20 citations · 20 across the 1 of their papers we have counts for
3 papers
math-ph2005★ 20 cited
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…
quant-ph2001
Darboux transformations and hidden quadratic supersymmetry of the one-dimensional stationary Dirac equation
N. Debergh, A. A. Pecheritsin, B. F. Samsonov +1
A matricial Darboux operator intertwining two one-dimensional stationary Dirac Hamiltonians is constructed. This operator is such that the potential of the second Dirac Hamiltonian…
quant-ph2000
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…