activity
19922012
most citedSchrödinger operators with complex potential but real spectrum

295 citations · 1.9k across the 43 of their papers we have counts for

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Showing 2006Show all

6 papers · 1 filter

nucl-ex2006

Bimodal pattern in the fragmentation of Au quasi-projectiles

M. Bruno, F. Gulminelli, F. Cannata +3

Signals of bimodality have been investigated in experimental data of quasi-projectile decay produced in Au+Au collisions at 35 AMeV. This same data set was already shown to present…

math-ph2006★ 47 cited

Non-linear Supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians: I. General properties

A. A. Andrianov, F. Cannata, A. V. Sokolov

We study complex potentials and related non-diagonalizable Hamiltonians with special emphasis on formal definitions of associated functions and Jordan cells. The nonlinear SUSY for…

quant-ph2006★ 105 cited

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…

quant-ph2006★ 10 cited

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…

gr-qc2006★ 38 cited

Complex Lagrangians and phantom cosmology

A. A. Andrianov, F. Cannata, A. Y. Kamenshchik

Motivated by the generalization of quantum theory for the case of non-Hermitian Hamiltonians with PT symmetry, we show how a classical cosmological model describes a smooth transit…

gr-qc2006★ 21 cited

Networks of cosmological histories, crossing of the phantom divide line and potentials with cusps

Francesco Cannata, Alexander Y. Kamenshchik

We discuss the phenomenon of the smooth dynamical gravity induced crossing of the phantom divide line in a framework of simple cosmological models where it appears to occur rather…