Abstract
The unitary operator, the generator of symmetry transformations in the Hilbert-space, will be formed on the basis of the field equations together with the commutation law. Our method is the reversal ofSchwinger’s method used in the covariant formulation of the quantum theory and eliminates some insufficiencies of the previo as treatments.
Резюме
Унитарный оператор, производящий преобразования симметрии в гилбертовом пространстве, стпоится на базе уравнений поля и перестановочных соотношений. Наш метод является обращением метода Швингера и он устраняет некоторые недостатки предыдущих трактовок.
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References
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J. Schwinger, Phys. Rev.,82, 914, 1951.
See e.g.L. Rosenfeld, Ann. Phys.,5, 113, 1930.R. Utiyama, Progr. Theor. Phys.,5, 437, 1950.M. Jauch-R. Rohrlich, Quantum Theory of Photons and Electrons, Addison-Wesley Publ. Co. Cambridge, Mass. 1955.P. T. Matthews, The Relativistic Quantum Theory of Elementary Particles, Rochester Lectures, 1957. Preprint.J. Schwinger, Annals of Physics,2, 407, 1957.
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Marx, G. The fundamental theorem of continuous transformations in the quantum theory. Acta Physica 9, 393–402 (1959). https://doi.org/10.1007/BF03157261
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DOI: https://doi.org/10.1007/BF03157261