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In addition to obtain ordinary SUSY representation related to the partner
Hamiltonians, three other non-ordinary SUSY representations for the
quantum states of 1D Woods-Saxon and periodic Scarf potentials are
obtained by the factorization methods. The ordinary SUSY representation
induces laddering relations for these two models with respect to the
parameters
$n$ and $m$ that are introduced in the paper, respectively. One
of the non-ordinary SUSY representations involves the laddering relations
of the two models with respect to the parameters $m$ and $n$, respectively.
Also, the other two of them induce laddering relations with respect to the
parameters $n$
and $m$ simultaneously and inversely as well as simultaneously and
agreeably.
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