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Mean Numbers of Atoms in a System with a Constant Number of them with the Possibility of Probabilistic Transitions Between NS ≥ 3 Spatial States

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Russian Physics Journal Aims and scope

A formal probabilistic theory of the interconversions of atoms in the presence of three (NS = 3) spatial dimensions of their electronic structures, proposed in our earlier works, is extended to the general case NS ≥ 3, i.e., to include exotic variants with NS > 3, which are possible, for example, in field theory. As in these earlier works, the results of the present paper are actually also applicable to the case of an arbitrary system of identical objects that can be found in NS ≥ 3 states interconnected by probabilistic relations. Prospects for further development of the proposed theory are indicated.

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References

  1. A. Görlitz et al., Phys. Rev. Lett., 87, 130132 (2001).

    Article  Google Scholar 

  2. U. Eichmann, V. Lange, and W. Sandner, Phys. Rev. Lett., 64, 274 (1990).

    Article  ADS  Google Scholar 

  3. P. Krüger, Z. Hadzibabic, and J. Dalibard, Phys. Rev. Lett., 99, 040402 (2007).

    Article  ADS  Google Scholar 

  4. D. Rychtaric еt al., Phys. Rev. Lett., 92, 173003 (2004).

  5. L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory, Pergamon Press, London (1977).

    MATH  Google Scholar 

  6. B. Greene, The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory, Random House, Inc., New York (2000).

    MATH  Google Scholar 

  7. G. Veneziano, Nuovo Cim. A, 57, 190 (1968).

    Article  ADS  Google Scholar 

  8. V. V. Skobelev, Russ. Phys. J., 62, No. 5, 763 (2019).

    Article  Google Scholar 

  9. V. V. Skobelev, V. P. Krasin, and S. V. Kopylov, Russ. Phys. J., 63, No. 7, 1112 (2020).

    Article  Google Scholar 

  10. T. M. Korn and G. A. Korn, Mathematical Handbook for Scientists and Engineers, McGraw-Hill Book Co., New York (1967).

    MATH  Google Scholar 

  11. V. V. Skobelev, V. P. Krasin, and S. V. Kopylov, Russ. Phys. J., 64, No. 1, 17 (2021).

    Article  Google Scholar 

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Correspondence to V. V. Skobelev.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 141–149, April, 2021.

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Skobelev, V.V., Kopylov, S.V. Mean Numbers of Atoms in a System with a Constant Number of them with the Possibility of Probabilistic Transitions Between NS ≥ 3 Spatial States. Russ Phys J 64, 728–738 (2021). https://doi.org/10.1007/s11182-021-02369-4

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  • DOI: https://doi.org/10.1007/s11182-021-02369-4

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