Advanced-undegrad/junior post-grad books on QM mathematics

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Discussion Overview

The discussion centers around recommendations for advanced undergraduate or junior postgraduate texts that explore the mathematics of quantum mechanics (QM) in greater depth than standard introductory materials. Participants express a desire for resources that enhance understanding of theoretical QM, potentially including an introduction to quantum field theory (QFT).

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant seeks recommendations for texts that provide a deeper mathematical treatment of QM, similar to Nielsen and Chuang's style but more advanced.
  • A link to an arXiv paper is shared, possibly as a resource for further reading.
  • Another participant suggests "An Introduction to Quantum Theory" by Keith Hannabuss as a potential resource.
  • A follow-up question is posed regarding whether the recommended texts cover topics such as positive operator-valued measures (POVMs) and basic functional analysis or operator theory.

Areas of Agreement / Disagreement

Participants have not reached a consensus on specific texts, and multiple suggestions are presented without clear agreement on their suitability or coverage of desired topics.

Contextual Notes

Participants express varying levels of familiarity with advanced texts, indicating potential limitations in understanding certain recommended materials.

WWCY
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Hi all,

I was wondering if I could get recommendations for texts/notes that delve deeper into the mathematics of QM as well as QM itself than what one finds in standard "Intro to QM" texts. Ideally it'd be presented in the style of Nielsen and Chuang's Quantum Computation book, but in greater depth. An introduction to QFT at the end would be a bonus.

If it helps, I'm looking for material that will help me better understand theoretical QM papers.

Many thanks in advance.

PS texts/notes like these https://www.mat.univie.ac.at/~gerald/ftp/book-schroe/schroe.pdf are much too difficult for me.
 
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"An Introduction to Quantum Theory" by Keith Hannabuss perhaps?
 
Cheers for the recommendations, do these go through topics like POVMs and basic functional analysis/operator theory?
 

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