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Newton's equation as a consequence of a semiclassical method of solving the Schrödinger equation

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Abstract

Using the one-dimensional Schrbdinger equation as an example, it is shown that the classical equations of motion necessarily arise during the construction of semiclassical solutions of quantum mechanical equations with the aid of V. P. Maslov's complex-germ method.

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Literature cited

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    V. G. Bagrov, V. V. Belov, and I. M. Ternov, Teor. Mat. Fiz.,50, No. 3, 390–396 (1982).

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    V. G. Bagrov and V. V. Belov, Izv. Vyssh. Uchebn. Zaved. Fiz., No. 4, 48–50 (1982).

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    V. G. Bagrov, V. V. Belov, and I. M. Ternov, J. Math. Phys.,24, No. 12, 2855–2859 (1983).

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 77–80, July, 1991.

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Rogova, A.M. Newton's equation as a consequence of a semiclassical method of solving the Schrödinger equation. Soviet Physics Journal 34, 627–630 (1991). https://doi.org/10.1007/BF00897995

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Keywords

  • Classical Equation
  • Mechanical Equation
  • Semiclassical Method
  • Semiclassical Solution
  • Quantum Mechanical Equation