- #1
doublemint
- 141
- 0
Hello Again!
My question:
Find the bound energy spectrum of the potential that contains two delta-function
wells: [tex]V(x) = -V_{0}\delta(x-\frac{a}{2}) -V_{0}\delta(x+\frac{a}{2})[/tex] under the assumption that the wells are located very far away from each other. Find and plot the associated stationary states. Verify that your result is consistent with that for a single well in the limit of infinite a.
I pretty much followed Griffith's method in solving for the energy spectrum. However, would the assumption that the wells are really far from each other affect the calculations?
Also, how would you do verify the result using a single well?
Any help would be appreciated!
Thanks
DoubleMint
My question:
Find the bound energy spectrum of the potential that contains two delta-function
wells: [tex]V(x) = -V_{0}\delta(x-\frac{a}{2}) -V_{0}\delta(x+\frac{a}{2})[/tex] under the assumption that the wells are located very far away from each other. Find and plot the associated stationary states. Verify that your result is consistent with that for a single well in the limit of infinite a.
I pretty much followed Griffith's method in solving for the energy spectrum. However, would the assumption that the wells are really far from each other affect the calculations?
Also, how would you do verify the result using a single well?
Any help would be appreciated!
Thanks
DoubleMint