Summary
An analysis is shown of integral kernels realizing multiplication between phase-space functions, which are in a correspondence with quantum-mechanical variables of a nonrelativistic system. Kernels satisfying the associative property are found as solution of a functional equation.
Riassunto
Si compie un’analisi dei noccioli integrali che realizzano prodotti fra funzioni dello spazio dello fasi, le quali siano in corrispondenza con variabili quanto-meccaniche di un sistema non relativistico. I noccioli che soddisfano la proprietà associativa vengono trovati come soluzioni di un’equazione funzionale.
Резюме
Проводится анализ ин тегральных ядер, кото рые реализуют умноже ния между функциями фазового п ространства, которые соответствуют квант овоме-ханическим переменным нереляти вистской системы. Ядр а, удовлетворяющие ас социативному свойству, получаются, как решение функцион ального уравнения.
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Simoni, A., Zaccaria, F. & Sudarshan, E.C.G. On kernels realizing associative multiplications between phase-space functions. Nuov Cim B 5, 134–142 (1971). https://doi.org/10.1007/BF02737716
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DOI: https://doi.org/10.1007/BF02737716