By entirely factoring out the spin component of the problem (as the singlet and triplet states will be degenerate), we can treat the two electrons as distinguishable particles, with one electron located in the left well and the other electron situated in the right well. After dividing the Hamiltonian into two distinguishable subsystems \( L \) and \( R \), we establish two sinc-DVR (Discrete Variable Representation) basis sets, one for each well.