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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">chemicallytech</journal-id><journal-title-group><journal-title xml:lang="en">Fine Chemical Technologies</journal-title><trans-title-group xml:lang="ru"><trans-title>Тонкие химические технологии</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2410-6593</issn><issn pub-type="epub">2686-7575</issn><publisher><publisher-name>MIREA – Russian Technological University (RTU MIREA).</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">chemicallytech-482</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>THEORETICAL BASIS OF CHEMICAL TECHNOLOGY</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ТЕОРЕТИЧЕСКИЕ ОСНОВЫ ХИМИЧЕСКОЙ ТЕХНОЛОГИИ</subject></subj-group></article-categories><title-group><article-title>To the non-local theory of charge – spin interaction in waves and particles</article-title><trans-title-group xml:lang="ru"><trans-title>К нелокальной теории зарядовых и спиновых взаимодействий в волнах и частицах</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Алексеев</surname><given-names>Б. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Alexeev</surname><given-names>B. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>кафедра Физики, заведующий кафедрой</p></bio><bio xml:lang="en"><p>Department of Physics, head of the department</p></bio><email xlink:type="simple">boris.vlad.alexeev@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>МИТХТ им. М.В. Ломоносова, 119571, Москва, пр-т Вернадского, д. 86</institution><country>Россия</country></aff><aff xml:lang="en"><institution>M.V. Lomonosov Moscow State University of Fine Chemical Technologies, 86, Vernadskogo pr., Moscow 119571</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2014</year></pub-date><pub-date pub-type="epub"><day>28</day><month>04</month><year>2014</year></pub-date><volume>9</volume><issue>2</issue><fpage>53</fpage><lpage>79</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Alexeev B.V., 2014</copyright-statement><copyright-year>2014</copyright-year><copyright-holder xml:lang="ru">Алексеев Б.В.</copyright-holder><copyright-holder xml:lang="en">Alexeev B.V.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" 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://www.finechem-mirea.ru/jour/article/view/482">https://www.finechem-mirea.ru/jour/article/view/482</self-uri><abstract><p>The theory of the charge – spin interaction in waves in the frame of non-local quantum hydrodynamics is considered. The electron charge inner structure is investigated using the non-local physical description. From calculations follow that electrons can be considered like charged balls (shortly CB model) which charges are concentrated mainly in the shell of these balls. The possible direction deviation of the spin momentum and the magnetic momentum is taken into account.</p></abstract><trans-abstract xml:lang="ru"><p>В рамках нелокальной квантовой гидродинамики построена теория взаимодействия в волнах зарядовых и спиновых возбуждений. Исследована внутренняя зарядовая структура электрона на основе нелокального описания. Из расчетов следует, что внутреннее распределение заряда электрона отвечает модели шара, заряд которого сосредоточен в основном в окрестности оболочки шара. В расчетах учитывается возможное отклонение спина от направления магнитного момента.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>основы теории процессов переноса</kwd><kwd>теория солитонов</kwd><kwd>обобщенные гидродинамические&#13;
уравнения</kwd><kwd>основания квантовой механики</kwd></kwd-group><kwd-group xml:lang="en"><kwd>foundations of the theory of transport processes</kwd><kwd>the theory of solitons</kwd><kwd>generalized hydrodynamic&#13;
equations</kwd><kwd>foundations of quantum mechanics.</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Tomonaga S. Remarks on Bloch’s method of sound waves applied to many-fermion problems // Prog. Theor. Phys. 1950. V. 5 (4). P. 544-569.</mixed-citation><mixed-citation xml:lang="en">Tomonaga S. Remarks on Bloch’s method of sound waves applied to many-fermion problems // Prog. Theor. Phys. 1950. V. 5 (4). P. 544-569.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Alexeev B.V, Ovchinnikova I.V. Application of non-local quantum hydrodynamics to the description of the charge density waves in the graphene crystal lattice // Phys.l Rev. &amp; Res. Int. 2013. V. 3 (2). P. 55-116.</mixed-citation><mixed-citation xml:lang="en">Alexeev B.V, Ovchinnikova I.V. Application of non-local quantum hydrodynamics to the description of the charge density waves in the graphene crystal lattice // Phys.l Rev. &amp; Res. Int. 2013. V. 3 (2). P. 55-116.