Classical fluid aspects of nonlinear Schrödinger equations and solitons

James G. Gilson

International Journal of Stochastic Analysis, 1987, vol. 1, 1-16

Abstract:

The author extends his alternative theory for Schrödinger quantum mechanics by introducing the idea of energy reference strata over configuration space. It is then shown that the view from various such strata defines, the content of the system of interest and enables a variety of different descriptions of events in the same space time region. Thus according to the point of view or energy stratum chosen so the type of Schrödinger equation, linear or otherwise, appropriate to describe the system is determined. A nonlinear information channel between two dimensional fluid action in hyperspace into two dimensional energy hyperspace is shown to exist generally as a background to nonlinear Schrödinger structures. In addition it is shown how soliton solutions of the one dimensional Schrödinger equation are related to two dimensional vortex fields in hyperspace.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:856701

DOI: 10.1155/S1048953388000085

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