What Are the Best Resources to Learn Operators and Operator Theory?

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Discussion Overview

The discussion centers around recommendations for resources to learn about operators and operator theory, with a focus on rigorous materials suitable for various levels of understanding. Participants seek to identify books and websites that effectively cover the topic.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • One participant expresses a strong interest in learning about operators and operator theory and requests recommendations for rigorous resources.
  • Another participant inquires about the level of linear algebra knowledge the original poster possesses and suggests Apostol's Calculus Vol II as a rigorous introduction.
  • A different participant recommends Shankar's Principles of Quantum Mechanics as providing an excellent introduction to the formalism of operators.
  • Another participant advocates for the set by Reed and Simon, describing it as a standard reference for understanding the mathematics behind quantum theory, particularly for physicists.

Areas of Agreement / Disagreement

Participants present differing opinions on the best resources, with no consensus on a single recommended text or approach. Multiple competing views remain regarding the most suitable materials for learning about operators and operator theory.

Contextual Notes

Participants' recommendations may depend on their individual backgrounds and the specific aspects of operator theory they find most relevant or accessible.

Who May Find This Useful

Readers interested in learning about operators and operator theory, particularly those seeking rigorous academic resources, may find this discussion beneficial.

von_Bismarck
Presently I am very much interested in learning of operators and operator theory. Any information provided would be greatly appreciated, esp. in the form of recommended books or websites (the more rigorous, the better).

Thank you in advance!
 
Physics news on Phys.org
How much linear algebra do you know? Apostol's Calcus Vol II covers an intro to that very rigorously...
 
In my opinion, Shankar's Principles of Quantum Mechanics gives the best introduction to formalism.

eNtRopY
 
IMO a good introduction for physicist is a set by Reed and Simon, a standard reference for anyone who want to understand math behind quantum theory.

Instanton
 

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