Where Can I Find Resources for Understanding Stern-Gerlach Experiment Math?

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SUMMARY

The discussion focuses on finding resources to understand the mathematical framework of the Stern-Gerlach experiment, particularly in relation to atomic states and outcome probabilities. Participants emphasize that the required math involves basic probability theory and linear algebra, which should have been covered in prior coursework. Recommended resources include Sakurai's textbook for notation and Feynman's Lecture on Physics Volume III for explanations of spin. The consensus is that while many quantum mechanics (QM) texts assume prior knowledge, specific resources addressing the Stern-Gerlach experiment are limited.

PREREQUISITES
  • Basic probability theory
  • Linear algebra fundamentals
  • Familiarity with quantum mechanics concepts
  • Understanding of bra-ket notation
NEXT STEPS
  • Explore Sakurai's "Modern Quantum Mechanics" for notation and foundational concepts
  • Read Feynman's "Lectures on Physics Volume III" for insights on spin and quantum mechanics
  • Research online courses specifically covering the Stern-Gerlach experiment
  • Study resources on angular momentum operators in quantum mechanics
USEFUL FOR

Students of quantum mechanics, educators teaching quantum physics, and anyone seeking to deepen their understanding of the mathematical principles behind the Stern-Gerlach experiment.

phil ess
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Hi!

I'm wondering if anyone knows any good resources to learn the math involved in describing atomic states and outcome probabilities in Stern-gerlach experiments.

This is to help me with my coursework, but I can't find a single online quantum course or anything that deals expressly with this. Most quantum courses start with introducing Schrödinger's equation and stuff like photoelectric effect and the hydrogen atom, but my intro quantum course deals only with determining probabilities for outcomes in Stern-gerlach experiments and the associated mathematical framework.

If anyone has some sites/books that they know of which deals with this stuff it would help me a lot!

Thanks!
 
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The math is pretty straightforward, it is just basic probability theory combined with some linear algebra. This should have been covered in your math courses.

I can't think of a QM book deals explicity with the math, most books will just assume that you already know this stuff (although books like Sakurai uses the S-G experiment to introduce some of the notation etc that is specific to QM, such as bra-ket notation).
 
Feynman's Lecture on Physics Volume III has pretty good explanations of spin without delving into details of angular momentum operator math.
 

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