8 citations · 43 across the 18 of their papers we have counts for
6 papers · 1 filter
Exactly solvable -body quantum systems with in the dimensional space
A. Bachkhaznadji, M. Lassaut
We study the exact solutions of a particular class of confined particles of equal mass, with in the dimensional space. The particles are clustered…
Solvable few-body quantum problems
A. Bachkhaznadji, M. Lassaut
This work is devoted to the study of some exactly solvable quantum problems of four, five and six bodies moving on the line. We solve completely the corresponding stationary Schröd…
Extending the four-body problem of Wolfes to non-translationally invariant interactions
A. Bachkhaznadji, M. Lassaut
We propose and solve exactly the Schrödinger equation of a bound quantum system consisting in four particles moving on a real line with both translationally invariant four particle…
Piecewise constant potentials and discrete ambiguities
Monique Lassaut, Roland Jean Lombard
This work is devoted to the study of discrete ambiguities. For parametrized potentials, they arise when the parameters are fitted to a finite number of phase-shifts. It generates p…
Using mixed data in the inverse scattering problem
M. Lassaut, S. Y. Larsen, S. A. Sofianos +1
Consider the fixed- inverse scattering problem. We show that the zeros of the regular solution of the Schrödinger equation, , which are monotonic functions of the e…
Critical strength of attractive central potentials
Fabian Brau, Monique Lassaut
We obtain several sequences of necessary and sufficient conditions for the existence of bound states applicable to attractive (purely negative) central potentials. These conditions…