Find the Spin Eigenvalues for Two Particles with Spin=1

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SUMMARY

The discussion focuses on finding the spin eigenvalues for two particles, each with a spin quantum number of 1 (s1=1 and s2=1). The key task is to determine the possible eigenvalues for the squared total spin, which is derived from the principles of angular momentum addition. The relevant chapter for this topic is the addition of angular momentum, as referenced in the provided Wikipedia link. This foundational concept is crucial for solving the problem presented by the user.

PREREQUISITES
  • Understanding of quantum mechanics, specifically spin and angular momentum.
  • Familiarity with the concept of eigenvalues in quantum systems.
  • Knowledge of the addition of angular momentum in quantum mechanics.
  • Basic proficiency in English for interpreting scientific literature.
NEXT STEPS
  • Study the addition of angular momentum in quantum mechanics.
  • Learn about the mathematical derivation of spin eigenvalues for multiple particles.
  • Review the implications of total spin in quantum systems.
  • Explore resources on quantum mechanics to strengthen foundational knowledge.
USEFUL FOR

Students preparing for exams in quantum mechanics, physicists studying angular momentum, and anyone interested in the mathematical aspects of spin systems.

ATY
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Hey guys,
I really need your help. I have an exam tomorrow and no idea how to solve this task. Sorry for my bad english (did not use it for a long time). I hope that I translated the task correctly so that you might be able to help me.

So
We have two particles with spin=1 which means they have the spin quantum number s1=1 and s2=1.
a) Give the possible eigenvalues for the squared total spin (no idea how to translate this word correctly. In german it is "Gesamtspin"

I'll give you the other parts of the tasks after we hopefully manage to solve this, because this means that my translation is more or less ok.
 
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ATY said:
Hey guys,
I really need your help. I have an exam tomorrow and no idea how to solve this task. Sorry for my bad english (did not use it for a long time). I hope that I translated the task correctly so that you might be able to help me.

So
We have two particles with spin=1 which means they have the spin quantum number s1=1 and s2=1.
a) Give the possible eigenvalues for the squared total spin (no idea how to translate this word correctly. In german it is "Gesamtspin"

I'll give you the other parts of the tasks after we hopefully manage to solve this, because this means that my translation is more or less ok.

Start of using the template please. It's there for a reason.
Given the fact that your English is rusty I take it you are using a German book?

The chapter you are looking for is addition of angular momentum (gesamtdrehimpuls) https://de.wikipedia.org/wiki/Gesamtdrehimpuls
 

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