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

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Discussion Overview

The discussion revolves around recommendations for advanced-level books covering the Hydrogen atom and Kepler's laws, as requested by a participant preparing for a master's degree interview. The scope includes theoretical and conceptual understanding of both subjects.

Discussion Character

  • Homework-related
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant suggests "Herzberg" for studying the Hydrogen atom.
  • Another participant questions the definition of "high level" and proposes "Classical Mechanics" by Marion, noting it covers Kepler's laws in the context of Newton's laws.
  • There is a suggestion that more advanced topics like Hamilton-Jacobi and angle-action variables could be necessary for a deeper understanding.
  • Further recommendations include "Goldstein 2ed" for analytical mechanics, which covers Hamilton-Jacobi, and "Sommerfeld's mechanics" as a potential resource.
  • Participants mention problem books by Kotking & Serbo, and Gignoux & Silvestre-Brac that include topics on Kepler, Hamilton, and Hamilton-Jacobi.

Areas of Agreement / Disagreement

Participants express differing views on what constitutes a "high level" understanding, with some advocating for classical mechanics approaches while others suggest more advanced topics. No consensus is reached on the specific book recommendations for each subject.

Contextual Notes

The discussion highlights the ambiguity in defining "high level" and the varying interpretations of what advanced study entails, particularly in relation to the depth of mechanics covered.

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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