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

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SUMMARY

The forum discussion centers on recommendations for advanced-level books covering the Hydrogen atom and Kepler's laws in preparation for a master's degree interview. Key suggestions include "Classical Mechanics" by Marion for Kepler's laws, which discusses Newton's laws, and "Goldstein" (2nd edition) for a comprehensive understanding of Hamiltonian mechanics, including Hamilton-Jacobi theory. Additional recommendations include problem books by Kotking & Serbo, and Gignoux & Silvestre-Brac, which incorporate both topics effectively.

PREREQUISITES
  • Understanding of classical mechanics principles
  • Familiarity with Hamiltonian mechanics
  • Knowledge of quantum mechanics, specifically the Hydrogen atom
  • Ability to solve advanced physics problems
NEXT STEPS
  • Study "Classical Mechanics" by Marion for foundational concepts of Kepler's laws
  • Read "Goldstein" (2nd edition) for insights into Hamiltonian mechanics and Hamilton-Jacobi theory
  • Explore problem-solving techniques in "Kotking & Serbo" and "Gignoux & Silvestre-Brac" for practical applications
  • Investigate advanced quantum mechanics texts focusing on the Hydrogen atom
USEFUL FOR

Students preparing for advanced physics interviews, educators teaching classical and quantum mechanics, and anyone seeking a deeper understanding of the Hydrogen atom and Kepler's laws.

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?
 
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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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