30 points) consider a particleof mass min the following scenarios and answer the following questions: are there any bound states? how many? are there any scattering states? always explain! a.(5 points) single delta-function potential well of strength α.
a. (5 points) single delta-function potential well of strength
b. (5 points) single delta-function potential barrier of strength.
c. (5 points) double delta-function potential well of strength
d. (5 points) double delta-function potential barrier of strength
e. (5 points) infinite u-shaped potential well (i. e. v(x) is a semicircle + infinite vertical walls).
f. (5 points) shallow, narrow finite square well.