Hey all,
I'm a first year in engineering grad school who is taking a solid state physics course, and I'm having a tough time with a problem on my first problem set (#3, attached).
I've spoken with my professor, and I was given the following advice:
"write the two wave equations for the twovectors phi and chi, solve for chi in terms of phi, take the nonrelativistic limit. Eigenvalue eqn: H (phi) = E (phi), and you should be able to identify the spinorbit term in H.
Could anyone explain how to even begin this problem? I've attached the relevant information from my class notes, but I don't have much exposure to these types of manipulations so they are pretty obscure to me.
Thank you!
I'm a first year in engineering grad school who is taking a solid state physics course, and I'm having a tough time with a problem on my first problem set (#3, attached).
I've spoken with my professor, and I was given the following advice:
"write the two wave equations for the twovectors phi and chi, solve for chi in terms of phi, take the nonrelativistic limit. Eigenvalue eqn: H (phi) = E (phi), and you should be able to identify the spinorbit term in H.
Could anyone explain how to even begin this problem? I've attached the relevant information from my class notes, but I don't have much exposure to these types of manipulations so they are pretty obscure to me.
Thank you!
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