Spin state, base transformation

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    Quantum Spin State
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SUMMARY

The discussion centers on expressing the z spin state using the x or y spin states in quantum mechanics. Participants emphasize the importance of understanding the algebra of spin operators and recommend consulting online resources for detailed explanations. They suggest that a solid grasp of quantum mechanics principles, particularly from a college-level introductory course, is essential for tackling such questions effectively. Engaging with focused questions after preliminary research is encouraged for better assistance.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with spin operators in quantum mechanics
  • Knowledge of linear algebra as it applies to quantum states
  • Experience with quantum state transformations
NEXT STEPS
  • Research the algebra of spin operators in quantum mechanics
  • Study the transformation of quantum states between different bases
  • Learn about the mathematical representation of spin states
  • Explore online courses or textbooks on introductory quantum mechanics
USEFUL FOR

Students and educators in physics, particularly those studying quantum mechanics, as well as anyone interested in the mathematical foundations of spin states and their transformations.

usai
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how do i write the z spin state using the spin state on x or on y?
 
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usai said:
how do i write the z spin state using the spin state on x or on y?
:welcome:
Have you tried an Internet search?
 
PeroK said:
Have you tried an Internet search?
He did. He asked us.
 
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@usai you might not find the responses above completely helpful? :) :)

Seriously, kidding aside, PhysicsForums is generally better at helping people over the hard spots than laying out an entire lecture-equivalent tutorial (better done by textbooks and online course materials). So if you can get hold of a good online explanation of the algebra of the spin operators - several out there and some other poster may chime in with their favorite - and start in on it, come back with a more focused question as soon as you hit a hard spot you'll get better and more helpful answers.

Another way of thinking about it: Suppose you are taking a college-level intro to QM course as part of a physics bachelor's degree (which is about right for this topic and consistent with the I rating you gave the thread). You walk into your professor/TA's office during office hours with this question, the absolute first thing you're going to hear is "How far into the textbook/course notes did you get?". Same thing here, except with the general unstructuredness of the internet layered on top.
 

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