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As the title says, I am interested in a textbook/reference that deals exclusively with the mathematical foundations of quantum mechanics, without (or, with minimal) physics involved.

As an example on what I am looking for, is a text in the flavor of (but more extensive than) the 2nd chapter of Nielsen & Chuang's "Quantum Computation and Quantum Information" which contains math formalism without any physics stuff involved.

Thanks

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    $\begingroup$ Quantum mechanics and Quantum Computation are two completely different areas. $\endgroup$
    – zkutch
    Commented Jun 17, 2022 at 11:54
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    $\begingroup$ @zkutch Did I imply somewhere that they are similar areas? $\endgroup$
    – PsySp
    Commented Jun 17, 2022 at 11:55
  • $\begingroup$ In title is one, in text another. $\endgroup$
    – zkutch
    Commented Jun 17, 2022 at 11:56
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    $\begingroup$ @zkutch I am sorry but I do not understand what you mean. In the text I refer to Chapter 2 of the book which is exclusively about the math formalisms of quantum mechanics. $\endgroup$
    – PsySp
    Commented Jun 17, 2022 at 11:56
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    $\begingroup$ If you want "extensive", then I doubt if anything could beat Reed and Simons's massive 4-volume blockbuster Methods of Modern Mathematical Physics. $\endgroup$
    – lonza leggiera
    Commented Jun 17, 2022 at 15:01

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I am not sure how to do your "flavor" comparison for you, but you seem to be asking for "more but rigorous". In your shoes, I'd start from a modern bare minimum text such as

  • Brian Hall's Quantum Theory for Mathematicians (Graduate Texts in Mathematics, 267) ; (Springer; 2013 edition ISBN-13: 978-1461471158)

It is in today's language, covers the bases and the bare rigorous minimum you appear interested in, and eschews the alternate universe that absorbs mathematical physicists' and functional analysts' attention.

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  • $\begingroup$ Ευχαριστώ! I was not aware of this text and it seems to contain much of what I am interested in. $\endgroup$
    – PsySp
    Commented Jun 19, 2022 at 8:56

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