Discover the Mathematics of Resolvent: Top Book Recommendations

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The discussion centers on finding a suitable book to understand the mathematics of the resolvent, particularly its application in quantum mechanics. One participant suggests checking a math forum and provides a Wikipedia link, noting that "resolvent" can have various meanings depending on the context. The original poster expresses frustration with existing literature, stating that previous books lack detail and that discussions with mathematicians often involve complex symbols that are difficult to comprehend. There is a request for clarification on what is meant by "resolvent," specifically whether it refers to the complement of the spectrum. The conversation highlights the need for accessible resources that bridge the gap between mathematical theory and practical application in physics.
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Does anyone know a good book to learn about the mathematics of the resolvent?

thnx, the samurai.
 
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Thanks, however I want to learn about its application in quantum mechanics. The books I read so far have only poor details about it. if Ill ask mathematicians about it, Ill get symbols that I wouldn't understand ;-)
 
SamuraiJack said:
Thanks, however I want to learn about its application in quantum mechanics. The books I read so far have only poor details about it. if Ill ask mathematicians about it, Ill get symbols that I wouldn't understand ;-)

Do you mean the complement to the spectrum?? Can you tell us what you mean with resolvent?
 

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