17 citations · 69 across the 11 of their papers we have counts for
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quant-ph2012★ 13 cited
Unbounded C-symmetries and their nonuniqueness
Carl M. Bender, Sergii Kuzhel
It is shown that if the C operator for a PT-symmetric Hamiltonian with simple eigenvalues is not unique, then it is unbounded. Apart from the special cases of finite-matrix Hamilto…
math-ph2012★ 2 cited
Lax-Phillips scattering theory for PT-symmetric ρ-perturbed operators
Petru A. Cojuhari, Sergii Kuzhel
The S-matrices corresponding to PT-symmetric ρ-perturbed operators are defined and calculated by means of an approach based on an operator-theoretical interpretation of the Lax-Phi…
math-ph2012★ 9 cited
On elements of the Lax-Phillips scattering scheme for PT-symmetric operators
Sergio Albeverio, Sergii Kuzhel
Generalized PT-symmetric operators acting an a Hilbert space are defined and investigated. The case of PT-symmetric extensions of a symmetric operator is investi…