Integrability of quantum dots

被引：0

作者：

Dunajski, Maciej ^{[1
]}

Maciejewski, Andrzej ^{[2
]}

Przybylska, Maria ^{[3
]}

机构：

[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Wilberforce Rd, Cambridge CB3 0WA, England

[2] Univ Zielona Gora, Janusz Gil Inst Astron, Licealna 9, PL-65417 Zielona Gora, Poland

[3] Univ Zielona Gora, Inst Phys, Licealna 9, PL-65417 Zielona Gora, Poland

来源：

PHYSICS LETTERS B | 2024年 / 859卷

关键词：

SYSTEMS;

D O I：

10.1016/j.physletb.2024.139097

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We determine the frequency ratios.. =..../.... for which the Hamiltonian system with a potential.. = 1.. + 1 2 (....2(..2 +..2) +.... 2..2) 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 particle moving under the influence of the potential.. are not unparametrised geodesics of any Riemannian metric on R3.

引用

页数：4

共 14 条

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