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

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The discussion centers around preparing for a master's degree interview, specifically focusing on advanced study materials for the Hydrogen atom and Kepler's laws. Participants recommend specific books to achieve a high-level understanding of these topics. For the Hydrogen atom, Herzberg's work is suggested. Regarding Kepler's laws, "Classical Mechanics" by Marion is mentioned, with some emphasizing the need for a deeper exploration into Hamiltonian mechanics, including Hamilton-Jacobi theory. Additional recommendations include Goldstein's second edition for analytical mechanics and problem books by Kotking & Serbo and Gignoux & Silvestre-Brac that cover relevant advanced concepts. The conversation highlights the importance of defining "high level" in the context of the required study depth.
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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Hydrogen? Herzberg.
 
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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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.
 

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