Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)2942810.22363/2658-4670-2021-29-4-347-360ArticlesСтатьиResearch ArticleQuantum mereology in finite quantum mechanicsКвантовая мереология в конечной квантовой механикеhttps://orcid.org/0000-0002-5712-2960KornyakVladimir V.КорнякВ. В.

Doctor of Sciences in Physics and Mathematics, Leading researcher, Laboratory of Information Technologies

vkornyak@gmail.comJoint Institute for Nuclear ResearchОбъединённый институт ядерных исследований12112021294VOL 29, NO4 (2021)ТОМ 29, №4 (2021)34736012112021Copyright ©; 2021, Kornyak V.V.Copyright ©; 2021, Корняк В.В.2021Kornyak V.V.Корняк В.В.http://creativecommons.org/licenses/by/4.0https://journals.rudn.ru/miph/article/view/29428

Any Hilbert space with composite dimension can be factored into a tensor product of smaller Hilbert spaces. This allows us to decompose a quantum system into subsystems. We propose a model based on finite quantum mechanics for a constructive study of such decompositions.

Любое гильбертово пространство составной размерности можно разложить в тензорное произведение меньших гильбертовых пространств. Такая факторизация дает возможность разложить квантовую систему на подсистемы. Мы предлагаем модель, основанную на конечной квантовой механике, для конструктивного изучения таких разложений.

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