105 citations · 929 across the 36 of their papers we have counts for
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Lie-algebraic interpretation of the maximal superintegrability and exact solvability of the Coulomb-Rosochatius potential in n dimensions
G. A. Kerimov, A. Ventura
The potential group method is applied to the n-dimensional Coulomb-Rosochatius potential, whose bound states and scattering states are worked out in detail. As far as scattering is…
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…
On algebraic models of relativistic scattering
G. A. Kerimov, A. Ventura
In this paper we develop an algebraic technique for building relativistic models in the framework of direct-interaction theories. The interacting mass operator M in the Bakamjian-T…
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…