List of topics that theoretical physicist has to master?

AI Thread Summary
The discussion centers on the academic path for students interested in theoretical physics, particularly those transitioning from applied physics programs. A user expresses a desire for a solid theoretical foundation and requests a list of essential topics in both mathematics and physics for aspiring theoretical physicists. Another participant shares their course outline, detailing a progression through classical mechanics, quantum mechanics, and advanced mathematics, highlighting the importance of aligning course choices with personal interests and departmental research focus. The conversation also touches on the ambiguity of terms like "advanced calculus," with clarifications that it may refer to differential equations or multivariable calculus, depending on the institution. The importance of mastering mathematics is emphasized for those pursuing theoretical physics, noting that different areas of theoretical study, such as high-energy physics versus condensed matter physics, may require distinct curricula.
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hello guys, this is my first post here..
i am a engineering physics undergraduate.
however i hv more interest in theoretical physics and i want to hv further study in theoretical physics. The subjects taught in my programme is like applied physics which do not hv so much theory.
I think having a good foundation of theory is extremely important.
So, i would like a ask for a list of topics that theoretical physicist has to master.
(both Mathematics and Physics topics)
also, any physics undergraduate can share their programme list?

thank you.
 
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Course Outline

Hi There

I am currently studying physics and am in my 3rd year. Going to probably go the nuclear/theoretical stream!

With regard to my course outline:

1st year: Physics - Classical mechanics, Electricity & Magnetism, Optics, Thermodynamics
Maths - Calculus , Linear Algebra

2nd year: Physics - Advanced mechanics,Electricity/magnetism, optics. Intro
Quantum physics. Computational Physics
Maths - Advanced Calculus, Advanced Linear Algebra

3rd year: Physics - Quantum Mechanics, Magnetism, Statistical/Thermal Physics,
Relativity, Atomic & Nuclear physics, experimental physics.
Maths - Complex Analysis, Intro Topology

In my own opinion, your course outline would depend on a) the focus of your physics department's research (for example our department does not research astrophysics directly, hence there are no specific astronomy and general relativity courses) , b) Your own interests. i.e Your course choices in maths or physics will ultimately be reflected on your own long term interests. If you want to go a theoretical route then I guess mastering as much maths as you can will benefit you, but like I said i still think it depends on what you would eventually like to do.

Hope this helps!

R
 
This is a good thread idea, thanks for posting. ^_^
 
Riaan said:
Hi There



:

1st year: Physics - Classical mechanics, Electricity & Magnetism, Optics, Thermodynamics
Maths - Calculus , Linear Algebra

2nd year: Physics - Advanced mechanics,Electricity/magnetism, optics. Intro
Quantum physics. Computational Physics
Maths - Advanced Calculus, Advanced Linear Algebra

3rd year: Physics - Quantum Mechanics, Magnetism, Statistical/Thermal Physics,
Relativity, Atomic & Nuclear physics, experimental physics.
Maths - Complex Analysis, Intro Topology

In my own opinion, your course outline would depend on a) the focus of your physics department's research (for example our department does not research astrophysics directly, hence there are no specific astronomy and general relativity courses) , b) Your own interests. i.e Your course choices in maths or physics will ultimately be reflected on your own long term interests. If you want to go a theoretical route then I guess mastering as much maths as you can will benefit you, but like I said i still think it depends on what you would eventually like to do.

Hope this helps!

R

what is Advanced calculus? Real analysis?
 
Sounds like Vector calculus and multivariable calculus to me. It might be differential equations
 
Benzoate said:
what is Advanced calculus? Real analysis?

It differs from school to school; on the list in question, it would presumably be differential equations, multivariate calculus, etc. (as Hydragyrum says). At other schools, advanced calculus is an upper-division (i.e., 3rd or 4th year) course that it essentially undergraduate analysis for dummies. That is to say that actual math majors take a full-blown analysis course, and everyone else who's interested takes advanced calculus. Typical physics majors would not take either.
 
The actual answer to the OP depends on which area of theory you actually want to pursue. HEP theory would have a very different graduate curricula than CM theory.
 
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