Generalized three-body harmonic oscillator system: ground state
dc.contributor.author | Escobar-Ruiz, Adrian M. | |
dc.contributor.author | Montoya, Fidel | |
dc.date.accessioned | 2022-05-04T12:03:05Z | |
dc.date.available | 2022-05-04T12:03:05Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Acta Polytechnica. 2022, vol. 62, no. 1, p. 50-55. | |
dc.identifier.issn | 1210-2709 (print) | |
dc.identifier.issn | 1805-2363 (online) | |
dc.identifier.uri | http://hdl.handle.net/10467/100625 | |
dc.description.abstract | In this work we report on a 3-body system in a d−dimensional space ℝd with a quadratic harmonic potential in the relative distances rij = |ri −rj| between particles. Our study considers unequal masses, different spring constants and it is defined in the three-dimensional (sub)space of solutions characterized (globally) by zero total angular momentum. This system is exactly-solvable with hidden algebra sℓ4(ℝ). It is shown that in some particular cases the system becomes maximally (minimally) superintegrable. We pay special attention to a physically relevant generalization of the model where eventually the integrability is lost. In particular, the ground state and the first excited state are determined within a perturbative framework. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | České vysoké učení technické v Praze | cs |
dc.publisher | Czech Technical University in Prague | en |
dc.relation.ispartofseries | Acta Polytechnica | |
dc.relation.uri | https://ojs.cvut.cz/ojs/index.php/ap/article/view/7668 | |
dc.rights | Creative Commons Attribution 4.0 International License | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.title | Generalized three-body harmonic oscillator system: ground state | |
dc.type | article | en |
dc.date.updated | 2022-05-04T12:03:06Z | |
dc.identifier.doi | 10.14311/AP.2022.62.0050 | |
dc.rights.access | openAccess | |
dc.type.status | Peer-reviewed | |
dc.type.version | publishedVersion |
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