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A quantum particle under the action of “white noise” type forces

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Abstract

We obtain the Schrödinger equation for the wave function of a particle interacting with the external field having a potential containing a component of the “white noise” type and the Kolmogorov equations for the distribution of a wave function.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    I. I. Gikhman

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  1. I. I. Gikhman
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 7, pp. 907–914, July, 1993.

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Gikhman, I.I. A quantum particle under the action of “white noise” type forces. Ukr Math J 45, 1004–1011 (1993). https://doi.org/10.1007/BF01057447

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  • DOI: https://doi.org/10.1007/BF01057447

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