То the relativistic kinetic and hydrodynamic theory
On the basis of statistical description the movement of relativistic particles without external forces is considered. The hydrodynamic form of the Dirac equation is suggested. The Lorentz invariant form of the non-local Alexeev equation (generalized Boltzmann equation) was obtained. These results le...
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Format: | Article |
Language: | Russian |
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MIREA - Russian Technological University
2010-04-01
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Series: | Тонкие химические технологии |
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Online Access: | https://www.finechem-mirea.ru/jour/article/view/989 |
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author | B. V. Alexeev I. V. Ovchinnikova |
author_facet | B. V. Alexeev I. V. Ovchinnikova |
author_sort | B. V. Alexeev |
collection | DOAJ |
description | On the basis of statistical description the movement of relativistic particles without external forces is considered. The hydrodynamic form of the Dirac equation is suggested. The Lorentz invariant form of the non-local Alexeev equation (generalized Boltzmann equation) was obtained. These results lead to the possibility of construction of relativistic quantum hydrodynamics. This paper can also be considered as continuation of the known monograph (Boris V. Alexeev, Generalized Boltzmann Physical Kinetics. Elsevier. 2004). |
first_indexed | 2024-04-10T03:31:32Z |
format | Article |
id | doaj.art-0b11c36bcc6c4f73a5f4383bb8699d75 |
institution | Directory Open Access Journal |
issn | 2410-6593 2686-7575 |
language | Russian |
last_indexed | 2024-04-10T03:31:32Z |
publishDate | 2010-04-01 |
publisher | MIREA - Russian Technological University |
record_format | Article |
series | Тонкие химические технологии |
spelling | doaj.art-0b11c36bcc6c4f73a5f4383bb8699d752023-03-13T07:25:30ZrusMIREA - Russian Technological UniversityТонкие химические технологии2410-65932686-75752010-04-0152317983То the relativistic kinetic and hydrodynamic theoryB. V. Alexeev0I. V. Ovchinnikova1МИТХТ им. М.В. Ломоносова, 119571, Москва, пр-т Вернадского, д. 86МИТХТ им. М.В. Ломоносова, 119571, Москва, пр-т Вернадского, д. 86On the basis of statistical description the movement of relativistic particles without external forces is considered. The hydrodynamic form of the Dirac equation is suggested. The Lorentz invariant form of the non-local Alexeev equation (generalized Boltzmann equation) was obtained. These results lead to the possibility of construction of relativistic quantum hydrodynamics. This paper can also be considered as continuation of the known monograph (Boris V. Alexeev, Generalized Boltzmann Physical Kinetics. Elsevier. 2004).https://www.finechem-mirea.ru/jour/article/view/989hydrodynamic form of dirac equationnon-local alexeev equationrelativistic quantum hydrodynamics |
spellingShingle | B. V. Alexeev I. V. Ovchinnikova То the relativistic kinetic and hydrodynamic theory Тонкие химические технологии hydrodynamic form of dirac equation non-local alexeev equation relativistic quantum hydrodynamics |
title | То the relativistic kinetic and hydrodynamic theory |
title_full | То the relativistic kinetic and hydrodynamic theory |
title_fullStr | То the relativistic kinetic and hydrodynamic theory |
title_full_unstemmed | То the relativistic kinetic and hydrodynamic theory |
title_short | То the relativistic kinetic and hydrodynamic theory |
title_sort | то the relativistic kinetic and hydrodynamic theory |
topic | hydrodynamic form of dirac equation non-local alexeev equation relativistic quantum hydrodynamics |
url | https://www.finechem-mirea.ru/jour/article/view/989 |
work_keys_str_mv | AT bvalexeev totherelativistickineticandhydrodynamictheory AT ivovchinnikova totherelativistickineticandhydrodynamictheory |