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Restrictions Imposed by the Wave Function on the Results of Particle Momentum Measurements

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
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Abstract

It is demonstrated with a particle in the one-dimensional configuration space (OCS) that knowledge of the wave function supposes more than statistical restrictions on the results of measurements. In particular, apart from the probability (density) field in the OCS, the wave function also suggests the existence of two fields that predict two (equiprobable) particle momentum values for each OCS point, and the average of these two momenta at each point is related only to the wave function phase, while their difference (coinciding with the Bohm quantum-mechanical potential) is related only to the wave function amplitude. An analogue of the Heisenberg uncertainty relation is obtained for both fields.

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REFERENCES

  1. J. S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge Univ. Press, Cambridge, 1987).

    MATH  Google Scholar 

  2. A. V. Belinskii and A. A. Klevtsov, “Nonlocal classical `realism' and quantum superposition as the nonexistence of definite pre-measurement values of physical quantities,” Phys. Usp. 61, 313 (2018).

    Article  ADS  Google Scholar 

  3. E. Madelung, “Quantentheorie in hydrodynamischer Form,” Z. Phys. 40, 332 (1926).

    MATH  Google Scholar 

  4. L. de Broglie, “L’interpretation de la mecanique ondulatoire,” J. Phys. Radium 20, 963 (1959).

    Article  MathSciNet  MATH  Google Scholar 

  5. D. Bohm, “A suggested interpretation of the quantum theory in terms of “hidden” variables. I,” Phys. Rev. 85, 166 (1952).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. M. Born, “Quantenmechanik der Stossvorgange,” Z. Phys. 38, 803 (1926).

    ADS  MATH  Google Scholar 

  7. G. Grössing, “On the thermodynamic origin of the quantum potential,” Phys. A (Amsterdam, Neth.) 388, 811 (2009).

  8. J. Salesi, “Spin and Madelung fluid,” Mod. Phys. Lett. A 11, 1815 (1996).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  9. A. V. Belinsky, “Is David Bohm’s quantum mechanics interpretation irrefutable?,” Mosc. Univ. Phys. Bull. 73, 351 (2018).

    Article  ADS  Google Scholar 

  10. V. A. Bednyakov, “Does a single electron have wave properties?,” Phys. Part. Nucl. Lett. 18, 413 (2021).

    Article  Google Scholar 

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Authors and Affiliations

  1. Tomsk State Pedogogical University, 634041, Tomsk, Russia

    N. L. Chuprikov

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  1. N. L. Chuprikov
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Correspondence to N. L. Chuprikov.

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Translated by M. Potapov

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Chuprikov, N.L. Restrictions Imposed by the Wave Function on the Results of Particle Momentum Measurements. Phys. Part. Nuclei Lett. 19, 660–665 (2022). https://doi.org/10.1134/S1547477122060073

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  • DOI: https://doi.org/10.1134/S1547477122060073

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