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

In summary, the conversation discusses the need to study two subjects, Hydrogen atom and Kepler's laws, thoroughly for a masters degree interview. The individual is looking for recommendations for advanced level books with questions to gain a high understanding of the subjects. The conversation also mentions the possibility of needing more advanced topics in Hamiltonian mechanics. Some book recommendations are given, including Classical mechanics by Marion, Goldstein 2ed, Sommerfeld's mechanics, and problem books by Kotking & Serbo and Gignoux & SIvestre-Brac.
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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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  • #2
Hydrogen? Herzberg.
 
  • #3
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?
 
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  • #4
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.
 
  • #5
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.
 

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