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Semiclassical asymptotics of the eigenfunctions of the Schrödinger-Hartree equation. New form of classical self-consistent field

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Abstract

The asymptotic behavior of the eigenfunctions of the Schrödinger equation in the limith→0 is found in the case when the corresponding classical motion is ergodic. New equations for a self-consistent field and the plasma waves corresponding to it are derived.

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Authors
  1. V. P. Maslov
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Additional information

The paper is written for physicists and does not contain rigorous mathematical theorems.

Moscow Institute of Electronic Engineering. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 99, No. 1, pp. 141–154, April, 1994.

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Maslov, V.P. Semiclassical asymptotics of the eigenfunctions of the Schrödinger-Hartree equation. New form of classical self-consistent field. Theor Math Phys 99, 484–493 (1994). https://doi.org/10.1007/BF01018802

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  • DOI: https://doi.org/10.1007/BF01018802

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