295 citations · 1.9k across the 43 of their papers we have counts for
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Non-local PT-symmetric potentials in the one-dimensional Dirac equation
Francesco Cannata, Alberto Ventura
The Dirac equation in (1+1) dimensions with a non-local PT-symmetric potential of separable type is studied by means of the Green function method: properties of bound and scatterin…
Overcritical PT-symmetric square well potential in the Dirac equation
Francesco Cannata, Alberto Ventura
We study scattering properties of a PT-symmetric square well potential with real depth larger than the threshold of particle-antiparticle pair production as the time component of a…
Scattering in PT-symmetric quantum mechanics
F. Cannata, J. -P. Dedonder, A. Ventura
A general formalism is worked out for the description of one-dimensional scattering in non-hermitian quantum mechanics and constraints on transmission and reflection coefficients a…
Scattering by PT-symmetric non-local potentials
Francesco Cannata, Alberto Ventura
A general formalism is worked out for the description of one-dimensional scattering by non-local separable potentials and constraints on transmission and reflection coefficients ar…
A New Class of PT-symmetric Hamiltonians with Real Spectra
F. Cannata, M. Ioffe, R. Roychoudhury +1
We investigate complex PT-symmetric potentials, associated with quasi-exactly solvable non-hermitian models involving polynomials and a class of rational functions. We also look fo…
Intertwining relations of non-stationary Schrödinger operators
F. Cannata, M. Ioffe, G. Junker +1
General first- and higher-order intertwining relations between non-stationary one-dimensional Schrödinger operators are introduced. For the first-order case it is shown that the in…