A second-quantization treatment of the solution of the equation of classical mechanics is carried out. It is shown that all of the information about the multiparticle process of creation of a pair of scalar particles by a nonstationary potential barrier is contained in the solutions of Newton’s one-particle equation. The corresponding solution does not depend on Planck’s constant. It is shown that for any spatial quantum problem there exists a temporal classical analog. The obtained results can be used in quantum geometrodynamics.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 151–160, March, 2018.
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Lasukov, V.V., Abdrashitova, M.O. Quantum-Field Approach in Classical Physics and Geometrodynamics. Russ Phys J 61, 566–578 (2018). https://doi.org/10.1007/s11182-018-1435-1
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DOI: https://doi.org/10.1007/s11182-018-1435-1