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Remarks on canonical quantization

Замечания о каноническом квантовании

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Il Nuovo Cimento A (1965-1970)

Summary

Differential geometric concepts in canonical quantization are discussed. Souriau'sespace fibre quantifiant is shown under certain conditions to be realized in contact structure. Illustrative examples of contact structures are examined.

Riassunto

Si discutono i concetti della geometria differenziale nella quantizzazione canonica. Si dimostra che, in certe condizioni, il quantificante della fibra spaziale di Souriau è realizzato nelle strutture di contatto. Si esaminano esempi illustrativi delle strutture di contatto.

Резюме

Обсуждаются дифференциальные геометрические концепции в каноническом квантовании. Показывается, что оператор квантования Сурио, имеющий пространственный характер, при определенных условиях реализуется в контактной структуре. Исследуются примеры контактных структур.

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, New York, N. Y.

    N. E. Hurt

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  1. N. E. Hurt
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Traduzione a cura della Redazione.

Перевебено ребакцией.

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Hurt, N.E. Remarks on canonical quantization. Nuovo Cimento A (1965-1970) 55, 534–542 (1968). https://doi.org/10.1007/BF02857574

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  • DOI: https://doi.org/10.1007/BF02857574

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