{"database":"biostudies-literature","file_versions":[],"scores":null,"additional":{"omics_type":["Unknown"],"volume":["22"],"submitter":["Liu Y"],"pubmed_abstract":["We show that a system consisting of two interacting particles with mass ratio 3 or 1/3 in a hard-wall box can be exactly solved by using Bethe-type ansatz. The ansatz is based on a finite superposition of plane waves associated with a dihedral group D<sub>6</sub>, which enforces the momentums after a series of scattering and reflection processes to fulfill the D<sub>6</sub> symmetry. Starting from a two-body elastic collision model in a hard-wall box, we demonstrate how a finite momentum distribution is related to the D<sub>2n</sub> symmetry for permitted mass ratios. For a quantum system with mass ratio 3, we obtain exact eigenenergies and eigenstates by solving Bethe-type-ansatz equations for arbitrary interaction strength. A many-body excited state of the system is found to be independent of the interaction strength, i.e., the wave function looks exactly the same for non-interacting two particles or in the hard-core limit."],"journal":["iScience"],"pagination":["181-194"],"full_dataset_link":["https://www.ebi.ac.uk/biostudies/studies/S-EPMC6911986"],"repository":["biostudies-literature"],"pubmed_title":["Mass-Imbalanced Atoms in a Hard-Wall Trap: An Exactly Solvable Model Associated with D<sub>6</sub> Symmetry."],"pmcid":["PMC6911986"],"pubmed_authors":["Liu Y","Zhang Y","Qi F","Chen S"],"additional_accession":[]},"is_claimable":false,"name":"Mass-Imbalanced Atoms in a Hard-Wall Trap: An Exactly Solvable Model Associated with D<sub>6</sub> Symmetry.","description":"We show that a system consisting of two interacting particles with mass ratio 3 or 1/3 in a hard-wall box can be exactly solved by using Bethe-type ansatz. The ansatz is based on a finite superposition of plane waves associated with a dihedral group D<sub>6</sub>, which enforces the momentums after a series of scattering and reflection processes to fulfill the D<sub>6</sub> symmetry. Starting from a two-body elastic collision model in a hard-wall box, we demonstrate how a finite momentum distribution is related to the D<sub>2n</sub> symmetry for permitted mass ratios. For a quantum system with mass ratio 3, we obtain exact eigenenergies and eigenstates by solving Bethe-type-ansatz equations for arbitrary interaction strength. A many-body excited state of the system is found to be independent of the interaction strength, i.e., the wave function looks exactly the same for non-interacting two particles or in the hard-core limit.","dates":{"release":"2019-01-01T00:00:00Z","publication":"2019 Dec","modification":"2022-02-09T12:23:39.049Z","creation":"2020-05-21T23:35:23Z"},"accession":"S-EPMC6911986","cross_references":{"pubmed":["31785556"],"doi":["10.1016/j.isci.2019.11.018"]}}