183 citations · 320 across the 15 of their papers we have counts for
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Exact Propagators for Soliton Potentials
Andrey M. Pupasov, Boris F. Samsonov
Using the method of Darboux transformations (or equivalently supersymmetric quantum mechanics) we obtain an explicit expression for the propagator for the one-dimensional Schröding…
SUSY transformation of the Green function and a trace formula
B F Samsonov, C V Sukumar, A M Pupasov
An integral relation is established between the Green functions corresponding to two Hamiltonians which are supersymmetric (SUSY) partners and in general may possess both discrete…
Spectral singularities of non-Hermitian Hamiltonians and SUSY transformations
Boris F Samsonov
Simple examples of non-Hermitian Hamiltonians with purely real spectra defined in having spectral singularities inside the continuous spectrum are given. It is shown tha…
Quadratic pseudosupersymmetry in two-level systems
Boris F Samsonov, V V Shamshutdinova
Using the intertwining relation we construct a pseudosuperpartner for a (non-Hermitian) Dirac-like Hamiltonian describing a two-level system interacting in the rotating wave approx…
SUSY transformations between digonalizable and non-diagonalizable Hamiltonians
B F Samsonov
Recently (see quant-ph/0503040) an explicit example has been given of a PT-symmetric non-diagonalizable Hamiltonian. In this paper we show that such Hamiltonians appear as supersym…