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Proof to count bound state nodes in supersymmetric quantum mechanics

    https://doi.org/10.1142/S0217732324502109Cited by:0 (Source: Crossref)

    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 provide an elegant and self-sufficient way to derive the equality of internal nodes amount to the number of consequent excitations.

    PACS: 11.30.Pb, 03.65.−w