105 citations · 929 across the 36 of their papers we have counts for
5 papers · 1 filter
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…
PT symmetry breaking and explicit expressions for the pseudo-norm in the Scarf II potential
G. Levai, F. Cannata, A. Ventura
Closed expressions are derived for the pseudo-norm, norm and orthogonality relations for arbitrary bound states of the PT symmetric and the Hermitian Scarf II potential for the fir…