The Mathematical Structure of QM and the Stern Gerlach

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Discussion Overview

The discussion revolves around the mathematical structure of quantum mechanics (QM) and its relationship to the Stern-Gerlach experiment. Participants explore various resources and books that address the mathematical foundations of QM, particularly from an experimental perspective.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that many QM texts, such as Sakurai's, reference the Stern-Gerlach experiment as a motivation for the mathematical structure of QM and seeks alternative books that develop this connection.
  • Another participant suggests that the Feynman Lectures provide a similar treatment of the topic.
  • A different participant mentions a book previously discussed in another thread that offers an experimental approach to QM, although they express a personal preference for viewing QM as an extension of probability theory.
  • There is a request for additional book recommendations that align with the experimental approach to QM.

Areas of Agreement / Disagreement

Participants express varying preferences for theoretical versus experimental approaches to QM, indicating that there is no consensus on the best way to understand the mathematical structure of QM in relation to the Stern-Gerlach experiment.

Contextual Notes

Some participants express uncertainty about the availability of specific books and the relevance of different approaches to QM, highlighting the subjective nature of their preferences.

Who May Find This Useful

Readers interested in the mathematical foundations of quantum mechanics, particularly those seeking resources that emphasize experimental approaches, may find this discussion valuable.

Ahmad Kishki
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Many books in QM (eg: Sakurai) mention that the stern-gerlach experiment provides enough motivation for the mathematical structure of QM, Sakurai even mentions Gottfried's book. Point is, i didnt find Gottfried's book, so i am looking for other books that develop the math of quantum mechanics this way.
 
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I sense you may be looking for a more experimental approach to QM. We had a discussion about that a while ago and the following book was mentioned:
https://www.amazon.com/dp/110706399X/?tag=pfamazon01-20

It looks a very good book and may interest you.

I have to say though its not my preferred approach because I believe QM at rock bottom is simply an extension to probability theory:
http://www.scottaaronson.com/democritus/lec9.html

But that's just me. Science is based on experiment - not how I prefer to look at things.

Thanks
Bill
 
bhobba said:
I sense you may be looking for a more experimental approach to QM. We had a discussion about that a while ago and the following book was mentioned:
https://www.amazon.com/dp/110706399X/?tag=pfamazon01-20

It looks a very good book and may interest you.

I have to say though its not my preferred approach because I believe QM at rock bottom is simply an extension to probability theory:
http://www.scottaaronson.com/democritus/lec9.html

But that's just me. Science is based on experiment - not how I prefer to look at things.

Thanks
Bill

Thank you. Your sense was right :) please recommend other books of this type so that i can have a couple of titles to check with the library :)
 

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