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Alekseev B.V. Matematicheskaya kinetika reagiruyushchikh gazov. (Mathematical theory of reacting gases). Moscow: Nauka, 1982. 420 p. (in Russ.).</mixed-citation><mixed-citation xml:lang="en">Alekseev B.V. Matematicheskaya kinetika reagiruyushchikh gazov. (Mathematical theory of reacting gases). Moscow: Nauka, 1982. 420 p. (in Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Alexeev B.V. The generalized Boltzmann equation, generalized hydrodynamic equations and their Applications // Phil. Trans. Roy. Soc. Lond. 1994. V. 349. P. 417-443. doi:10.1098/rsta.1994.0140.</mixed-citation><mixed-citation xml:lang="en">Alexeev B.V. The generalized Boltzmann equation, generalized hydrodynamic equations and their Applications // Phil. Trans. Roy. Soc. Lond. 1994. V. 349. P. 417-443. doi:10.1098/rsta.1994.0140.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Alexeev B.V. The generalized Boltzmann equation // Physica A. 1995. V. 216. P. 459-468. doi:10.1016/0378-4371(95)00044-8.</mixed-citation><mixed-citation xml:lang="en">Alexeev B.V. The generalized Boltzmann equation // Physica A. 1995. V. 216. P. 459-468. doi:10.1016/0378-4371(95)00044-8.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Alekseev B.V. Physical basements of the generalized Boltzmann kinetic theory of gases // Physics-Uspekhi. 2000. V. 43 (6). P. 601-629. doi:10.1070/PU2000v043n06ABEH000694.</mixed-citation><mixed-citation xml:lang="en">Alekseev B.V. Physical basements of the generalized Boltzmann kinetic theory of gases // Physics-Uspekhi. 2000. V. 43 (6). P. 601-629. doi:10.1070/PU2000v043n06ABEH000694.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Alekseev B.V. Physical fundamentals of the generalized Boltzmann kinetic theory of ionized gases // Physics-Uspekhi. 2003. V. 46 (2). P. 139-167. doi:10.1070/PU2003v046n02ABEH001221.</mixed-citation><mixed-citation xml:lang="en">Alekseev B.V. Physical fundamentals of the generalized Boltzmann kinetic theory of ionized gases // Physics-Uspekhi. 2003. V. 46 (2). P. 139-167. doi:10.1070/PU2003v046n02ABEH001221.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Alexeev B.V. Generalized Boltzmann physical kinetics. Amsterdam: Elsevier, 2004. 376 p.</mixed-citation><mixed-citation xml:lang="en">Alexeev B.V. Generalized Boltzmann physical kinetics. Amsterdam: Elsevier, 2004. 376 p.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Alexeev B.V. Generalized quantum hydrodynamics and principles of non-local physics // J. Nanoelectron. Optoelectron. 2008. V. 3. P. 143-158. doi:10.1166/jno.2008.207.</mixed-citation><mixed-citation xml:lang="en">Alexeev B.V. Generalized quantum hydrodynamics and principles of non-local physics // J. Nanoelectron. Optoelectron. 2008. V. 3. P. 143-158. doi:10.1166/jno.2008.207.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Alexeev B.V. Application of generalized quantum hydrodynamics in the theory of quantum soliton evolution // J. Nanoelectron. Optoelectron. 2008. V. 3. P. 316-328. doi:10.1166/jno.2008.311.</mixed-citation><mixed-citation xml:lang="en">Alexeev B.V. Application of generalized quantum hydrodynamics in the theory of quantum soliton evolution // J. Nanoelectron. Optoelectron. 2008. V. 3. P. 316-328. doi:10.1166/jno.2008.311.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Alexeev B.V. Application of generalized non-local quantum hydrodynamics to the calculation of the charge inner structures for proton and electron // J. Modern Physics. 2012. V. 3. P. 1895-1906. doi:10.4236/jmp.2012.312239 Published Online December 2012 (http://www.SciRP.org/journal/jmp).</mixed-citation><mixed-citation xml:lang="en">Alexeev B.V. Application of generalized non-local quantum hydrodynamics to the calculation of the charge inner structures for proton and electron // J. Modern Physics. 2012. V. 3. P. 1895-1906. doi:10.4236/jmp.2012.312239 Published Online December 2012 (http://www.SciRP.org/journal/jmp).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Alexeev B.V. To the theory of galaxies rotation and the Hubble expansion in the frame of non-local physics // J. Modern Physics. 2012. V. 3. P. 1103-1122. doi:10.4236/jmp.2012.329145 Published Online September 2012 (http://www.SciRP.org/journal/jmp).</mixed-citation><mixed-citation xml:lang="en">Alexeev B.V. To the theory of galaxies rotation and the Hubble expansion in the frame of non-local physics // J. Modern Physics. 