List of topics that theoretical physicist has to master?

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Discussion Overview

The discussion centers around the topics that a theoretical physicist should master, encompassing both mathematics and physics. Participants share their educational backgrounds and course outlines, while also exploring the variability in curricula based on personal interests and departmental focuses.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant, an engineering physics undergraduate, seeks a comprehensive list of topics essential for theoretical physics, emphasizing the importance of a strong theoretical foundation.
  • A third-year physics student shares their course outline, detailing subjects studied in their first three years, including classical mechanics, quantum mechanics, and various advanced mathematics topics.
  • Another participant notes that course outlines may depend on departmental research focuses and personal interests, suggesting that mastering mathematics is beneficial for those pursuing theoretical physics.
  • Questions arise regarding the definition of "Advanced Calculus," with some participants suggesting it may include vector calculus, multivariable calculus, or differential equations.
  • There is a discussion about the variability of what constitutes advanced calculus across different institutions, with some suggesting it serves as a simplified version of undergraduate analysis.
  • A later reply indicates that the specific areas of theoretical physics one wishes to pursue (e.g., high-energy physics vs. condensed matter theory) will significantly influence the required curriculum.

Areas of Agreement / Disagreement

Participants express varying opinions on the necessary topics for theoretical physics, with no consensus on a definitive list. There is acknowledgment of differing educational paths based on personal interests and departmental focuses.

Contextual Notes

Limitations include the lack of a standardized curriculum for theoretical physics across institutions, and the discussion reflects a range of interpretations regarding advanced mathematics courses.

PHR
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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.
 
Last edited:
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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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