QM Probability: Is It Critical to Learn?

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Discussion Overview

The discussion revolves around the necessity of probability theory for learning quantum mechanics (QM). It explores the foundational aspects of probability theory and its relevance to both introductory and advanced studies in QM.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant asserts that understanding classical probability theory and statistics is essential for learning QM, referencing specific chapters from a mathematical methods book as useful resources.
  • Another participant agrees that basic probability theory is necessary, particularly knowledge typically acquired in high school or introductory university courses.
  • This same participant notes that advancing in QM foundations may require more advanced knowledge of probability theory, linking to an external resource for further reading.

Areas of Agreement / Disagreement

Participants generally agree that some level of probability theory is important for learning QM, but there is a divergence regarding the depth of knowledge required, with some suggesting only basic understanding is necessary while others indicate that advanced knowledge may be needed for deeper study.

Jianphys17
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Hello everyone !
I would like to know if prob. theory is critical to learning Qm !
 
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Yes, you definitely need to know the fundamentals of classical probability theory and statistics. Most 'mathematical methods' books have a chapter or two that'll provide you with the requisite background. For example, chapters 30 and 31 of Riley et al.'s "Mathematical Methods for Physics and Engineering" are quite good.
 
Jianphys17 said:
Hello everyone !
I would like to know if prob. theory is critical to learning Qm !

Yes - but only basic probability theory your likely learned at HS or an introductory subject at uni.

That said if you want to progress to higher levels in QM foundations you need some rather advanced knowledge:
https://arxiv.org/abs/1402.6562

Thanks
Bill
 
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Thank You !
 

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