Quantum cylindrical integrability in magnetic fields

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F23%3A00370201" target="_blank" >RIV/68407700:21340/23:00370201 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.21468/SciPostPhysProc.14.032" target="_blank" >https://doi.org/10.21468/SciPostPhysProc.14.032</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21468/SciPostPhysProc.14.032" target="_blank" >10.21468/SciPostPhysProc.14.032</a>

Result language
angličtina
Original language name
Quantum cylindrical integrability in magnetic fields
Original language description
We present the classification of quadratically integrable systems of the cylindrical type with magnetic fields in quantum mechanics. Following the direct method used in classical mechanics by [F Fournier et al 2020 J. Phys. A: Math. Theor. 53 085203] to facilitate the comparison, the cases which may a priori differ yield 2 systems without any correction and 2 with it. In all of them, the magnetic field B coincides with the classical one, only the scalar potential W may contain a ℏ^2-dependent correction. Two of the systems have both cylindrical integrals quadratic in momenta and are therefore not separable. These results form a basis for a prospective study of superintegrability.
Czech name
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Czech description
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Project
<a href="/en/project/GA17-11805S" target="_blank" >GA17-11805S: Superintegrable systems in magnetic fields in three spatial dimensions</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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