35 citations · 96 across the 9 of their papers we have counts for
9 papers
Asymmetric scattering between kinks and wobblers
A. Alonso-Izquierdo, L. M. Nieto, J. Queiroga-Nunes
The asymmetric scattering between wobblers and kinks in the standard model is numerically investigated in two different scenarios. First, the collision between wobblers with…
The momentum distribution of two bosons in one dimension with infinite contact repulsion in harmonic trap gets analytical
K. Bencheikh, L. M. Nieto, L. U. Ancarani
For a harmonically trapped system consisting of two bosons in one spatial dimension with infinite contact repulsion (hard core bosons), we derive an expression for the one-body den…
Tavis-Cummings models and their quasi-exactly solvable Schrödinger Hamiltonians
T. Mohamadian, J. Negro, L. M. Nieto +1
We study in detail the relationship between the Tavis-Cummings Hamiltonian of quantum optics and a family of quasi-exactly solvable Schrödinger equations. The connection between th…
Superintegrability of the Fock-Darwin system
E. Drigho-Filho, S. Kuru, J. Negro +1
The Fock-Darwin system is analysed from the point of view of its symmetry properties in the quantum and classical frameworks. The quantum Fock-Darwin system is known to have two se…
Two-point one-dimensional - interactions: non-abelian addition law and decoupling limit
M. Gadella, J. Mateos Guilarte, J. M. Munoz-Castaneda +1
In this contribution to the study of one dimensional point potentials, we prove that if we take the limit on a potential of the type $v_0δ({y})+{2}v_1δ'({y})+w_0δ({y}-q)+…
Heisenberg-type higher order symmetries of superintegrable systems separable in cartesian coordinates
F. Gungor, S Kuru, J. Negro +1
Heisenberg-type higher order symmetries are studied for both classical and quantum mechanical systems separable in cartesian coordinates. A few particular cases of this type of sup…
Self-isospectrality, mirror symmetry, and exotic nonlinear supersymmetry
Mikhail S. Plyushchay, Luis-Miguel Nieto
We study supersymmetry of a self-isospectral one-gap Poschl-Teller system in the light of a mirror symmetry that is based on spatial and shift reflections. The revealed exotic, par…
A one dimensional model showing a quantum phase transition based on a singular potential
M. L. Glasser, M. Gadella, L. M. Nieto
We study a one-dimensional singular potential plus three types of regular interactions: constant electric field, harmonic oscillator and infinite square well. We use the Lippman-Sc…
Exact results for the Wigner transform phase space densities of a two-dimensional harmonically confined charged quantum gas subjected to a magnetic field
K. Bencheikh, L. M. Nieto
Closed form analytical expressions are obtained for the Wigner transform of the Bloch density matrix and for the Wigner phase space density of a two dimensional harmonically trappe…