Proof to count bound state nodes in supersymmetric quantum mechanics

Abstract

A normalizable static supersymmetric bound ground state annihilated by the super-generators has got zero number of internal nodes in the framework of one-dimensional supersymmetric quantum mechanics. The super-generator transformations between excited super-partner bound states as combined with the standard technique of Wronskian provides an elegant and self-sufficient way to derive the equality of internal nodes amount to the number of consequent excitation.