Equations for entanglement and the double slit experiment for a tattoo design

[ddd123]

Aha I was trying to do that, thanks.

 

[renkma]

So far I like the look of Kith's version. I see it's gotten a couple of thumbs up. I would really like to see a couple more thumbs up before taking it into Photoshop, and then tattooing it into skin. Hopefully a few more might see this thread and weigh in.

Best all ...

But for the tatoo, I think I would drop the $\frac{1}{\sqrt{2}}$ completely. $|\Psi \rangle = |\uparrow \downarrow \rangle + |\downarrow \uparrow \rangle$ is much more beautiful to me and it isn't wrong. It uses a different convention which makes calculations more inconvenient, but it captures the essence of entanglement just like the other one. Arguably even more because of its simpler form. Also your second equation seems to already use the same convention.

 

[kith]

@renkma, you can send people a notification by writing an "@" in front of their name. So if you want the opinions of other people who have commented earlier in your thread, you can call them like this: @Geofleur @Nugatory @cgk @dipole

Also you should include Demystifier's suggestion (as you already did in your first photoshop version). The excess of space between the horizontal bar and the arrow isn't intentional, it is an artifact of using simplistic typesetting.

 

[atyy]

I too like kith's suggestion of dropping the 1/2, and Demystifier's version (post #30) of kith's suggestion looks good to me.

 

[renkma]

Excellent. I'm going with the double slit experiment equation I originally posted in #21 ,
and the following from post #30 (originally Kith's suggestion) for my entanglement.

A minor improvement:
$| \Psi \rangle = |\! \uparrow \downarrow \rangle + |\! \downarrow \uparrow \rangle$
(I reduced the space between "|" and the arrow. In Latex this is done by \! command, which often makes equations look better.)

Thank you everyone for getting involved and helping me out. I so appreciate it. I will post the tattoos when they are completed.