Self-stochasticity in boundary value problems of quantum mechanics

• Published in: Физика и техника высоких давлений
• Date: 2017
• Main Authors: Krasnyuk, I.B., Melnik, T.N., Yurchenko, V.M.
• Format: Article
• Language: English
• Published: Донецький фізико-технічний інститут ім. О.О. Галкіна НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/168138
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Self-stochasticity in boundary value problems of quantum mechanics / I.B. Krasnyuk, T.N. Melnik, V.M. Yurchenko // Физика и техника высоких давлений. — 2017. — Т. 27, № 2. — С. 51-61. — Бібліогр.: 18 назв. — англ.

On the example of an initial-value boundary problem for the Schrödinger equation, a methodological problem of quantum mechanics has been discussed. It is shown that quantum mechanical problems can be reduced to difference equations with continuous time for which there exist so-called self-stochastic...