%0 Journal Article
%A González López, Artemio
%A Tanaka, Toshiaki
%T Nonlinear pseudo-supersymmetry in the framework of N-fold supersymmetry
%D 2006
%@ 0305-4470
%U https://hdl.handle.net/20.500.14352/51544
%X We recall the importance of recognizing the different mathematical nature of various concepts relating to PT -symmetric quantum theories. After clarifying the relation between supersymmetry and pseudo-supersymmetry, we prove generically that nonlinear pseudo-supersymmetry, recently proposed by Sinha and Roy, is just a special case of N -fold supersymmetry. In particular, we show that all the models constructed by these authors have type A 2-fold supersymmetry. Furthermore, we prove that an arbitrary one-body quantum Hamiltonian which admits two (local) solutions in closed form belongs to type A 2-fold supersymmetry, irrespective of whether or not it is Hermitian, PT -symmetric, pseudo-Hermitian, and so on.
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