GSOC 2012 : Quantum Module

[Anurag Kar]

Hi,

 I'm Anurag, a Physics student from the Indian Institute of Technology, Kanpur. I work on computational problems in quantum physics using various algorithms to solve the Schrodinger's equation. I would like to work on implementing position and momentum basis functions in sympy's Quantum module. 

 I've read the project idea and  I think that along with the position and momentum basis kets and the respective operators 'X' 'P', it would be nice if we could define other operators like the Hamiltonian 'H', Kinetic energy 'T' and Potential 'V' in terms of the X and P operators which would surely help when solving cases like H atom or a Simple Harmonic oscillator. Other than that, defining a Fourier transformation from x to p will be useful and Implementing more advanced stuff like Time independent perturbations  can be used to study energy level splitting.

[Brian Granger]

Anurag,

Welcome!

>  I'm Anurag, a Physics student from the Indian Institute of Technology,
> Kanpur. I work on computational problems in quantum physics using various
> algorithms to solve the Schrodinger's equation. I would like to work on
> implementing position and momentum basis functions in sympy's Quantum
> module.

The best starting place with this is to look at the work that was done
last summer on this. To do that you will need to dig into the code in
sympy.physics.quantum yourself and learn it inside and out. Also
check out this pull request which has the rest of Tomo's work from
last summer:

https://github.com/sympy/sympy/pull/573

I don't want to discourage you but this stuff is pretty complex and
will require a significant effort on your part to figure out where
things are at.

Cheers,

Brian

>  I've read the project idea and  I think that along with the position and
> momentum basis kets and the respective operators 'X' 'P', it would be nice
> if we could define other operators like the Hamiltonian 'H', Kinetic energy
> 'T' and Potential 'V' in terms of the X and P operators which would surely
> help when solving cases like H atom or a Simple Harmonic oscillator. Other
> than that, defining a Fourier transformation from x to p will be useful and
> Implementing more advanced stuff like Time independent perturbations  can be
> used to study energy level splitting.
>

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--
Brian E. Granger
Cal Poly State University, San Luis Obispo
bgra...@calpoly.edu and elli...@gmail.com