Integrability of quantum dots

We determine the frequency ratios τ≡ωz/ωρ for which the Hamiltonian system with a potentialV=1r+12(ωρ2(x2+y2)+ωz2z2) is completely integrable. We relate this result to the existence of conformal Killing tensors of the associated Eisenhart metric on R1,4. Finally we show that trajectories of a partic...

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Bibliographic Details
Main Authors: Maciej Dunajski, Andrzej Maciejewski, Maria Przybylska
Format: Article
Language:English
Published: Elsevier 2024-12-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269324006555
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