Довжина у некомутативному фазовому просторі

We study restrictions on the length in a noncommutative phase space caused by noncommutativity. The uncertainty relations for coordinates and momenta are considered, and the lower bound of the length is found. We also consider the eigenvalue problem for the squared length operator and find the expre...

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Datum:2018
Hauptverfasser: Gnatenko, Kh. P., Tkachuk, V. M.
Format: Artikel
Sprache:English
Veröffentlicht: Publishing house "Academperiodika" 2018
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Online Zugang:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018080
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Назва журналу:Ukrainian Journal of Physics

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Ukrainian Journal of Physics
Beschreibung
Zusammenfassung:We study restrictions on the length in a noncommutative phase space caused by noncommutativity. The uncertainty relations for coordinates and momenta are considered, and the lower bound of the length is found. We also consider the eigenvalue problem for the squared length operator and find the expression for the minimal length in the noncommutative phase space.