Summary
The generalized phase-space descriptions of a quantum system are constructed as special linear representations of the space of the linear operators, acting on the state vector space of the system. The relationship between quantum mechanics and classical mechanics is studied in terms of the phase-space descriptions.
Riassunto
Si formulano le descrizioni generalizzate nello spazio delle fasi di un sistema quantico come speciali rappresentazioni lineari dello spazio degli operatori lineari, operanti nello spazio dei vettori degli stati del sistema. In funzione delle descrizioni nello spazio delle fasi si studia la relazione fra meccanica quantica e meccanica classica.
Резюме
Конструируются обобщенные описания квантовой системы в фазовом пространстве, как специальные линейные представления пространства линейных операторов, действующих на пространство векторов состояний системы. Исследуется связь между квантовой механикой и классической механикой в терминах описаний в фазовом пространстве.
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Schmutz, M. Generalized phase-space descriptions as linear representations of operators. Nuov Cim B 25, 337–347 (1975). https://doi.org/10.1007/BF02737684
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DOI: https://doi.org/10.1007/BF02737684