Quantum States of Interacting Atoms in Quasi-One-Dimensional Ultracold Trapped Gases  

作　　者：Polyanna Guimaraes e Miranda Débora Nazaréde Freitas AndréLuiz Mota 

机构地区：[1]Departamento de Ciências Naturais,Universidade Federal de Sao Joao del-Rei,Sao Joao del-Rei,Brazil [2]Instituto Federal do Paraná Campus Assis Chateaubriand,Assis Chateaubriand,Brazil

出　　处：《Journal of Modern Physics》2018年第3期443-460,共18页现代物理（英文）

基　　金：thank financial support from CNPq,FAPEMIG and CAPES(Brazilian funding agencies).

摘　　要：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.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.

关 键 词：Ultracold Trapped Gases Confined Eigenstates Resonance 

分 类 号：R73[医药卫生—肿瘤]