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Construction of effective operators for the time-dependent Schrödinger equation

  • Optics and Spectroscopy
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Soviet Physics Journal Aims and scope

Abstract

The contact transformation method is used to solve the time-dependent Schrödinger equation describing the behavior of a multilevel system in a resonance electromagnetic field. A solution not containing secular terms is obtained for the evolution operator in the interaction representation U0. The derivation of the equation for the probability of the simultaneous absorption of two photons with the dipole interaction is presented as an example of the effectiveness of the obtained solution.

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Authors and Affiliations

  1. Institute of Atmospheric Optics, Siberian Branch, Academy of Sciences of the USSR, USSR

    V. I. Zakharov & Vl. G. Tyuterev

Authors
  1. V. I. Zakharov
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  2. Vl. G. Tyuterev
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 78–81, August, 1982.

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Zakharov, V.I., Tyuterev, V.G. Construction of effective operators for the time-dependent Schrödinger equation. Soviet Physics Journal 25, 749–752 (1982). https://doi.org/10.1007/BF00895254

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  • DOI: https://doi.org/10.1007/BF00895254

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