9 citations · 37 across the 5 of their papers we have counts for
5 papers
QES systems, invariant spaces and polynomials recursions
Y. Brihaye, J. Ndimubandi, B. Prasad Mandal
Let us denote , the finite dimensional vector spaces of functions of the form where and are arbitrary polynomials of degre…
Polynomial deformations of sl(2,R) in a three-dimensional invariant subspace of monomials
N. Debergh, J. Ndimubandi, B. Van den Bossche
New finite-dimensional representations of specific polynomial deformations of sl(2,R) are constructed. The corresponding generators can be, in particular, realized through linear d…
A General Approach of Quasi-Exactly Solvable Schroedinger Equations with Three Known Eigenstates
N. Debergh, J. Ndimubandi, B. Van den Bossche
We propose a general method for constructing quasi-exactly solvable potentials with three analytic eigenstates. These potentials can be real or complex functions but the spectrum i…
A General Approach of Quasi-Exactly Solvable Schroedinger Equations
N. Debergh, J. Ndimubandi, B. Van den Bossche
We construct a general algorithm generating the analytic eigenfunctions as well as eigenvalues of one-dimensional stationary Schroedinger Hamiltonians. Both exact and quasi-exact H…
On a Lie algebraic approach of quasi-exactly solvable potentials with two known eigenstates
Y. Brihaye, N. Debergh, J. Ndimubandi
We compare two recent approaches of quasi-exactly solvable Schr\" odinger equations, the first one being related to finite-dimensional representations of while the second…