Programming Langauages for Research in Quantum Mechanics

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For a second-year physics undergraduate interested in quantum physics research, the choice of programming language is crucial and varies based on specific research areas. While Mathematica is user-friendly and requires minimal coding, Matlab is considered highly useful for quantum research. Competence in programming is essential, and starting with languages like C++ and Python is recommended. C++ is powerful for high-performance applications but complex, while Python and Matlab are effective for numerical tasks and easier to use. For computational condensed matter physics, Fortran and C++ are preferred for intensive computations, whereas Python and Matlab can suffice for lighter tasks. In high-energy physics, C++ and Fortran remain relevant, but existing libraries often allow researchers to adapt pre-written code rather than develop new algorithms from scratch. Overall, a solid foundation in programming will enhance research capabilities in quantum physics.
rshalloo
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Hey, I'm a second year physics undergrad and I'm interested in doing research in quantum Physics after I graduate. I'm just wondering what programming language I should be focusing on to enable me to carry out such research I've done introductory courses for Mathematica, Matlab and C++ and so far have found Mathematica nicest to use (as it involves the least amount of 'real' coding) although Matlab would seem to me to be most useful for Quantum research. But I'd love to your opinions! also is a high level of programming knowledge needed? Do I need to bother doing more courses in any programming languages?

Thanks!
 
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This completely depends on what you are up to. Different areas of quantum physics may require anything from Fortran over C++ over Python/Matlab to Mathematica/ML/LISP etc. Your best bet is to become a competent programmer; for that you typically want to start with one or two languages (e.g., C++ and Python or C++ and Mathematica seem like good combinations to me).

Some notes on the languages:
- Fortran: Ugly language, very bad to start with. Used for hardcore number crunching in many areas (e.g., quantum chemistry, solid state physics, and other electronic structure stuff).

- C++: The most complicated language ever invented. Very powerful if used right, able to create horrific abominations if used wrong. Useful for all kinds of high-performance code (if used right), low-level to high-level. Useful for building *large* applications with many million lines of code (most major Programs in Windows, and a great part of Windows itself are written in C++).

- Python/Matlab: Can be used more-or-less interchangably in the numerics department (Python with numpy and scipy). Both are very powerful and very easy to use "glue" languages (languages you mainly use to glue library functions together). Usually the best way to get something to work, fast. Python has the advantage of being somewhat cleaner and freely available and also being useful for many things besides numerics; but in the numerics department it is less powerful than Matlab.

- Mathematica/ML/LISP: Functional languages which are mainly useful for symbolic algebra. (that is, if you have to write your symbolic algebra routines yourself, which, in fact, often happens).
 
rshalloo said:
Hey, I'm a second year physics undergrad and I'm interested in doing research in quantum Physics after I graduate. I'm just wondering what programming language I should be focusing on to enable me to carry out such research I've done introductory courses for Mathematica, Matlab and C++ and so far have found Mathematica nicest to use (as it involves the least amount of 'real' coding) although Matlab would seem to me to be most useful for Quantum research. But I'd love to your opinions! also is a high level of programming knowledge needed? Do I need to bother doing more courses in any programming languages?

Thanks!

Well "quantum physics" isn't actually a field. People work on the foundations and interpretation of quantum mechanics (but they don't use computers), however, the science/math has basically been done for about 60 years. Condensed Matter is the largest field of physics (according to the American Physical Society) and concerns the *emergent* phenomena that occur in system of MANY quantum mechanical particles. Specifically how individual quantum mechanical particles cooperate to make phase of matter with drastically different properties, from superconductors to Bose-Einstein condensates, metals to semiconductors. This is a field which uses a lot of computing (in fact I work in computational condensed matter). Generally, the only options for hardcore computations are FORTRAN or C++. However, for lighter computations (i.e. if you're not actually trying to simulate larger systems than anyone has before or some such but just want to use some standard techniques for, say, a new type of system) then people use things like Python, Java and MATLAB along with some pretty advanced libraries for numerical computation (like BLAST)

However, if by "quantum physics" you mean quantum field theory and particle physics (i.e. high-energy physics) then these simulations tends to be things like lattice gauge theory and such. For this you still can't go wrong with C++ and FORTRAN but I feel like there are a lot more libraries that have developed over the decades. In other words, you are less likely to write completely new code and more likely to cobble together codes that others have written and train them to a new situation. In such a case the actual language you use matters little unless you actually want to change these libraries in which case you need to know the programming language they were written in (often something awful like FORTRAN 77).
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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