Abstract
The problem of how to extend the hydrodynamical model — described in previous publications — to many body problems is discussed and it is shown that the difficulties which arise in such an attempt are not of mathematical nature, but they reflect upon a physical problem which in our opinion is unsolved so far. It is suggested that in the correct treatment of a many body problem one should try to select between the possible wave functions such functions which are very likely in a statistical sense. This proposed selection resembles the selection of the very likely configurations in statistical mechanics.
Резюме
Дискутируется проблема расширения гидродинамической модели-описанной в предыдущих работах — к задаче многих тел. Показывается, что появляющиеся в приложении трудности не математического характера, они отображают физическую проблему, не решенную по нашему мнению до настоящего времени. Оказывается возможным, что в точном решении проблемы многих тел удается выбирать из возможных волновых функций те, которые очень подобны в статистическом смысле. Предполагаемый отбор напоминает отбор очень подобных конфигураций в статистической механике.
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References
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This article is dedicated to the 60th birthday of my good friend, AcademicianP. Gombás, whom I sincerely wish many more years of undiminished activity. I always followed with great interest his work, in particular on the statistical methods of obtaining the stationary states of many body systems. Since many years I am wondering, whether a dynamical version of this theory could be found? It may be that the ideas developed in this article have some connection with the latter problem.
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Jánossy, L. The hydrodynamical model of wave mechanics. Acta Physica 27, 35–46 (1969). https://doi.org/10.1007/BF03156734
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DOI: https://doi.org/10.1007/BF03156734