- #1

tomdodd4598

- 138

- 13

I am familiar with the mathematics of multi-particle systems, but have now moved on to trying to plot them. I was a little ambitious and thought I'd attempt to somehow plot energy eigenfunctions of two particles in a 2-D box. Obviously I immediately ran into the issue that there are actually four coordinates in the wave function rather than two.

Looking for ideas, I quickly came along the Wikipedia article on identical particles, and found these two plots:

https://en.wikipedia.org/wiki/File:Symmetricwave2.png

https://en.wikipedia.org/wiki/File:Asymmetricwave2.png

All that's said about them are that they are the plot of the "(anti)symmetric wave function for a fermionic/bosonic 2-particle state in an infinite square well potential".

I thought that it may be a 1-D box, with the two axes being the positions of the two particles, but if this is indeed a plot of two particles in a 2-D box, what exactly is being plotted?

Thanks in advance.