Programming Langauages for Research in Quantum Mechanics

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SUMMARY

For research in quantum mechanics, programming languages such as C++, Fortran, Python, and MATLAB are essential. C++ is favored for high-performance applications, while Fortran is utilized for hardcore numerical computations in quantum chemistry and condensed matter physics. Python and MATLAB serve as effective tools for lighter computations and numerical analysis. A solid understanding of programming is crucial, with recommendations to focus on C++ and Python or Mathematica for a well-rounded skill set.

PREREQUISITES
  • Proficiency in C++ for high-performance computing
  • Familiarity with Fortran for numerical simulations in quantum chemistry
  • Understanding of Python and MATLAB for numerical analysis and data manipulation
  • Basic knowledge of computational physics concepts
NEXT STEPS
  • Explore advanced C++ techniques for performance optimization
  • Learn numerical libraries in Python such as NumPy and SciPy
  • Study Fortran for legacy code integration in quantum simulations
  • Investigate MATLAB's capabilities for quantum mechanics applications
USEFUL FOR

Physics undergraduates, computational physicists, and researchers in quantum mechanics seeking to enhance their programming skills for effective research applications.

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).
 

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