95 citations · 579 across the 14 of their papers we have counts for
13 papers
Spectral singularities for Non-Hermitian one-dimensional Hamiltonians: puzzles with resolution of identity
A. A. Andrianov, F. Cannata, A. V. Sokolov
We examine the completeness of bi-orthogonal sets of eigenfunctions for non-Hermitian Hamiltonians possessing a spectral singularity. The correct resolutions of identity are constr…
Symmetries and the cosmological constant puzzle
A. A. Andrianov, F. Cannata, P. Giacconi +2
We outline the evaluation of the cosmological constant in the framework of the standard field-theoretical treatment of vacuum energy and discuss the relation between the vacuum ene…
Perturbation theory of PT-symmetric Hamiltonians
E. Caliceti, F. Cannata, S. Graffi
In the framework of perturbation theory the reality of the perturbed eigenvalues of a class of $\PT$symmetric Hamiltonians is proved using stability techniques. We apply this metho…
Non-Hermitian Quantum Mechanics of Non-diagonalizable Hamiltonians: puzzles with self-orthogonal states
A. V. Sokolov, A. A. Andrianov, F. Cannata
We consider QM with non-Hermitian quasi-diagonalizable Hamiltonians, i.e. the Hamiltonians having a number of Jordan cells in particular biorthogonal bases. The "self-orthogonality…
Exactly Solvable Two-Dimensional Complex Model with Real Spectrum
F. Cannata, M. V. Ioffe, D. N. Nishnianidze
Supersymmetrical intertwining relations of second order in derivatives allow to construct a two-dimensional quantum model with complex potential, for which {\it all} energy levels…
CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C
B. Bagchi, A. Banerjee, E. Caliceti +4
A brief overview is given of recent developments and fresh ideas at the intersection of PT and/or CPT-symmetric quantum mechanics with supersymmetric quantum mechanics (SUSY QM). W…