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Analytic solutions for time-dependent Schrödinger equations with linear of nonlinear Hamiltonians

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Foundations of Physics Letters

Abstract

The decomposition method is applied to the time-dependent Schrödinger equation for linear or nonlinear Hamiltonian operators, without linearization, perturbation, or numerical methods, to obtain a rapidly converging analytic solution

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References

  1. G. Adomian,solving Frontier Problems of Physics: The Decomposition Method (Kluwer Academic, Dordrecht, 1994).

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  2. H. J. Efinger, “Nonlinear Schrödinger mechanics and the law of gravity,”Found. Phys. 19, 407 (1989).

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Authors and Affiliations

  1. General Analytics Corporation, 155 Clyde Road, 80605, Athens, Georgia, USA

    G. Adomian

  2. Institut für Computerwissenschaften, Universität Salzburg, Jakob Haringer Strasse 5, A-5020, Salzburg, Austria

    H. J. Efinger

Authors
  1. G. Adomian
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  2. H. J. Efinger
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Adomian, G., Efinger, H.J. Analytic solutions for time-dependent Schrödinger equations with linear of nonlinear Hamiltonians. Found Phys Lett 7, 489–491 (1994). https://doi.org/10.1007/BF02189252

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  • DOI: https://doi.org/10.1007/BF02189252

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