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raeed

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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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raeed

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andresB

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raeed said:

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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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raeed

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More focused on the Hamiltonian mechanics.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?

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andresB

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I think most books on analytical mechanics do that.raeed said:More focused on the Hamiltonian mechanics.

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.

Some recommended books for learning about the Hydrogen atom are "Quantum Mechanics: The Theoretical Minimum" by Leonard Susskind and Art Friedman, "Atomic Physics" by Christopher Foot, and "The Hydrogen Atom: Precision Physics of Simple Atomic Systems" by Savely G. Karshenboim.

Yes, there are several books that explain Kepler's laws in a simple and accessible way. Some examples include "Kepler's Laws: The Physics of Planetary Motion" by David E. Cartwright, "The Cosmic Code: Quantum Physics as the Language of Nature" by Heinz R. Pagels, and "Kepler's Laws for Beginners" by Gregory L. Matloff.

"The Quantum World: Quantum Physics for Everyone" by Kenneth W. Ford covers both the Hydrogen atom and Kepler's laws in an easy-to-understand manner. Other options include "Atomic Physics: An Exploration through Problems and Solutions" by Dmitry Budker and Derek F. Kimball, and "Quantum Mechanics: A Paradigms Approach" by David H. McIntyre.

"Quantum Mechanics" by David J. Griffiths and "Classical Mechanics" by John R. Taylor are both highly recommended for their in-depth coverage of the mathematical concepts behind the Hydrogen atom and Kepler's laws.

Yes, there are many online resources available for learning about the Hydrogen atom and Kepler's laws. Some websites to check out include Khan Academy, MIT OpenCourseWare, and Physics Classroom, which offer free educational materials and tutorials on these topics.

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