--- _id: '2405' abstract: - lang: eng text: We consider the bipolaron in the Pekar-Tomasevich approximation and address the question whether the ground state is spherically symmetric or not. Numerical analysis has, so far, not completely settled the question. Our contribution is to prove rigorously that the ground state remains spherical for small values of the electron-electron Coulomb repulsion. author: - first_name: Rupert full_name: Frank, Rupert L last_name: Frank - first_name: Élliott full_name: Lieb, Élliott H last_name: Lieb - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Frank R, Lieb É, Seiringer R. Symmetry of bipolaron bound states for small Coulomb repulsion. Communications in Mathematical Physics. 2013;319(2):557-573. doi:10.1007/s00220-012-1604-y apa: Frank, R., Lieb, É., & Seiringer, R. (2013). Symmetry of bipolaron bound states for small Coulomb repulsion. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-012-1604-y chicago: Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Symmetry of Bipolaron Bound States for Small Coulomb Repulsion.” Communications in Mathematical Physics. Springer, 2013. https://doi.org/10.1007/s00220-012-1604-y. ieee: R. Frank, É. Lieb, and R. Seiringer, “Symmetry of bipolaron bound states for small Coulomb repulsion,” Communications in Mathematical Physics, vol. 319, no. 2. Springer, pp. 557–573, 2013. ista: Frank R, Lieb É, Seiringer R. 2013. Symmetry of bipolaron bound states for small Coulomb repulsion. Communications in Mathematical Physics. 319(2), 557–573. mla: Frank, Rupert, et al. “Symmetry of Bipolaron Bound States for Small Coulomb Repulsion.” Communications in Mathematical Physics, vol. 319, no. 2, Springer, 2013, pp. 557–73, doi:10.1007/s00220-012-1604-y. short: R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 319 (2013) 557–573. date_created: 2018-12-11T11:57:28Z date_published: 2013-04-01T00:00:00Z date_updated: 2021-01-12T06:57:17Z day: '01' doi: 10.1007/s00220-012-1604-y extern: 1 intvolume: ' 319' issue: '2' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1201.3954 month: '04' oa: 1 page: 557 - 573 publication: Communications in Mathematical Physics publication_status: published publisher: Springer publist_id: '4522' quality_controlled: 0 status: public title: Symmetry of bipolaron bound states for small Coulomb repulsion type: journal_article volume: 319 year: '2013' ...