Understanding Spin 1/2 Particles - Writing Expressions

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quantumlooser
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Hello,
I need help understanding spin 1/2 particles and writing down expressions for the amplitidues of spin up/down states as a function of time.
Any help is appreciated or links to other information.
Thanks!
 
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That depends on what hamiltonian etc you have.. if this is a homework question, then post it in the homework forum; the full problem given and your attempt to solution.