10 citations · 37 across the 5 of their papers we have counts for
5 papers
PT-Symmetric, Quasi-Exactly Solvable matrix Hamiltonians
Y. Brihaye, Ancilla Nininahazwe, Bhabani Prasad Mandal
Matrix quasi exactly solvable operators are considered and new conditions are determined to test whether a matrix differential operator possesses one or several finite dimensional…
Extended Jaynes-Cummings models and (quasi)-exact solvability
Y. Brihaye, A. Nininahazwe
The original Jaynes-Cummings model is described by a Hamiltonian which is exactly solvable. Here we extend this model by several types of interactions leading to a nonhermitian ope…
Dirac oscillators and quasi-exactly solvable operators
Y. Brihaye, A. Nininahazwe
The Dirac equation is considered in the background of potentials of several types, namely scalar and vector-potentials as well as "Dirac-oscillator" potential or some of its genera…
Quasi exactly solvable quantum lattice solitons
Y. Brihaye, N. Debergh, A. Nininahazwe
We extend the exactly solvable Hamiltonian describing quantum oscillators considered recently by J. Dorignac et al. by means of a new interaction which we choose as quasi exact…
On PT-symmetric extensions of the Calogero and Sutherland models
Y. Brihaye, Ancilla Nininahazwe
The original Calogero and Sutherland models describe N quantum particles on the line interacting pairwise through an inverse square and an inverse sinus-square potential. They are…