72 citations · 549 across the 33 of their papers we have counts for
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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…
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…
Quasi exactly solvable (QES) equations with multiple algebraisations
Yves Brihaye, Betti Hartmann
We review three examples of quasi exactly solvable (QES) Hamitonians which possess multiple algebraisations. This includes the most prominent example, the Lame equation, as well as…
Quasi exactly solvable operators and Lie superalgebras
Yves Brihaye, Betti Hartmann
Linear operators preserving the direct sum of polynomial rings P(m)\oplus P(n) are constructed. In the case |m-n|=1 they correspond to atypical representations of the superalgebra…