Abstract
A p-adic generalization of the frequency theory of probability is developed. Within the framework of this theory frequency meaning is imparted to probabilities belonging to the field of p-adic numbers. The Bargmann-Fock representation is constructed for the p-adic field theory. A frequency interpretation of quantum states in the Bargmann-Fock representation is proposed. The p-adic generalization is essentially an introduction of new quantum states which are meaningless from the point of view of the standard theory of probability based on Kolmogorov's axiomatics.
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Additional information
Moscow Institute of Electronic Engineering. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 51–55, November, 1992.
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Khrennikov, A.Y. Statistical interpretation of the p-adic quantum field theory. Russ Phys J 35, 1036–1039 (1992). https://doi.org/10.1007/BF00559100
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DOI: https://doi.org/10.1007/BF00559100