123 citations · 223 across the 4 of their papers we have counts for
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Finite-gap systems, tri-supersymmetry and self-isospectrality
Francisco Correa, Vit Jakubsky, Mikhail S. Plyushchay
We show that an n-gap periodic quantum system with parity-even smooth potential admits isospectral super-extensions. Each is described by a tri-supersymmetry that originate…
Self-isospectrality, special supersymmetry, and their effect on the band structure
Francisco Correa, Vit Jakubsky, Luis-Miguel Nieto +1
We study a planar model of a non-relativistic electron in periodic magnetic and electric fields that produce a 1D crystal for two spin components separated by a half-period spacing…
Hidden nonlinear su(2|2) superunitary symmetry of N=2 superextended 1D Dirac delta potential problem
Francisco Correa, Luis-Miguel Nieto, Mikhail S. Plyushchay
We show that the N=2 superextended 1D quantum Dirac delta potential problem is characterized by the hidden nonlinear superunitary symmetry. The unexpected feature of this…
Peculiarities of the hidden nonlinear supersymmetry of Poschl-Teller system in the light of Lame equation
Francisco Correa, Mikhail S. Plyushchay
A hidden nonlinear bosonized supersymmetry was revealed recently in Poschl-Teller and finite-gap Lame systems. In spite of the intimate relationship between the two quantum models,…