2012. V. 3. P. 1103-1122. doi:10.4236/jmp.2012.329145 Published Online September 2012 (http://www.SciRP.org/journal/jmp).</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Boltzmann L. Weitere Studien über das Wärmegleichgewicht unter Gasmolekulen // Sitz. Ber. Kaiserl. Akad. Wiss. 1872. V. 66 (2). P. 275.</mixed-citation><mixed-citation xml:lang="en">Boltzmann L. Weitere Studien über das Wärmegleichgewicht unter Gasmolekulen // Sitz. Ber. Kaiserl. Akad. Wiss. 1872. V. 66 (2). P. 275.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Boltzmann L. Vorlesungen über Gastheorie. Leipzig: Verlag von Johann Barth, 1912. 554 s.</mixed-citation><mixed-citation xml:lang="en">Boltzmann L. Vorlesungen über Gastheorie. Leipzig: Verlag von Johann Barth, 1912. 554 s.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Bell J.S. On the Einstein Podolsky Rosen paradox // Physics. 1964. V. 1. P. 195-200.</mixed-citation><mixed-citation xml:lang="en">Bell J.S. On the Einstein Podolsky Rosen paradox // Physics. 1964. V. 1. P. 195-200.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Chapman S., Cowling T.G. The mathematical theory of non-uniform gases. Cambridge: Univ. Press, 1952. 510 p.</mixed-citation><mixed-citation xml:lang="en">Chapman S., Cowling T.G. The mathematical theory of non-uniform gases. Cambridge: Univ. Press, 1952. 510 p.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Hirschfelder I.O., Curtiss Ch.F., Bird R.B. Molecular theory of gases and liquids. New York: John Wiley and sons, inc. London: Chapman and Hall, lim., 1954. 929 p.</mixed-citation><mixed-citation xml:lang="en">Hirschfelder I.O., Curtiss Ch.F., Bird R.B. Molecular theory of gases and liquids. New York: John Wiley and sons, inc. London: Chapman and Hall, lim., 1954. 929 p.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Madelung E. Quantum theory in hydrodynamical form // Zeit. f. Phys. 1927. V. 40. S. 322-325. doi:10.1007/BF01400372.</mixed-citation><mixed-citation xml:lang="en">Madelung E. Quantum theory in hydrodynamical form // Zeit. f. Phys. 1927. V. 40. S. 322-325. doi:10.1007/BF01400372.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Alexeev B.V., Abakumov A.I., Vinogradov V.S. Mathematical modeling of elastic interactions of fast electrons with atoms and molecules // Communications on the Applied Mathematics. Computer Centre of the USSR Academy of Sciences. Moscow, 1986. 68 p.</mixed-citation><mixed-citation xml:lang="en">Alexeev B.V., Abakumov A.I., Vinogradov V.S. Mathematical modeling of elastic interactions of fast electrons with atoms and molecules // Communications on the Applied Mathematics. Computer Centre of the USSR Academy of Sciences. Moscow, 1986. 68 p.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Alexeev B.V. Non-local physics. Non-relativistic theory. Saarbrücken: Lambert Academic Press, 2011. 499 p. (in Russ.).</mixed-citation><mixed-citation xml:lang="en">Alexeev B.V. Non-local physics. Non-relativistic theory. Saarbrücken: Lambert Academic Press, 2011. 499 p. (in Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Alexeev B.V., Ovchinnikova I.V. Non-local physics. Relativistic theory. Saarbracken: Lambert Academic Press, 2011. 406 р. (in Russ.).</mixed-citation><mixed-citation xml:lang="en">Alexeev B.V., Ovchinnikova I.V. Non-local physics. Relativistic theory. Saarbracken: Lambert Academic Press, 2011. 406 р. (in Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Dehmelt H. A single atomic particle forever floating at rest in free space: New value for electron radius // Physica Scripta. 1988. V. 22. Р. 102-110. Bibcode 1988 PhST.22.102D. doi:10.1088/0031-8949/1988/T22/016.</mixed-citation><mixed-citation xml:lang="en">Dehmelt H. A single atomic particle forever floating at rest in free space: New value for electron radius // Physica Scripta. 1988. V. 22. Р. 102-110. Bibcode 1988 PhST.22.102D. doi:10.1088/0031-8949/1988/T22/016.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Ekstrom Ph., Wineland D. The isolated electron // Sci. Amer. 1980. V. 243. № 2. Р. 90-98, 100-101.</mixed-citation><mixed-citation xml:lang="en">Ekstrom Ph., Wineland D. The isolated electron // Sci. Amer. 1980. V. 243. № 2. Р. 90-98, 100-101.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Blokhintsev D.I. When the weak interaction becomes the strong one? // Physics-Uspekhi. Letter to Editor. 1957. V. LXII. № 3. Р. 381-383.</mixed-citation><mixed-citation xml:lang="en">Blokhintsev D.I. When the weak interaction becomes the strong one? // Physics-Uspekhi. Letter to Editor. 1957. V. LXII. № 3. Р. 381-383.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
