RT Journal Article
T1 Nonlinear pseudo-supersymmetry in the framework of N-fold supersymmetry
A1 González López, Artemio
A1 Tanaka, Toshiaki
AB 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.
PB IOP Publishing
SN 0305-4470
YR 2006
FD 2006-04-07
LK https://hdl.handle.net/20.500.14352/51544
UL https://hdl.handle.net/20.500.14352/51544
LA eng
NO ©IOP Publishing.This work was partially supported by Spain’s DGI under the grant No. BFM2002-02646 (AG-L) as well as by the National Science Council of the Republic of China under the grant No. NSC-93-2112-M-032-009 (TT).
NO DGI, Spain
NO National Science Council of the Republic of China
DS Docta Complutense
RD 19 abr 2025