Implement All Known Analytical Solutions to Quantum Mechanical Systems

[Manish Shukla]

Hello

I am Manish Shukla. I am 3rd year undergraduate student enrolled in dual degree(B.tech CSE + MS(by research) Quantum Computation and dynamics) at IIIT-Hyderabad , I am currently  working in solving various time dependent and time independent quantum systems. I would like to contribute to the project on getting solutions of quantum mechanical systems , i would like to extend the model to solving particle in finite well , and particle on a ring and then would also like to work on model of an expanding box where we can introduce time dependency. I have downloaded the sympy code and I am going through the examples. Where should i start with now?

[Ondřej Čertík]

Hi Manish,

I would look into what's been done here:

https://github.com/sympy/sympy/blob/master/sympy/physics/hydrogen.py
https://github.com/sympy/sympy/blob/master/sympy/physics/qho_1d.py

and similar files and see what's missing. I like your other ideas to implement
wave functions/energies of other simple quantum systems.

Let us know your ideas.

Ondrej

[Sean Vig]

You should also look in the quantum module. You should be using the quantum module for new development. There are some quantum systems built with the quantum machinery in piab (particle in a box), sho1d (1D simple harmonic oscillator), and cartesian (position and momentum).

Sean

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[Manish Shukla]

I tried to implement the solution for particle on ring on the similar lines as of https://github.com/sympy/sympy/blob/master/sympy/physics/hydrogen.py
please have a look at the pull request

https://github.com/sympy/sympy/pull/7308
 
I would be thankful if you could give some feedback.

Manish Shukla