Off the top of their head, does anyone know how many bound states the potential v(x)=-c[d(x+a)+d(x-a)] might have?(adsbygoogle = window.adsbygoogle || []).push({});

I went through the problem as follows: got a growing exponential to the left of -a, got a growing plus a decaying exponential inbetween -a and a, and a decaying exponential to the right of a.

I set them equal to eachother at the delta barriors (aka the one left of -a equal to the one inside, and the one right of a equal to the one inside).

I then solved the schrodinger equation for both of the barriors, and then normalized the three components.

With this set of equations i did 2pgs of alegbra lol, and finally got a E equal to -[(16ma^3)/(2h^2)+4a+(h^2)/(2m))

i dont knwo how to interpret this energy for the number of bound states, because its always negative (i think). So either its all wrong :( or that is the one and only state, or what? i really dont know if my strategy or my excecution is right, Please help!!!

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# Homework Help: Double Delata Function Potential

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