40 citations · 105 across the 9 of their papers we have counts for
9 papers
On supersymmetries in nonrelativistic quantum mechanics
J. Beckers, N. Debergh, A. G. Nikitin
One-dimensional nonrelativistic systems are studied when time-independent potential interactions are involved. Their supersymmetries are determined and their closed subsets generat…
Non-Hermitian oscillator-like Hamiltonians and -coherent states revisited
J. Beckers, J. F. Cariñena, N. Debergh +1
Previous -deformed {\it non-Hermitian} Hamiltonians with respect to the usual scalar product of Hilbert spaces dealing with harmonic oscillator-like developments are (re)conside…
On oscillatorlike Hamiltonians and squeezing
J. Beckers, N. Debergh, F. H. Szafraniec
Generalizing a recent proposal leading to one-parameter families of Hamiltonians and to new sets of squeezed states, we construct larger classes of physically admissible Hamiltonia…
On oscillatorlike developments and further improvements in squeezing
J. Beckers, N. Debergh, F. H. Szafraniec
A recent proposal of new sets of squeezed states is seen as a particular case of a general context admitting realistic physical Hamiltonians. Such improvements reveal themselves he…
On realizations of nonlinear Lie algebras by differential operators
J. Beckers, Y. Brihaye, N. Debergh
We study realizations of polynomial deformations of the sl(2,R)- Lie algebra in terms of differential operators strongly related to bosonic operators. We also distinguish their fin…
On Generalized Quantum Deformations and Symmetries in Quantum Mechanics
Jules Beckers
Supersymmetric and parasupersymmetric quantum mechanics are now recognized as two further parts of quantum mechanics containing a lot of new informations enlightening (solvable) ph…