Books recommendation covering the Hydrogen atom and Kepler's laws (separately)

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raeed
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Hi, I have an interview for masters degree program in 2 weeks and they asked to study two subjects thoroughly, first being Hydrogen atom and second being Kepler's laws. anyone recommends one book about each subject with advanced level questions that would help me understand the subjects to a high level?

Thanks
 
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raeed said:
Hi, I have an interview for masters degree program in 2 weeks and they asked to study two subjects thoroughly, first being Hydrogen atom and second being Kepler's laws. anyone recommends one book about each subject with advanced level questions that would help me understand the subjects to a high level?

Thanks

Define "high level".
Classical mechanics by Marion covers Keplers law (as most books in mechanics do) in terms of Newton's laws, is that enough or do you need more advanced stuff like Hamilton-Jacobi and angle-action variables?
 
andresB said:
Define "high level".
Classical mechanics by Marion covers Keplers law (as most books in mechanics do) in terms of Newton's laws, is that enough or do you need more advanced stuff like Hamilton-Jacobi and angle-action variables?
More focused on the Hamiltonian mechanics.
 
raeed said:
More focused on the Hamiltonian mechanics.
I think most books on analytical mechanics do that.
Anyways, Goldstein 2ed covers a good ground, including the Halmilton-Jacobi. Sommerfeld's mechanics might be a good read.

Kotking & Serbo, and Gignoux & SIvestre-Brac have problem books that include Kepler, Hamilton and Hamilton-Jacobi.