14 citations · 38 across the 4 of their papers we have counts for
4 papers
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 the exact solutions of the Lipkin-Meshkov-Glick model
N. Debergh, Fl. Stancu
We present the many-particle Hamiltonian model of Lipkin, Meshkov and Glick in the context of deformed polynomial algebras and show that its exact solutions can be easily and natur…
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…