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.

 

[Matrix0]

, it sounds like you have already taken some important steps towards a career in theoretical physics by studying various topics in physics and mathematics. As you pursue a PhD in theoretical physics, there are a few key areas that you may want to consider focusing on in your studies.

Firstly, it would be beneficial to continue building a strong foundation in classical mechanics, quantum mechanics, and electrodynamics. These are fundamental areas of physics that are crucial for understanding more advanced concepts in theoretical physics. Additionally, you may want to explore more specialized topics within these areas, such as quantum field theory, statistical mechanics, and general relativity.

In terms of mathematics, it would be helpful to continue developing your skills in multivariable calculus, differential equations, and linear algebra. These are essential tools in theoretical physics and will be used extensively in your research. You may also want to consider learning more about topics such as group theory, differential geometry, and complex analysis, as these are commonly used in theoretical physics.

In addition to studying specific topics in physics and math, it would also be beneficial to gain research experience. This could include participating in research projects with professors or working on independent projects. This will not only help you develop your skills and knowledge, but it will also give you a better understanding of what it's like to work in theoretical physics.

Ultimately, the best way to determine what you should learn next is to talk to professors and researchers in the field. They can offer valuable insights and guidance based on their own experiences and current trends in the field. Additionally, staying up to date on current research and attending conferences and seminars can also help you identify areas of interest and potential research topics.

Good luck in your pursuit of a career in theoretical physics! Remember to always stay curious and continue seeking out new knowledge and opportunities to grow in your field.