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Solving a Discrete Nonlinear Schrödinger Equation with a Trap

  • STRUCTURE OF CHEMICAL COMPOUNDS, QUANTUM CHEMISTRY, SPECTROSCOPY
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Abstract

The wave function and ground state energy for a discrete nonlinear Schrödinger equation (DNLSE) with a trap can be found numerically using an iterative process. However, this approach does not always give convergent results. A functional is proposed that is not an energy functional, the minimum of which always gives the ground state of the system under consideration.

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Authors and Affiliations

  1. Emanuel Institute of Biochemical Physics, Russian Academy of Sciences, 119991, Moscow, Russia

    V. N. Likhachev, G. A. Vinogradov & N. S. Erikhman

Authors
  1. V. N. Likhachev
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  2. G. A. Vinogradov
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  3. N. S. Erikhman
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Correspondence to G. A. Vinogradov.

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Likhachev, V.N., Vinogradov, G.A. & Erikhman, N.S. Solving a Discrete Nonlinear Schrödinger Equation with a Trap. Russ. J. Phys. Chem. B 14, 391–394 (2020). https://doi.org/10.1134/S1990793120030203

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  • DOI: https://doi.org/10.1134/S1990793120030203

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