Advancing Towards a Theoretical Physics Career: What's Next?

[shines57]

Question: What's next for me? What should I learn next in physics and math?

(I want a career in theoretical physics - phd route).

I've learned:

Physics: Newtonian Mech w/ calc, Griffith's Intro to Electrodynamics, Goldstein's classical mechanics, griffith's intro to quantum mechanics, and Faber's Fluid Dynamics for Physicists.

Math: multivariable calc, diff equations, partial diff equations, lie algebra, and linear algebra.

Thanks for the advise and help in advance! :)


shines57

 

[espen180]

Physics: Sounds like you are ready for more advanced QM and GR. Try reading Bransden & Joachain, fo example. For GR, maybe Hartle?

Math: Calculus on manifolds? Differential geomtry would help with GR. Some formal education on functional analysis (Hilbert spaces etc) would probably not hurt for QM either.

 

[n10Newton]

If you want to change topics in Physics then go to Statistical Mechanics/Thermodynamics and Oscillation-Waves-Optics. but if you want to do more on your studied topics [which is from Elementry level books] then go to Marion's Mechanics, Jackson's Electrodynamics and Sakurai's Quantum Mechanics.
In Mathematics remaining field Analytical Geometry.

 

[ZombieFeynman]

In what context have you learned these? Undergraduate? Self study? Its an odd range of difficulty of material.