Which Book Explains Linear Operators in Quantum Mechanics for Beginners?

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Discussion Overview

The discussion centers around recommendations for books that explain linear operators in quantum mechanics, particularly aimed at beginners. Participants share their experiences and suggest resources that may aid in understanding the algebra of operators and functional spaces.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • A newcomer expresses a need for guidance on understanding the algebra of operators in quantum mechanics and requests book recommendations.
  • One participant suggests "Methods of Modern Mathematical Physics" by Reed and Simon as a valuable resource.
  • Another participant mentions enjoying Von Neumann's book, noting it as a good mathematical introduction, despite being somewhat dated.
  • Additional advice is given that a solid understanding of complex analysis and probability may also benefit studies in quantum mechanics.

Areas of Agreement / Disagreement

Participants generally agree on the value of the suggested books, but there is no consensus on a single best resource, as different opinions on the suitability of the recommendations are expressed.

Contextual Notes

Some participants highlight the importance of prior knowledge in complex analysis and probability, indicating that these areas may influence the understanding of quantum mechanics, but specific prerequisites are not universally defined.

Atanu
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I'm a newcomer here... so I introduce myself:
I've just completed my BS in physics and joining M.Sc... I've interested to take specialisation in Quantum mechanics and will continue in theoretical physics in the future...

I'm facing problems understanding the algebra of operators... basically realting the functional spaces... can anyone please suggest me the finest and the easiyest book on "Linear operators in quantum mechanics"..
I'll be greatful...
 
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I'd definitely take a look at:

Reed M., Simon B. Methods of modern mathematical physics, v.1-4
 
It's a fair bit dated, but I quited enjoyed Von Neumann's book.
 
Yes I would agree that von Neumann's book is a quite good mathematical introduction.
 
a good understanding of complex analysis and probability will also help in your QM studies
 

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