Supersymmetric WKB Tunneling Through Triple Finite Square Barrier and Quality of SWKB Quantization Condition

Abstract

Tunneling through a triple finite square barrier is examined in the light of WKB and supersymmetric WKB (SWKB) method. We have studied the quasi-bound states using lowest order WKB and SWKB quantization condition. The resonance energies have a doublet structure which represents a twofold quasi-degeneracy as expected from the symmetry of the three barriers enclosing two identical trapping regions. For very closely spaced low-lying resonance doublets, we find that the SWKB method gives much improved results than the conventional WKB method.