295 citations · 1.9k across the 43 of their papers we have counts for
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Equidistance of the Complex 2-Dim Anharmonic Oscillator Spectrum: Exact Solution
F. Cannata, M. V. Ioffe, D. N. Nishnianidze
We study a class of quantum two-dimensional models with complex potentials of specific form. They can be considered as the generalization of a recently studied model with quadratic…
Reflectionless PT-symmetric potentials in the one-dimensional Dirac equation
Francesco Cannata, Alberto Ventura
We study the one-dimensional Dirac equation with local PT-symmetric potentials whose discrete eigenfunctions and continuum asymptotic eigenfunctions are eigenfunctions of the PT op…
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…
Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT-symmetry
Emanuela Caliceti, Francesco Cannata, Miloslav Znojil +1
Within CPT-symmetric quantum mechanics the most elementary differential form of the charge operator C is assumed. A closed-form integrability of the related coupled differential se…