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<article article-type="research-article" dtd-version="1.3" 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" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2015-6-6-773-778</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-894</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PAPERS, PRESENTED AT THE CONFERENCE</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>PAPERS, PRESENTED AT THE CONFERENCE</subject></subj-group></article-categories><title-group><article-title>Kicked particle dynamics in quantum graphs</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Yusupov</surname><given-names>J.</given-names></name></name-alternatives><bio xml:lang="en"><p>17. Niyazov Str., 100095, Tashkent</p></bio><email xlink:type="simple">j.yusupov@polito.uz</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Eshniyozov</surname><given-names>V.</given-names></name></name-alternatives><bio xml:lang="en"><p>100174, Tashkent</p></bio><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Karpova</surname><given-names>O.</given-names></name></name-alternatives><bio xml:lang="en"><p>17. Niyazov Str., 100095, Tashkent</p><p>100174, Tashkent</p></bio><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Saidov</surname><given-names>D. Sh.</given-names></name></name-alternatives><bio xml:lang="en"><p>Urganch</p></bio><xref ref-type="aff" rid="aff-4"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="en">Turin Polytechnic University in Tashkent<country>Uzbekistan</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="en">National University of Uzbekistan<country>Uzbekistan</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="en">Turin Polytechnic University in Tashkent ; National University of Uzbekistan<country>Uzbekistan</country></aff></aff-alternatives><aff-alternatives id="aff-4"><aff xml:lang="en">Urganch Branch of Tashkent University of Information Technologies<country>Uzbekistan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2015</year></pub-date><pub-date pub-type="epub"><day>15</day><month>08</month><year>2025</year></pub-date><volume>6</volume><issue>6</issue><fpage>773</fpage><lpage>778</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Yusupov J., Eshniyozov V., Karpova O., Saidov D.S., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Yusupov J., Eshniyozov V., Karpova O., Saidov D.S.</copyright-holder><copyright-holder xml:lang="en">Yusupov J., Eshniyozov V., Karpova O., Saidov D.S.</copyright-holder><license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://nanojournal.ifmo.ru/jour/article/view/894">https://nanojournal.ifmo.ru/jour/article/view/894</self-uri><abstract><p>The quantum dynamics of a delta-kicked driven particle in a star-shaped network is studied by obtaining an exact solution for the time-dependent Schr¨odinger equation within a single kicking period. 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