Science Publications

Sign Up
Sign In
Submit
Current Research in Public Health
Cite This Article Share Download PDF XML
  1. Home
  2. Journals
  3. Current Research in Public Health
  4. Archive
  5. Volume 1, Issue 1, 2022
  6. Article
Article Open Access September 11, 2022

Role of Skew-Symmetric Differential Forms in Mathematical Physics and Field Theory

L. I. Petrova 1,*
1
Department of Computational Mathematics and Cybernetics, Moscow State University, Russia
Publihed in: Current Research in Public Health (Volume 1, Issue 1, 2022)
Page(s): 32-47
DOI: 10.31586/ujpr.2022.345
Received
June 22, 2022
Revised
August 29, 2022
Accepted
September 09, 2022
Published
September 11, 2022
Keywords
Mathematical Physics Equations; Field Theory Equations; Conservation Laws; Skew-Symmetric Differential Forms; Material Media
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright: Copyright © The Author(s), 2022. Published by Scientific Publications
Article metrics
Views
459
Downloads
156

Cite This Article

APA Style
Petrova, L. I. (2022). Role of Skew-Symmetric Differential Forms in Mathematical Physics and Field Theory. Current Research in Public Health, 1(1), 32-47. https://doi.org/10.31586/ujpr.2022.345
ACS Style
Petrova, L. I. Role of Skew-Symmetric Differential Forms in Mathematical Physics and Field Theory. Current Research in Public Health 2022 1(1), 32-47. https://doi.org/10.31586/ujpr.2022.345
Chicago/Turabian Style
Petrova, L. I.. 2022. "Role of Skew-Symmetric Differential Forms in Mathematical Physics and Field Theory". Current Research in Public Health 1, no. 1: 32-47. https://doi.org/10.31586/ujpr.2022.345
AMA Style
Petrova LI. Role of Skew-Symmetric Differential Forms in Mathematical Physics and Field Theory. Current Research in Public Health. 2022; 1(1):32-47. https://doi.org/10.31586/ujpr.2022.345 
@Article{crph345,
AUTHOR = {Petrova, L. I.},
TITLE = {Role of Skew-Symmetric Differential Forms in Mathematical Physics and Field Theory},
JOURNAL = {Current Research in Public Health},
VOLUME = {1},
YEAR = {2022},
NUMBER = {1},
PAGES = {32-47},
URL = {https://www.scipublications.com/journal/index.php/UJPR/article/view/345},
ISSN = {2831-5162},
DOI = {10.31586/ujpr.2022.345},
ABSTRACT = {Skew-symmetric differential forms possess properties that enable one to carry out a qualitative investigation of the equations of mathematical physics and the foundations of field theories. In the paper we call attention to a unique role in field theory of closed exterior skew-symmetric differential forms, which correspond to conservation laws for physical fields (to conservative quantities). At the same time, it was shown that such closed exterior forms can be derived from skew-symmetric differential forms, which follow from the mathematical physics equations describing material media such as thermodynamic, gas-dynamic, cosmic media. This points a connection the field theory equations with the mathematical physics equations. Such connection discloses the properties and specific features of field theory.},
}
%0 Journal Article
%A Petrova, L. I.
%D 2022
%J Current Research in Public Health

%@ 2831-5162
%V 1
%N 1
%P 32-47

%T Role of Skew-Symmetric Differential Forms in Mathematical Physics and Field Theory
%M doi:10.31586/ujpr.2022.345
%U https://www.scipublications.com/journal/index.php/UJPR/article/view/345

TY  - JOUR
AU  - Petrova, L. I.
TI  - Role of Skew-Symmetric Differential Forms in Mathematical Physics and Field Theory
T2  - Current Research in Public Health
PY  - 2022
VL  - 1
IS  - 1
SN  - 2831-5162
SP  - 32
EP  - 47
UR  - https://www.scipublications.com/journal/index.php/UJPR/article/view/345
AB  - Skew-symmetric differential forms possess properties that enable one to carry out a qualitative investigation of the equations of mathematical physics and the foundations of field theories. In the paper we call attention to a unique role in field theory of closed exterior skew-symmetric differential forms, which correspond to conservation laws for physical fields (to conservative quantities). At the same time, it was shown that such closed exterior forms can be derived from skew-symmetric differential forms, which follow from the mathematical physics equations describing material media such as thermodynamic, gas-dynamic, cosmic media. This points a connection the field theory equations with the mathematical physics equations. Such connection discloses the properties and specific features of field theory.
DO  - Role of Skew-Symmetric Differential Forms in Mathematical Physics and Field Theory
TI  - 10.31586/ujpr.2022.345
ER  -