7 papers
On "Do the attractive bosons condense?" by N. K. Wilkin, J. M. F. Gunn, R. A. Smith
M. S. Hussein, O. K. Vorov
Using Perron-Frobenius theorem, we prove that the results by Wilkin, Gunn and Smith [1] for the ground states of N Bose atoms rotating at the angular momentum L in a harmonic atomi…
Effect of symmetry breaking on level curvature distributions
M. S. Hussein, C. P. Malta, M. P. Pato +1
We derive an exact general formalism that expresses the eigenvector and the eigenvalue dynamics as a set of coupled equations of motion in terms of the matrix elements dynamics. Co…
Collective Excitation of a Hybrid Atomic/Molecular Bose Einstein Condensate
Chi-Yong Lin, M. S. Hussein, A. F. R. de Toledo Piza +1
The collective excitation of hybrid atomic-molecular condensate are studied using variational method. The dipole response of the system is studied in detail. We found that the out-…
Giant Resonances in Coulomb Excitations of Relativistic Ions
M. S. Hussein, A. F. R. de Toledo Piza, O. K. Vorov
We propose a soluble model to incorporate the nonlinear effects in the transition probabilities of the multiphonon Giant Dipole Resonances based on the SU(1,1) algebra. Analytical…
Distribution of matrix elements of random operators
M. S. Hussein, M. P. Pato
It is shown that an operator can be defined in the abstract space of random matrices ensembles whose matrix elements statistical distribution simulates the behavior of the distribu…
Feshbach Resonance and Hybrid Atomic/Molecular BEC-Systems
Paolo Tommasini, Eddy Timmermans, Mahir Hussein +1
The interactions responsible for Feshbach resonances in binary atom collisions produce a condensate of molecules in the atomic BEC-system. We discuss the `ground state' of the cond…