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...

Full description

Bibliographic Details
Main Authors: B. V. Alexeev, I. V. Ovchinnikova
Format: Article
Language:Russian
Published: MIREA - Russian Technological University 2010-04-01
Series:Тонкие химические технологии
Subjects:
Online Access:https://www.finechem-mirea.ru/jour/article/view/989
_version_ 1797882156690702336
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