Consider a potential given by the double delta function:
\( V(x) = a[\delta(x + a) + \delta(x - a)] \),
where \( a \) is a positive constant. Determine the number of bound states this potential possesses and find the corresponding allowed energy levels for: \( a = \frac{\hbar^2}{ma} \)
1
3
2
2
3
1
4
0