place to start than...

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What is the best place to learn about the mathematical foundations of quantum...

I'm looking for good references to learn about the mathematical foundations of quantum mechanics. By mathematical foundations, I do not mean rigorous quantum mechanics in general but the axioms behind...

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