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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Discrete and Continuous Models and Applied Computational Science</journal-id><journal-title-group><journal-title xml:lang="en">Discrete and Continuous Models and Applied Computational Science</journal-title><trans-title-group xml:lang="ru"><trans-title>Discrete and Continuous Models and Applied Computational Science</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2658-4670</issn><issn publication-format="electronic">2658-7149</issn><publisher><publisher-name xml:lang="en">Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">51148</article-id><article-id pub-id-type="edn">JWJLZD</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Physics and Astronomy</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Физика</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Dynamical Methods of Investigations in Application to the Schr\"{o</article-title><trans-title-group xml:lang="ru"><trans-title>Динамический метод исследования в приложении к Шредингеровской частице</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Rylov</surname><given-names>Yu. A.</given-names></name><name xml:lang="ru"><surname>Рылов</surname><given-names>Ю. А.</given-names></name></name-alternatives><email>-</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Institute for Problems in Mechanics, Russian Academy of Sciences</institution></aff><aff><institution xml:lang="ru">Институт проблем механики РАН,</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2007-12-15" publication-format="electronic"><day>15</day><month>12</month><year>2007</year></pub-date><issue>3-4</issue><issue-title xml:lang="en">NO3-4 (2007)</issue-title><issue-title xml:lang="ru">№3-4 (2007)</issue-title><fpage>122</fpage><lpage>129</lpage><history><date date-type="received" iso-8601-date="2026-07-08"><day>08</day><month>07</month><year>2026</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2007, Rylov Y.A.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2007, Рылов Ю.А.</copyright-statement><copyright-year>2007</copyright-year><copyright-holder xml:lang="en">Rylov Y.A.</copyright-holder><copyright-holder xml:lang="ru">Рылов Ю.А.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rudn.ru/miph/article/view/51148">https://journals.rudn.ru/miph/article/view/51148</self-uri><abstract xml:lang="en">Quantum systems are dynamic systems restricted by the principles of quantum mechanics (linearity of dynamic equations, linear transformation of the wave function etc.). One suggests to investigate the quantum systems simply as dynamic systems, ignoring the quantum principles and constraints imposed by them. Such dynamic methods of investigation appear to be more adequate and effective, than the conventional quantum methods of investigation. Using these methods, which ignore the quantum principles, one can overcome the principal problem of quantum field theory: join of nonrelativistic quantum principles with the relativity principles. Investigation of dynamic system $\mathcal{S}_{\mathrm{S}}$, described by the Schr\"{o}dinger equation, admits one to prove that the Copenhagen interpretation is incompatible with quantum mechanics formalism. Besides, it is shown that sometimes the application of quantum principles leads to incorrect results.</abstract><trans-abstract xml:lang="ru">Квантовые системы --- это динамические системы, ограниченные   принципами квантовой механики (линейность динамических уравнений,   линейные преобразования волновых функций и т. п.). Предлагается   исследовать квантовые системы просто как динамические системы,   игнорируя ограничивающие их квантовые принципы. Такой динамический   метод исследований представляется более адекватным и   эффективным. Используя этот метод можно преодолеть основные   трудности квантовой теории поля: объединить принципы   нерелятивистской квантовой механики и принцип   относительности. Исследование динамической системы, описываемой   уравнением Шрёдингера, позволяет показать, что Копенгагенская   интерпретация несовместна с квантовомеханическими принципами. Кроме   того, показано, что иногда использование квантовомеханических   принципов приводит к неверным результатам.</trans-abstract></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Neumann J. V. Mathematische Grundlagen der Quantenmechanik. - Berlin: Berlin, 1932.</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Rylov Y. A. Spin and wave function as attributes of ideal fluid // J. Math. Phys. - Vol. 40, No 1. - 1999. - Pp. 256-278.</mixed-citation></ref><ref id="B3"><label>3.</label><mixed-citation>Madelung E. Quanten Theorie in hydrodynamischer Form // Z. Phys. - Vol. 40. - 1926. - Pp. 322-326.</mixed-citation></ref><ref id="B4"><label>4.</label><mixed-citation>Bohm D. A suggested interpretation of the quantum theory in terms of “hidden” variables // Phys. Rev. - Vol. 85. - 1952. - Pp. 166, 180.</mixed-citation></ref><ref id="B5"><label>5.</label><mixed-citation>Rylov Y. A. 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