Peculiarities of the hidden nonlinear supersymmetry of Pöschl-Teller system in the light of Lamé equation
نویسندگان
چکیده
A hidden nonlinear bosonized supersymmetry was revealed recently in Pöschl-Teller and finite-gap Lamé systems. In spite of the intimate relationship between the two quantum models, the hidden supersymmetry in them displays essential differences. In particular, the kernel of the supercharges of the Pöschl-Teller system, unlike the case of Lamé equation, includes nonphysical states. By means of Lamé equation, we clarify the nature of these peculiar states which encode information on the original Pöschl-Teller system and its modifications.
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