TITLE:
Quantum States of Interacting Atoms in Quasi-One-Dimensional Ultracold Trapped Gases
AUTHORS:
Polyanna Guimarães e Miranda, Débora Nazaré de Freitas, André Luiz Mota
KEYWORDS:
Ultracold Trapped Gases, Confined Eigenstates, Resonance
JOURNAL NAME:
Journal of Modern Physics,
Vol.9 No.3,
February
14,
2018
ABSTRACT: We theoretically investigate the quantum states of a Hamiltonian model for quasi-one-dimensional ultracold trapped gases. From the ansatz given by the numerical solution of the Schrödinger equation of the system, we develop a scattering potential functional form and an approximate solution for the analytical approach of the model. We obtain the set of approximate eigenstates and eigenenergies that can be used in future improvements on the study of atomic scattering in low dimensional ultracold gases. We also show that there is a parity inversion of the ground state of the model as the interaction strength increases.