A particle of mass m is subject to an attractive double-delta potential V(x)=−V0δ(x−a)−V0δ(x+a), where V0>0. Consider only the case of negative energies.
(a) Obtain the wave functions of the bound states.
(b) Derive the eigenvalue equations.
(c) Specify the number of bound states and the limit on their energies. Is the ground state an even state or an odd state?
(d) Estimate the ground state energy for the limits a→0 and a→∞.